Common Core Standard 2.MD.B.5
This standard covers the following:
Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.
Problem: Mrs. Johnson is sewing a large quilt that requires 81 inches of fabric. If she already has 50 inches of fabric, how many more inches does she need to finish the quilt?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total fabric required for the quilt and the fabric Mrs. Johnson already has. Given information: - The quilt requires 81 inches of fabric. - Mrs. Johnson already has 50 inches of fabric. Step 1: Find the remaining fabric needed to finish the quilt. Remaining fabric needed = Total fabric required - Fabric already available Remaining fabric needed = 81 inches - 50 inches Remaining fabric needed = 31 inches Therefore, Mrs. Johnson needs 31 more inches of fabric to finish the quilt. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: After completing her quilt, Mrs. Johnson realizes that she would like to add a decorative border around it. This border requires an additional 55 inches of fabric. How many inches of fabric does she need in total, including her initial quilt and the new border?
Claude-3 Sonnet:
To solve this problem, we need to find the total fabric required for the quilt and the decorative border. Given information: - The initial quilt required 81 inches of fabric. - The decorative border requires an additional 55 inches of fabric. Step 1: Find the total fabric required for the quilt and the decorative border. Total fabric required = Fabric required for the quilt + Fabric required for the border Total fabric required = 81 inches + 55 inches Total fabric required = 136 inches Therefore, Mrs. Johnson needs a total of 136 inches of fabric for her quilt and the decorative border. ### Answer: 136
Expected answer: 86
Correct? No
Problem: In the process of making her quilt, Mrs. Johnson had initially planned to use 81 inches of fabric. However, she found a way to redesign the pattern, and now only needs 73 inches of fabric for the quilt. How much less fabric does she need than originally planned?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the originally planned fabric requirement and the new fabric requirement after redesigning the pattern. Given information: - Originally planned fabric requirement = 81 inches - New fabric requirement after redesigning = 73 inches Step 1: Find the difference between the originally planned fabric requirement and the new fabric requirement. Difference in fabric requirement = Originally planned fabric requirement - New fabric requirement Difference in fabric requirement = 81 inches - 73 inches Difference in fabric requirement = 8 inches Therefore, Mrs. Johnson needs 8 inches less fabric than originally planned after redesigning the pattern. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Fred is building a fence around his garden. He has already put up 44 feet of the fence, but realizes that he needs another 4 feet of fencing to complete it. How many feet of fencing will Fred need in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence by adding the length of the fence already put up and the additional length needed to complete it. Given information: - Fred has already put up 44 feet of the fence. - Fred needs another 4 feet of fencing to complete it. Step 1: Find the total length of the fence by adding the length of the fence already put up and the additional length needed. Total length of the fence = Length of the fence already put up + Additional length needed Total length of the fence = 44 feet + 4 feet Total length of the fence = 48 feet Therefore, Fred will need a total of 48 feet of fencing to complete the fence around his garden. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Fred originally built his garden fence with a total length of 44 feet. However, after further consideration, he decides to extend the fence by another 25 feet to encompass a larger area of his garden. How many feet of fencing will Fred need in total for this expanded garden?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence after the extension by adding the original length of the fence and the additional length needed for the extension. Given information: - Fred originally built his garden fence with a total length of 44 feet. - Fred decides to extend the fence by another 25 feet. Step 1: Find the total length of the fence after the extension. Total length of the fence after the extension = Original length of the fence + Additional length for the extension Total length of the fence after the extension = 44 feet + 25 feet Total length of the fence after the extension = 69 feet Therefore, Fred will need a total of 69 feet of fencing for his expanded garden. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: A builder needs to construct a wall that is 95 meters long. If he already has built 39 meters of it, how many more meters does the builder need to construct to finish the wall?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the wall that needs to be constructed. Given information: - The total length of the wall is 95 meters. - The builder has already constructed 39 meters of the wall. Step 1: Find the remaining length of the wall. Remaining length of the wall = Total length of the wall - Length already constructed Remaining length of the wall = 95 meters - 39 meters Remaining length of the wall = 56 meters Therefore, the builder needs to construct 56 more meters to finish the wall. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: After the builder finishes the 95-meter wall, he finds an additional construction task requiring a 72-meter wall. If he is going to use the leftover material from the first wall, how many more meters of material does he need to meet the requirement for the new wall?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of material needed for the new 72-meter wall after using the leftover material from the first wall. Given information: - The length of the first wall was 95 meters. - The length of the new wall is 72 meters. - The builder has already constructed 39 meters of the first wall. Step 1: Find the length of material leftover from the first wall. Length of material leftover = Total length of the first wall - Length already constructed Length of material leftover = 95 meters - 39 meters Length of material leftover = 56 meters Step 2: Find the remaining length of material needed for the new wall. Remaining length of material needed = Length of the new wall - Length of material leftover Remaining length of material needed = 72 meters - 56 meters Remaining length of material needed = 16 meters Therefore, the builder needs 16 more meters of material to meet the requirement for the new 72-meter wall. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Suppose instead of building a 95-meter wall initially, the builder was tasked to build a 40-meter wall. If he already has built 39 meters of it, how many more meters does he need to build to finish the wall?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the wall that needs to be constructed. Given information: - The total length of the wall is 40 meters. - The builder has already constructed 39 meters of the wall. Step 1: Find the remaining length of the wall. Remaining length of the wall = Total length of the wall - Length already constructed Remaining length of the wall = 40 meters - 39 meters Remaining length of the wall = 1 meter Therefore, the builder needs to construct 1 more meter to finish the 40-meter wall. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mia has 79 meters of string. She gives 68 meters of it to her friend. Later, she buys an additional 19 meters of string. In total, how many meters of string does Mia have now?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of string Mia has after giving away 68 meters and then adding the 19 meters she bought. Given information: - Mia initially has 79 meters of string. - Mia gives away 68 meters of string to her friend. - Mia buys an additional 19 meters of string. Step 1: Find the amount of string Mia has after giving away 68 meters. Initial amount of string - Amount given away = Remaining amount of string 79 meters - 68 meters = 11 meters Step 2: Find the total amount of string Mia has after buying an additional 19 meters. Remaining amount of string + Additional amount of string bought = Total amount of string 11 meters + 19 meters = 30 meters Therefore, Mia now has a total of 30 meters of string. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Continuing from the previous problem, if Mia wants to reach a goal of having exactly 51 meters of string, how many more meters of string does she need to buy?
Claude-3 Sonnet:
In the previous problem, we found that Mia currently has 30 meters of string. Given information: - Mia currently has 30 meters of string. - Mia wants to have a total of 51 meters of string. To find how many more meters of string Mia needs to buy, we need to subtract the amount of string she currently has from her desired goal. Step 1: Find the difference between Mia's desired goal and the amount of string she currently has. Desired goal - Current amount of string = Additional amount of string needed 51 meters - 30 meters = 21 meters Therefore, Mia needs to buy an additional 21 meters of string to reach her goal of having exactly 51 meters of string. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: Continuing from the initial problem, suppose that instead of receiving an additional 19 meters of string, Mia actually bought 61 meters more. How many meters of string would she have then?
Claude-3 Sonnet:
Okay, let's continue from the initial problem with the new information. Given information: - Mia initially had 79 meters of string. - Mia gave away 68 meters of string to her friend. - Instead of buying 19 meters of string, Mia bought 61 meters of string. Step 1: Find the amount of string Mia had after giving away 68 meters. Initial amount of string - Amount given away = Remaining amount of string 79 meters - 68 meters = 11 meters Step 2: Find the total amount of string Mia has after buying an additional 61 meters. Remaining amount of string + Additional amount of string bought = Total amount of string 11 meters + 61 meters = 72 meters Therefore, if Mia bought 61 meters of string instead of 19 meters, she would have a total of 72 meters of string. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: David is making a blanket that requires 54 inches of fabric. However, he only has 33 inches of fabric at home. How many more inches of fabric does David need to complete his blanket?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the required length of fabric for the blanket and the amount of fabric David has at home. Given information: - The blanket requires 54 inches of fabric. - David has 33 inches of fabric at home. Step 1: Find the difference between the required length of fabric and the available fabric. Required length of fabric - Available fabric = Additional fabric needed 54 inches - 33 inches = 21 inches Therefore, David needs 21 more inches of fabric to complete his blanket. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: After making the blanket, David realizes he made a mistake in his measurement. He actually needs 69 inches of fabric for the blanket instead of 54 inches. Given that he still only has 33 inches of fabric at home, how many more inches of fabric does David now need to correct his mistake?
Claude-3 Sonnet:
Okay, let's solve this updated problem. Given information: - The blanket actually requires 69 inches of fabric (not 54 inches). - David still has 33 inches of fabric at home. Step 1: Find the difference between the required length of fabric and the available fabric. Required length of fabric - Available fabric = Additional fabric needed 69 inches - 33 inches = 36 inches Therefore, with the corrected measurement, David now needs 36 more inches of fabric to complete his blanket. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Hank started digging a tunnel to reach a hidden treasure. He planned to dig a tunnel 82 feet in length. After digging for several days, he found that he had only been able to dig a 62 feet long tunnel. How many more feet does Hank need to dig to reach his planned length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the planned length of the tunnel and the length of the tunnel that Hank has already dug. Given information: - Hank planned to dig a tunnel 82 feet in length. - Hank has already dug a tunnel 62 feet long. Step 1: Find the difference between the planned length and the length of the tunnel already dug. Planned length of the tunnel - Length of the tunnel already dug = Remaining length to be dug 82 feet - 62 feet = 20 feet Therefore, Hank needs to dig 20 more feet to reach his planned length of 82 feet. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: After figuring out how many more feet Hank needs to dig to reach the planned length of his tunnel, he decides to expand the tunnel by an additional 22 feet to make it more spacious. How many feet in total does Hank now need to dig to very the new planned length for his tunnel?
Claude-3 Sonnet:
Okay, let's break this down: * Originally, Hank planned to dig a tunnel 82 feet long * He has already dug 62 feet * To reach the original planned length, he needs to dig an additional 20 feet (82 - 62 = 20) * Now, he wants to expand the tunnel by an additional 22 feet To find the total length he now needs to dig, we take the original planned length (82 feet) and add the additional 22 feet for the expansion. * New planned length = 82 feet + 22 feet = 104 feet * He has already dug 62 feet * So the remaining length he needs to dig is: 104 feet - 62 feet = 42 feet Therefore, the total length Hank now needs to dig to reach the new planned length for his tunnel is 42 feet. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: If instead of 62 feet, Hank had initially been able to dig only 42 feet of the 82 feet long planned tunnel, how many more feet would he now need to dig to reach his originally planned length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the planned length of the tunnel and the length of the tunnel that Hank has already dug. Given information: - Hank planned to dig a tunnel 82 feet in length. - Hank has already dug a tunnel 42 feet long. Step 1: Find the difference between the planned length and the length of the tunnel already dug. Planned length of the tunnel - Length of the tunnel already dug = Remaining length to be dug 82 feet - 42 feet = 40 feet Therefore, if Hank had initially dug only 42 feet of the planned 82 feet long tunnel, he would need to dig 40 more feet to reach his originally planned length of 82 feet. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: A craftsman is building a large dining table. One side measures 43 inches, and he needs to cut another piece that is 36 inches to fit the other side. How long is the table when the two parts are combined?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two sides of the table. Given information: - One side of the table measures 43 inches. - The other side needs to be cut to 36 inches. Step 1: Add the lengths of the two sides. Length of the table = Length of one side + Length of the other side Length of the table = 43 inches + 36 inches Length of the table = 79 inches Therefore, when the two parts are combined, the length of the table is 79 inches. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: The craftsman realizes that the dining table is too long for the dining area. He decides to trim it by 35 inches. How long will the table be after it has been trimmed?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the table after trimming it by 35 inches. Given information: - The original length of the table is 79 inches. - The craftsman wants to trim the table by 35 inches. Step 1: Subtract the length to be trimmed from the original length of the table. Length of the table after trimming = Original length of the table - Length to be trimmed Length of the table after trimming = 79 inches - 35 inches Length of the table after trimming = 44 inches Therefore, after trimming the table by 35 inches, the new length of the table will be 44 inches. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: John is working on a project that requires a rope of certain length. He currently has a piece of rope that is 74 feet long. He realizes he still needs an additional 6 feet of rope to complete the project. How long is the total amount of rope that John needs in feet?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of rope required for John's project. Given information: - John currently has a piece of rope that is 74 feet long. - John needs an additional 6 feet of rope to complete the project. To find the total length of rope needed, we need to add the length of the rope John already has and the additional length he needs. Total length of rope needed = Length of rope John has + Additional length needed Total length of rope needed = 74 feet + 6 feet Total length of rope needed = 80 feet Therefore, the total amount of rope that John needs for his project is 80 feet. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: John is working on a project that requires a rope of certain length. He currently has a piece of rope that is 74 feet long. He realizes he still needs an additional 6 feet of rope to complete the project. How long is the total amount of rope that John needs in feet? After finishing his project, John realizes that he is 94 feet away from the workshop. Subtracting the length of the rope he used from the total distance to the workshop, how far away is John from the workshop now?
Claude-3 Sonnet:
In the first part of the problem, we found that the total length of rope John needed for his project was 80 feet. Now, we need to find how far John is from the workshop after using the rope for his project. Given information: - John is 94 feet away from the workshop. - John used 80 feet of rope for his project. To find the remaining distance from the workshop, we need to subtract the length of rope used from the total distance to the workshop. Remaining distance from the workshop = Total distance to the workshop - Length of rope used Remaining distance from the workshop = 94 feet - 80 feet Remaining distance from the workshop = 14 feet Therefore, after using the rope for his project, John is now 14 feet away from the workshop. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In John's rope project, consider a variation. Suppose he originally had a rope that was 92 feet long instead of 74 feet. He still realizes he needs an additional 6 feet of rope to complete his project. In this case, how long is the total amount of rope that John needs in feet?
Claude-3 Sonnet:
In this variation, the given information is: - John originally had a rope that was 92 feet long. - He needs an additional 6 feet of rope to complete the project. To find the total length of rope needed, we need to add the length of the rope John already has and the additional length he needs. Total length of rope needed = Length of rope John has + Additional length needed Total length of rope needed = 92 feet + 6 feet Total length of rope needed = 98 feet Therefore, in this case, the total amount of rope that John needs for his project is 98 feet. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: David is cutting strings for his craft project. He cuts a string into 14 equal pieces but then decides he doesn't need one of them. What would be the number of string pieces David has after removing the unwanted piece?
Claude-3 Sonnet:
To solve this problem, we need to find the number of string pieces David has after removing one piece from the 14 equal pieces. Given information: - David cuts a string into 14 equal pieces. - David decides to remove one piece. Step 1: Find the number of string pieces David has initially. Number of string pieces initially = 14 Step 2: Remove one piece from the initial number of pieces. Number of string pieces after removing one piece = 14 - 1 = 13 Therefore, after removing the unwanted piece, David has 13 string pieces. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following his previous craft project, David decides to create another. This time he cuts 39 equal pieces of string. He then decides to add the leftover strings from his last project. How many pieces of string does David have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of string pieces David has after adding the leftover strings from his previous project to the new 39 pieces. Given information: - David cuts 39 equal pieces of string for his new project. - David has 13 leftover string pieces from his previous project (based on the previous problem). Step 1: Find the number of string pieces David has for his new project. Number of string pieces for the new project = 39 Step 2: Find the total number of string pieces by adding the leftover pieces from the previous project. Total number of string pieces = Number of string pieces for the new project + Number of leftover pieces from the previous project Total number of string pieces = 39 + 13 = 52 Therefore, David now has a total of 52 pieces of string after adding the leftover strings from his previous project. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: After reviewing his project once again, David decides to replace one of his earlier projects where he had cut 86 equal pieces of string. This time, he doesn't require one and removes it. Now how many pieces of string does David have from this particular project?
Claude-3 Sonnet:
To solve this problem, we need to find the number of string pieces David has after removing one piece from the 86 equal pieces. Given information: - David cut 86 equal pieces of string for an earlier project. - David decides to remove one piece from the 86 pieces. Step 1: Find the number of string pieces David has initially. Number of string pieces initially = 86 Step 2: Remove one piece from the initial number of pieces. Number of string pieces after removing one piece = 86 - 1 = 85 Therefore, after removing one piece from the 86 equal pieces of string, David has 85 pieces of string from this particular project. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A contractor was supposed to cut a piece of timber into two pieces. The first piece measured 66 feet. The contractor then accidentally severed the remaining piece into an additional 19 feet piece. What is the total length of the initially uncut timber piece?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the initially uncut timber piece by adding the lengths of the three pieces that were cut. Given information: - The first piece measured 66 feet. - The remaining piece was accidentally severed into an additional 19 feet piece. Let's represent the length of the second piece (before being severed) as x. We know that the sum of the lengths of the three pieces should be equal to the total length of the initially uncut timber piece. 66 feet + x feet + 19 feet = Total length of the initially uncut timber piece Rearranging the equation, we get: x + 85 feet = Total length of the initially uncut timber piece Since we don't know the value of x, we cannot find the exact total length. However, we can express the answer in terms of x. ### Answer: x + 85 feet
Expected answer: 85
Correct? Yes
Problem: After measuring again, the contractor notices that he cut 3 feet too much from the initial length of timber. What is the correct length of the initially uncut timber?
Claude-3 Sonnet:
Okay, let's revisit this problem with the new information. Given: - The first piece measured 66 feet. - The remaining piece was accidentally severed into an additional 19 feet piece. - The contractor cut 3 feet too much from the initial length of timber. Let's represent the length of the second piece (before being severed) as x. We know that the sum of the lengths of the three pieces should be equal to the total length of the initially uncut timber piece minus the excess length cut (3 feet). 66 feet + x feet + 19 feet = Total length of the initially uncut timber piece - 3 feet Rearranging the equation, we get: x + 85 feet = Total length of the initially uncut timber piece - 3 feet x + 85 feet + 3 feet = Total length of the initially uncut timber piece x + 88 feet = Total length of the initially uncut timber piece Since we don't know the value of x, we cannot find the exact total length. However, we can express the answer in terms of x. ### Answer: x + 88 feet
Expected answer: 82
Correct? No
Problem: Suppose the contractor made a mistake and the first piece was only supposed to measure 30 feet, not 66 feet, with the additional 19 feet piece remaining the same. What would then be the total length of the initially uncut timber piece?
Claude-3 Sonnet:
In this case, the given information is: - The first piece was supposed to measure 30 feet (instead of 66 feet). - The remaining piece was accidentally severed into an additional 19 feet piece. Let's represent the length of the second piece (before being severed) as y. We know that the sum of the lengths of the three pieces should be equal to the total length of the initially uncut timber piece. 30 feet + y feet + 19 feet = Total length of the initially uncut timber piece Rearranging the equation, we get: y + 49 feet = Total length of the initially uncut timber piece Since we don't know the value of y, we cannot find the exact total length. However, we can express the answer in terms of y. ### Answer: y + 49 feet
Expected answer: 49
Correct? Yes
Problem: Daniel is constructing a fence for his yard. He has already built 36 feet of the fence, but he then realizes he needs another 7 feet to complete it. How many feet of fencing does Daniel need in total to complete his backyard fence?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence required for Daniel's backyard. Given information: - Daniel has already built 36 feet of the fence. - He needs an additional 7 feet to complete the fence. To find the total length of the fence, we need to add the length of the fence already built and the additional length required. Total length of the fence = Length of the fence already built + Additional length required Total length of the fence = 36 feet + 7 feet Total length of the fence = 43 feet Therefore, Daniel needs a total of 43 feet of fencing to complete his backyard fence. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Now that Daniel has completed his backyard fence, he decided to also add a fence to the front yard. He plans to build the front yard fence with the same length as the backyard one. What is the total length of fencing Daniel needs for both his front and back yard?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of fencing required for both the front yard and the backyard. Given information: - Daniel has already built a fence for the backyard with a length of 43 feet. - He plans to build the front yard fence with the same length as the backyard fence. Since the front yard fence will have the same length as the backyard fence, the length of the front yard fence is also 43 feet. Total length of fencing required = Length of the backyard fence + Length of the front yard fence Total length of fencing required = 43 feet + 43 feet Total length of fencing required = 86 feet Therefore, Daniel needs a total of 86 feet of fencing for both his front and back yards. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: Daniel reevaluated his measurements and found he only needs 8 feet of fencing instead of 36 feet for his front yard, but still needs an additional 7 feet. How many total feet of fencing does Daniel need now to build the fence for his front yard?
Claude-3 Sonnet:
Okay, let's recalculate the total length of fencing needed for Daniel's front yard with the updated information. Given information: - Daniel needs 8 feet of fencing for his front yard (instead of the initial 36 feet). - He still needs an additional 7 feet to complete the fence. To find the total length of the fence, we need to add the length of the fence required for the front yard and the additional length required. Total length of the fence = Length of the fence required for the front yard + Additional length required Total length of the fence = 8 feet + 7 feet Total length of the fence = 15 feet Therefore, with the updated measurements, Daniel needs a total of 15 feet of fencing to build the fence for his front yard. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: The length of a cricket pitch is generally 76 yards. However, a local community's cricket club has a pitch that is only 64 yards long. How much shorter in yards is the community club's cricket pitch than the generally accepted length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the generally accepted length of a cricket pitch and the length of the community club's cricket pitch. Given information: - The generally accepted length of a cricket pitch is 76 yards. - The length of the community club's cricket pitch is 64 yards. Step 1: Find the difference between the generally accepted length and the community club's pitch length. Difference in length = Generally accepted length - Community club's pitch length Difference in length = 76 yards - 64 yards Difference in length = 12 yards Therefore, the community club's cricket pitch is 12 yards shorter than the generally accepted length. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: The cricket club further adjusts the length of its pitch and manages to extend it from 51 yards to 72 yards. However, the standard pitch length in cricket is 76 yards. How many more yards does the club need to extend to finally meet the standard length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the standard pitch length and the new length of the community club's cricket pitch after the extension. Given information: - The standard pitch length in cricket is 76 yards. - The community club's cricket pitch was initially 51 yards long. - The community club extended the pitch length to 72 yards. Step 1: Find the difference between the standard pitch length and the new length of the community club's pitch. Difference in length = Standard pitch length - New length of the community club's pitch Difference in length = 76 yards - 72 yards Difference in length = 4 yards Therefore, the community club needs to extend the pitch by 4 more yards to finally meet the standard length of 76 yards. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Jake has a string that is 67 meters long. He cut off 5 meters to use for a school project. He later bought an additional 35 meters of string. How long is Jake's string now?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the string after cutting off 5 meters and then adding 35 meters. Given information: - Jake initially had a string that was 67 meters long. - He cut off 5 meters for a school project. - He later bought an additional 35 meters of string. Step 1: Find the length of the string after cutting off 5 meters. Initial length of the string - Length cut off = Length after cutting 67 meters - 5 meters = 62 meters Step 2: Find the length of the string after adding 35 meters. Length after cutting + Additional length bought = Final length of the string 62 meters + 35 meters = 97 meters Therefore, Jake's string is now 97 meters long. ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: After accounting for his recent purchases, Jake decided to use 22 meters of the string to create a hammock. After making the hammock, how long is Jake's string now?
Claude-3 Sonnet:
To solve this problem, we need to find the length of Jake's string after he used 22 meters to create a hammock. Given information: - Jake's string was initially 97 meters long. - He used 22 meters of the string to create a hammock. Step 1: Find the length of the string after using 22 meters for the hammock. Initial length of the string - Length used for the hammock = Length after making the hammock 97 meters - 22 meters = 75 meters Therefore, after making the hammock, Jake's string is now 75 meters long. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: Instead of cutting off 5 meters from the original 67 meters of string, let's say Jake cut off 28 meters for his school project. He then adds an additional 35 meters of string, like before. How long is Jake's string now?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Jake initially had a string that was 67 meters long. - He cut off 28 meters for a school project. - He later bought an additional 35 meters of string. Step 1: Find the length of the string after cutting off 28 meters. Initial length of the string - Length cut off = Length after cutting 67 meters - 28 meters = 39 meters Step 2: Find the length of the string after adding 35 meters. Length after cutting + Additional length bought = Final length of the string 39 meters + 35 meters = 74 meters Therefore, with Jake cutting off 28 meters from the original 67 meters of string and then adding 35 meters, his string is now 74 meters long. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: A builder is constructing a fence that is 92 feet long. If he builds 2 feet of the fence and then stops, how many feet of the fence remain to be built?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the fence and the length of the fence that has already been built. Given information: - The total length of the fence is 92 feet. - The builder has already built 2 feet of the fence. Step 1: Find the length of the fence that remains to be built. Length of the fence remaining = Total length of the fence - Length of the fence already built Length of the fence remaining = 92 feet - 2 feet Length of the fence remaining = 90 feet Therefore, 90 feet of the fence remain to be built. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: Continuing from the previous problem, suppose instead the first fence the builder was constructing was 62 feet long, but he again builds 2 feet and then stops. Now, how many feet of the fence remain to be built?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The total length of the fence is 62 feet. - The builder has already built 2 feet of the fence. Step 1: Find the length of the fence that remains to be built. Length of the fence remaining = Total length of the fence - Length of the fence already built Length of the fence remaining = 62 feet - 2 feet Length of the fence remaining = 60 feet Therefore, with the new information that the total length of the fence is 62 feet and the builder has already built 2 feet, 60 feet of the fence remain to be built. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: A construction crew is laying out the foundation for a new building. The first section of the foundation is 80 feet long. They then need to lay out an additional section of 13 feet. What is the total length of the foundation?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two sections of the foundation. Given information: - The first section of the foundation is 80 feet long. - The additional section of the foundation is 13 feet long. Step 1: Add the lengths of the two sections. Length of the first section + Length of the additional section = Total length of the foundation 80 feet + 13 feet = 93 feet Therefore, the total length of the foundation is 93 feet. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: After finishing the foundation, the construction crew realizes they laid more foundation than necessary. They need to decrease the length of foundation by 62 feet. What will be the final length of the foundation after the alteration?
Claude-3 Sonnet:
To solve this problem, we need to subtract the length that needs to be decreased from the original total length of the foundation. Given information: - The original total length of the foundation was 93 feet. - The construction crew needs to decrease the length of the foundation by 62 feet. Step 1: Subtract the length to be decreased from the original total length. Original total length - Length to be decreased = Final length of the foundation 93 feet - 62 feet = 31 feet Therefore, the final length of the foundation after the alteration will be 31 feet. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Considering the construction crew initially laid a foundation of 70 feet long before adding the additional section of 13 feet, what would the total length of the foundation be?
Claude-3 Sonnet:
Okay, let's reconsider the problem with the updated information. Given information: - The initial section of the foundation is 70 feet long. - The additional section of the foundation is 13 feet long. To find the total length of the foundation, we need to add the lengths of the initial section and the additional section. Step 1: Add the lengths of the two sections. Length of the initial section + Length of the additional section = Total length of the foundation 70 feet + 13 feet = 83 feet Therefore, the total length of the foundation, considering the initial section of 70 feet and the additional section of 13 feet, is 83 feet. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: Susan is stitching a scarf. She initially cut a piece of 78 inches long yarn. But, after stitching some part of the scarf, she noticed she only used 38 inches of yarn. How many inches of yarn does Susan still have left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial length of the yarn and the length of yarn used for stitching. Given information: - Susan initially cut a piece of yarn that was 78 inches long. - Susan used 38 inches of yarn for stitching part of the scarf. Step 1: Find the length of yarn remaining. Length of yarn remaining = Initial length of yarn - Length of yarn used Length of yarn remaining = 78 inches - 38 inches Length of yarn remaining = 40 inches Therefore, Susan still has 40 inches of yarn left. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: As a follow-up question, what if Susan initially cut a piece of 62 inches of yarn instead of 78 inches for the first scarf? After stitching some part of the scarf using 38 inches of yarn, how many inches of yarn would Susan have been left with?
Claude-3 Sonnet:
Okay, let's solve this follow-up question. Given information: - Susan initially cut a piece of yarn that was 62 inches long for the first scarf. - Susan used 38 inches of yarn for stitching part of the scarf. Step 1: Find the length of yarn remaining. Length of yarn remaining = Initial length of yarn - Length of yarn used Length of yarn remaining = 62 inches - 38 inches Length of yarn remaining = 24 inches Therefore, if Susan initially cut a piece of 62 inches of yarn for the first scarf and used 38 inches of yarn for stitching part of the scarf, she would have been left with 24 inches of yarn. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: A contractor is building a new house. He lays down 31 meters of plumbing pipes for the ground floor and 45 meters for the second floor. Later, he realizes that he can save some pipes by re-routing and saves 22 meters from the total length. How much total length of plumbing pipes does he finally use in the house?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of plumbing pipes initially laid down and then subtract the length of pipes saved. Given information: - The contractor laid down 31 meters of plumbing pipes for the ground floor. - The contractor laid down 45 meters of plumbing pipes for the second floor. - The contractor saved 22 meters of pipes by re-routing. Step 1: Find the total length of plumbing pipes initially laid down. Total length of pipes initially laid down = Length of pipes for ground floor + Length of pipes for second floor Total length of pipes initially laid down = 31 meters + 45 meters Total length of pipes initially laid down = 76 meters Step 2: Find the total length of plumbing pipes finally used by subtracting the length of pipes saved. Total length of pipes finally used = Total length of pipes initially laid down - Length of pipes saved Total length of pipes finally used = 76 meters - 22 meters Total length of pipes finally used = 54 meters Therefore, the contractor finally used a total length of 54 meters of plumbing pipes in the house. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Following the completion of the house, the contractor realized he needed to add an additional water line for the garden. For this, he had to use another 11 meters from the remaining pipes. After laying down this pipe, what was the total length of plumbing pipes remaining?
Claude-3 Sonnet:
To solve this problem, we need to find the length of plumbing pipes remaining after laying down the additional 11 meters for the garden water line. Given information: - The contractor initially used 54 meters of plumbing pipes in the house. - The contractor added an additional 11 meters of pipes for the garden water line. Step 1: Find the total length of plumbing pipes used after adding the garden water line. Total length of pipes used = Length of pipes used in the house + Length of pipes used for the garden water line Total length of pipes used = 54 meters + 11 meters Total length of pipes used = 65 meters Step 2: Find the length of plumbing pipes remaining by subtracting the total length of pipes used from the initial total length of pipes. Initial total length of pipes = Length of pipes for ground floor + Length of pipes for second floor Initial total length of pipes = 31 meters + 45 meters Initial total length of pipes = 76 meters Length of pipes remaining = Initial total length of pipes - Total length of pipes used Length of pipes remaining = 76 meters - 65 meters Length of pipes remaining = 11 meters Therefore, after laying down the additional 11 meters for the garden water line, the total length of plumbing pipes remaining was 11 meters. ### Answer: 11
Expected answer: 43
Correct? No
Problem: Upon review, the contractor realized that he had made a measurement error in his initial calculation. In place of the 31 meters of plumbing pipe for the ground floor, he actually needed only 10 meters. After making this correction, adjusting for the second floor and the subsequent adjustments including saving some pipes by re-routing and then adding a separate water line for the garden, what is now the total length of plumbing pipes remaining?
Claude-3 Sonnet:
To solve this problem, we need to recalculate the total length of plumbing pipes initially laid down, considering the correction for the ground floor, and then subtract the length of pipes saved and add the length of the separate water line for the garden. Given information: - The contractor needed 10 meters of plumbing pipes for the ground floor (corrected from 31 meters). - The contractor laid down 45 meters of plumbing pipes for the second floor. - The contractor saved 22 meters of pipes by re-routing. - The contractor added a separate water line for the garden. Step 1: Find the total length of plumbing pipes initially laid down with the corrected ground floor measurement. Total length of pipes initially laid down = Length of pipes for ground floor + Length of pipes for second floor Total length of pipes initially laid down = 10 meters + 45 meters Total length of pipes initially laid down = 55 meters Step 2: Find the length of plumbing pipes remaining after subtracting the length of pipes saved. Length of pipes remaining = Total length of pipes initially laid down - Length of pipes saved Length of pipes remaining = 55 meters - 22 meters Length of pipes remaining = 33 meters Step 3: Add the length of the separate water line for the garden to the length of pipes remaining. Let's assume the length of the separate water line for the garden is 8 meters. Total length of plumbing pipes remaining = Length of pipes remaining + Length of separate water line for the garden Total length of plumbing pipes remaining = 33 meters + 8 meters Total length of plumbing pipes remaining = 41 meters Therefore, after making the correction for the ground floor measurement, adjusting for the second floor, saving some pipes by re-routing, and adding a separate water line for the garden, the total length of plumbing pipes remaining is 41 meters. ### Answer: 41
Expected answer: 33
Correct? No
Problem: Peter has a 21 foot long rope. He decides to extend it with an extra foot to measure a greater span in his garden. How long is his rope now in feet?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the rope after adding an extra foot. Given information: - Peter has a 21-foot-long rope. - He decides to extend it by an extra foot. Step 1: Find the length of the rope after adding the extra foot. Original length of the rope + Extra length added = New length of the rope 21 feet + 1 foot = 22 feet Therefore, after adding an extra foot, Peter's rope is now 22 feet long. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Peter originally had a 67 foot long rope, but he used some of it for other projects. After extending his current 21 foot long rope with an extra foot to measure a greater span in his garden, how much of the original rope does he have left?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the rope after extending it and then subtract it from the original length of the rope. Given information: - Peter originally had a 67-foot-long rope. - He used some of it for other projects, leaving him with a 21-foot-long rope. - He extended the 21-foot-long rope by an extra foot to measure a greater span in his garden. Step 1: Find the length of the rope after extending it. Length of the rope after extending = Original length of the rope + Extra length added Length of the rope after extending = 21 feet + 1 foot = 22 feet Step 2: Find the length of the rope left from the original rope. Length of the rope left = Original length of the rope - Length of the rope after extending Length of the rope left = 67 feet - 22 feet = 45 feet Therefore, after extending his current 21-foot-long rope by an extra foot, Peter has 45 feet of the original rope left. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Instead of extending his current 21 foot long rope by 1 foot, Peter decides to add a 79 foot long piece of rope to it. How long is his rope now?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the rope after adding the 79-foot-long piece to the original 21-foot-long rope. Given information: - Peter has a 21-foot-long rope. - He decides to add a 79-foot-long piece of rope to it. Step 1: Find the total length of the rope after adding the 79-foot-long piece. Original length of the rope + Length of the added piece = New total length of the rope 21 feet + 79 feet = 100 feet Therefore, after adding the 79-foot-long piece of rope, Peter's rope is now 100 feet long. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Jacob is designing a rectangular garden that is 82 feet long. However, he decided to shorten one end by 3 feet to make room for a small shed. How long is the garden now?
Claude-3 Sonnet:
To solve this problem, we need to find the new length of the garden after shortening one end by 3 feet. Given information: - The original length of the garden is 82 feet. - One end of the garden is shortened by 3 feet. Step 1: Subtract the amount shortened from the original length. New length of the garden = Original length - Amount shortened New length of the garden = 82 feet - 3 feet New length of the garden = 79 feet Therefore, after shortening one end by 3 feet, the new length of the garden is 79 feet. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: Now, Jacob wants to install a walkway that goes all around the garden. If the walkway will be an additional 14 feet longer than the length of the garden, how long will the walkway be?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the walkway that goes around the garden, given that it will be 14 feet longer than the length of the garden. Given information: - The length of the garden is 79 feet (from the previous question). - The walkway will be 14 feet longer than the length of the garden. Step 1: Add 14 feet to the length of the garden to find the length of the walkway. Length of the walkway = Length of the garden + 14 feet Length of the walkway = 79 feet + 14 feet Length of the walkway = 93 feet Therefore, the walkway that goes around the garden will be 93 feet long. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Stanley has an aquarium that is 16 inches long. To make more space for his fish, he decides to add a larger aquarium section which is 35 inches long. How long will his aquarium be in total after he adds the new section?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the aquarium after adding the new section. Given information: - Stanley's current aquarium is 16 inches long. - The new aquarium section he wants to add is 35 inches long. To find the total length, we need to add the lengths of the current aquarium and the new section. Total length = Length of current aquarium + Length of new section Total length = 16 inches + 35 inches Total length = 51 inches Therefore, after adding the new section, Stanley's aquarium will be 51 inches long in total. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: Stanley has a space in his living room that is 84 inches long where he wants to place his expanded aquarium. If the current length of the aquarium with the new section is a total of 16 inches plus 35 inches, how much space is left in the living room after he places his expanded aquarium?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the expanded aquarium and then subtract it from the available space in the living room. Given information: - The space in the living room is 84 inches long. - The current length of the aquarium is 16 inches. - The length of the new section is 35 inches. Step 1: Find the total length of the expanded aquarium. Total length of the expanded aquarium = Length of the current aquarium + Length of the new section Total length of the expanded aquarium = 16 inches + 35 inches Total length of the expanded aquarium = 51 inches Step 2: Find the remaining space in the living room after placing the expanded aquarium. Remaining space = Available space in the living room - Total length of the expanded aquarium Remaining space = 84 inches - 51 inches Remaining space = 33 inches Therefore, after placing the expanded aquarium in the living room, there will be 33 inches of space left. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: Originally, Stanley's aquarium was 37 inches long instead of 16 inches. If he still adds a larger section which is 35 inches long, how long will his new aquarium be in total with this added length?
Claude-3 Sonnet:
Okay, let's recalculate with the updated information. Given information: - Stanley's original aquarium is 37 inches long. - The new aquarium section he wants to add is 35 inches long. To find the total length, we need to add the lengths of the original aquarium and the new section. Total length = Length of original aquarium + Length of new section Total length = 37 inches + 35 inches Total length = 72 inches Therefore, after adding the new 35-inch section to his original 37-inch aquarium, Stanley's new aquarium will be 72 inches long in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A construction company has laid 3 Km of a new road in a day and the next day they laid another 62 Km. How many kilometers of road did the construction company lay in total?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the road laid on the two days. Given information: - On the first day, the construction company laid 3 km of a new road. - On the second day, the construction company laid 62 km of the new road. Step 1: Find the total length of the road laid by adding the lengths laid on both days. Total length of the road laid = Length laid on the first day + Length laid on the second day Total length of the road laid = 3 km + 62 km Total length of the road laid = 65 km Therefore, the construction company laid a total of 65 km of the new road. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: After laying 3 Km of road on the first day and another 62 Km on the second day, the construction company decided to add an extra 2 Km stretch of road to the design plan the following day. How many kilometers of road in total does the company need to lay according to the new plan?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the road that the construction company needs to lay according to the new plan. Given information: - On the first day, the construction company laid 3 km of the road. - On the second day, the construction company laid 62 km of the road. - On the third day, the construction company decided to add an extra 2 km stretch of road to the design plan. Step 1: Find the total length of the road laid on the first two days. Total length of the road laid on the first two days = 3 km + 62 km = 65 km Step 2: Add the extra 2 km stretch of road to the total length from the first two days. Total length of the road according to the new plan = Total length of the road laid on the first two days + Extra stretch of road Total length of the road according to the new plan = 65 km + 2 km = 67 km Therefore, according to the new plan, the construction company needs to lay a total of 67 km of road. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Initially, the construction company had laid 2 Km of road on the first day instead of 3 Km and another 62 Km on the second day. How many kilometers of road did the company lay in total over the two days considering this change?
Claude-3 Sonnet:
Okay, let's recalculate the total length of the road laid by the construction company with the updated information. Given information: - On the first day, the construction company laid 2 km of a new road. - On the second day, the construction company laid 62 km of the new road. Step 1: Find the total length of the road laid by adding the lengths laid on both days. Total length of the road laid = Length laid on the first day + Length laid on the second day Total length of the road laid = 2 km + 62 km Total length of the road laid = 64 km Therefore, with the updated information, the construction company laid a total of 64 km of the new road over the two days. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In a construction project, 37 feet of steel rods are used for the base of the building, and an additional 21 feet of steel rods are used for the columns. How many feet of steel rods are used in total for the construction project?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of steel rods used for the base and the columns. Given information: - 37 feet of steel rods are used for the base of the building. - 21 feet of steel rods are used for the columns. To find the total length of steel rods used, we need to add the lengths used for the base and the columns. Total length of steel rods used = Length of steel rods used for the base + Length of steel rods used for the columns Total length of steel rods used = 37 feet + 21 feet Total length of steel rods used = 58 feet Therefore, 58 feet of steel rods are used in total for the construction project. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: John is building a bookshelf that is expected to be 5 feet tall. However, after assembling, he realizes that he needs 2 more feet to reach the desired height. How tall would the bookshelf be after adding 2 more feet?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the initial height of the bookshelf and the additional height required. Given information: - The expected height of the bookshelf is 5 feet. - John needs to add 2 more feet to reach the desired height. Step 1: Find the initial height of the bookshelf. Initial height = 5 feet Step 2: Find the additional height required. Additional height = 2 feet Step 3: Find the total height of the bookshelf after adding the additional height. Total height = Initial height + Additional height Total height = 5 feet + 2 feet Total height = 7 feet Therefore, after adding 2 more feet, the bookshelf would be 7 feet tall. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In addition to building the bookshelf, John also wants to install a ladder that reaches from the floor to the ceiling of the room. If the ceiling is 32 feet high, how tall does the rest of the ladder have to be after placing it on top of the already built bookshelf?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining height that the ladder needs to cover after being placed on top of the bookshelf. Given information: - The height of the bookshelf after adding 2 more feet is 7 feet. - The ceiling height is 32 feet. Step 1: Find the remaining height that the ladder needs to cover. Remaining height = Ceiling height - Height of the bookshelf Remaining height = 32 feet - 7 feet Remaining height = 25 feet Therefore, the rest of the ladder needs to be 25 feet tall after placing it on top of the already built 7-foot bookshelf to reach the ceiling at 32 feet. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Instead of the bookshelf, imagine if John initially planned to build a wardrobe that was 73 feet tall. However, after assembling, he realizes that he needs 2 more feet to reach the desired height. How tall would the wardrobe be after adding 2 more feet?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the initial height of the wardrobe and the additional height required. Given information: - The initial planned height of the wardrobe is 73 feet. - John needs to add 2 more feet to reach the desired height. Step 1: Find the initial height of the wardrobe. Initial height = 73 feet Step 2: Find the additional height required. Additional height = 2 feet Step 3: Find the total height of the wardrobe after adding the additional height. Total height = Initial height + Additional height Total height = 73 feet + 2 feet Total height = 75 feet Therefore, after adding 2 more feet, the wardrobe would be 75 feet tall. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: John was measuring the length of his backyard room with his tape measure. He measured one side to be 71 feet long. He then measured another side, which was 16 feet shorter. What is the length of the shorter side of his backyard room?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the shorter side of the backyard room. Given information: - One side of the backyard room is 71 feet long. - The other side is 16 feet shorter than the first side. Let's represent the length of the shorter side as x. Since the other side is 16 feet longer than the shorter side, we can write: x + 16 = 71 Subtracting 16 from both sides: x = 71 - 16 x = 55 Therefore, the length of the shorter side of the backyard room is 55 feet. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Suppose instead of 16 feet shorter, the second side John measured was 49 feet shorter than the first side. What then would be the length of this shorter side of his backyard room?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - One side of the backyard room is 71 feet long. - The other side is 49 feet shorter than the first side. Let's represent the length of the shorter side as x. Since the other side is 49 feet longer than the shorter side, we can write: x + 49 = 71 Subtracting 49 from both sides: x = 71 - 49 x = 22 Therefore, if the second side John measured was 49 feet shorter than the first side, then the length of the shorter side of the backyard room is 22 feet. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: A construction worker has already laid down a pipe that is 61 feet long. To finish the job, they need to add another segment of pipe that is 3 feet long. How long will the total pipe be when it is finished?
Claude-3 Sonnet:
To solve this problem, we need to add the length of the pipe that has already been laid down and the length of the additional segment of pipe that needs to be added. Given information: - The length of the pipe that has already been laid down is 61 feet. - The length of the additional segment of pipe that needs to be added is 3 feet. Step 1: Add the length of the existing pipe and the additional segment of pipe. Length of the existing pipe + Length of the additional segment of pipe = Total length of the pipe when finished 61 feet + 3 feet = 64 feet Therefore, the total length of the pipe when it is finished will be 64 feet. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the construction project, after the worker had laid down a pipe that was 61 feet long and added a 3 feet segment, another team of workers came to inspect and found that 49 feet of the pipe already laid didn't meet the safety regulations and needed to be removed. How long would the total pipe be after the faulty segment was removed?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the pipe after the faulty segment is removed. Given information: - The initial length of the pipe laid down was 61 feet. - An additional segment of 3 feet was added, making the total length 64 feet. - 49 feet of the pipe already laid down needs to be removed due to safety regulations. Step 1: Find the length of the pipe that will remain after removing the faulty segment. Total length of the pipe - Length of the faulty segment = Length of the remaining pipe 64 feet - 49 feet = 15 feet Therefore, after removing the faulty segment of 49 feet, the total length of the pipe will be 15 feet. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: During the inspection of the construction project, it was found that instead of a pipe segment of 61 feet, the workers had actually laid a segment that was 69 feet long before adding the additional 3 feet. How long would the total pipe be with this new measurement?
Claude-3 Sonnet:
Okay, let's recalculate the total length of the pipe with the new information. Given information: - The length of the pipe segment that has already been laid down is 69 feet (instead of 61 feet). - The length of the additional segment of pipe that needs to be added is 3 feet. Step 1: Add the length of the existing pipe segment and the additional segment of pipe. Length of the existing pipe segment + Length of the additional segment of pipe = Total length of the pipe when finished 69 feet + 3 feet = 72 feet Therefore, with the new measurement of the existing pipe segment being 69 feet, the total length of the pipe when it is finished will be 72 feet. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: In order to build a fence, Johnny bought two lengths of wood. One length was 16 feet, and the other was 22 feet. How many feet of wood did Johnny buy in total?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two pieces of wood that Johnny bought. Given information: - One length of wood is 16 feet. - The other length of wood is 22 feet. Step 1: Add the lengths of the two pieces of wood. Length of wood 1 + Length of wood 2 = Total length of wood bought 16 feet + 22 feet = 38 feet Therefore, Johnny bought a total of 38 feet of wood. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: After building the fence, Johnny decided to add an extension. For this, he bought another 52 feet of wood. How many feet of wood has Johnny bought in total for his fencing project?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of wood Johnny bought, including the initial purchase and the additional wood for the extension. Given information: - Initially, Johnny bought 16 feet and 22 feet of wood, which totals 38 feet. - For the extension, Johnny bought an additional 52 feet of wood. Step 1: Find the total length of wood bought by adding the initial purchase and the additional wood for the extension. Initial purchase of wood + Additional wood for the extension = Total length of wood bought 38 feet + 52 feet = 90 feet Therefore, Johnny has bought a total of 90 feet of wood for his fencing project, including the initial purchase and the additional wood for the extension. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: After reviewing his purchase, Johnny realized he actually bought 15 feet of wood instead of 16 for the first part of the fence, while the second part remained 22 feet. How many feet of wood did Johnny actually buy for the initial part of his fencing project?
Claude-3 Sonnet:
Okay, let's revisit this problem with the updated information. Given information: - One length of wood is 15 feet (previously stated as 16 feet). - The other length of wood is 22 feet (unchanged). To find the total length of wood Johnny bought, we need to add the two lengths together. Step 1: Add the lengths of the two pieces of wood. Length of wood 1 + Length of wood 2 = Total length of wood bought 15 feet + 22 feet = 37 feet Therefore, Johnny actually bought a total of 37 feet of wood for the initial part of his fencing project. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: Jack is preparing a ribbon for a gift. He originally has a ribbon that is 81 centimeters long. But after wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. How long is the remaining length of the ribbon?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original length of the ribbon and the length that was used for wrapping gifts. Given information: - The original length of the ribbon is 81 centimeters. - The remaining length of the ribbon is 56 centimeters shorter than the original length. Step 1: Find the length of the ribbon used for wrapping gifts. Length of the ribbon used for wrapping gifts = Original length - Remaining length Length of the ribbon used for wrapping gifts = 81 cm - (81 cm - 56 cm) Length of the ribbon used for wrapping gifts = 56 cm Step 2: Find the remaining length of the ribbon. Remaining length of the ribbon = Original length - Length of the ribbon used for wrapping gifts Remaining length of the ribbon = 81 cm - 56 cm Remaining length of the ribbon = 25 cm Therefore, the remaining length of the ribbon is 25 centimeters. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Jack is preparing a ribbon for a gift. He originally has a ribbon that is 81 centimeters long. But after wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. For the next round of gift wrapping, he needs twice the length of the remaining ribbon. How many centimeters of ribbon does he need for the next round of gift wrapping?
Claude-3 Sonnet:
In this problem, we need to find the length of ribbon Jack needs for the next round of gift wrapping, which is twice the length of the remaining ribbon. Given information: - The original length of the ribbon is 81 centimeters. - The remaining length of the ribbon is 56 centimeters shorter than the original length. Step 1: Find the remaining length of the ribbon. Remaining length of the ribbon = Original length - Length used for wrapping gifts Remaining length of the ribbon = 81 cm - 56 cm Remaining length of the ribbon = 25 cm Step 2: Find the length of ribbon needed for the next round of gift wrapping. Length of ribbon needed for the next round = 2 × Remaining length of the ribbon Length of ribbon needed for the next round = 2 × 25 cm Length of ribbon needed for the next round = 50 cm Therefore, Jack needs 50 centimeters of ribbon for the next round of gift wrapping. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Given the same scenario as before, suppose the original length of the ribbon Jack has is not 81 cm but 100 cm. After wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. How long is the remaining length of the ribbon under these new conditions?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The original length of the ribbon is 100 centimeters. - The remaining length of the ribbon is 56 centimeters shorter than the original length. Step 1: Find the length of the ribbon used for wrapping gifts. Length of the ribbon used for wrapping gifts = Original length - Remaining length Length of the ribbon used for wrapping gifts = 100 cm - (100 cm - 56 cm) Length of the ribbon used for wrapping gifts = 56 cm Step 2: Find the remaining length of the ribbon. Remaining length of the ribbon = Original length - Length of the ribbon used for wrapping gifts Remaining length of the ribbon = 100 cm - 56 cm Remaining length of the ribbon = 44 cm Therefore, with the original length of the ribbon being 100 centimeters, and the remaining length being 56 centimeters shorter than the original length, the remaining length of the ribbon is 44 centimeters. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: In a recent marathon, Sam noticed that the running route was 50 kilometers long. After running for the whole morning, he checked his GPS and found that he had already run 27 kilometers. How many kilometers does he still need to run to complete the marathon?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total distance of the marathon and the distance Sam has already run. Given information: - The running route of the marathon is 50 kilometers long. - Sam has already run 27 kilometers. Step 1: Find the remaining distance Sam needs to run. Remaining distance = Total distance of the marathon - Distance already run Remaining distance = 50 kilometers - 27 kilometers Remaining distance = 23 kilometers Therefore, Sam still needs to run 23 kilometers to complete the marathon. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: An architect is designing a park that includes a large loop trail. One portion of the trail is 21 meters long. If there is an additional 29 meters of trail beyond this portion, how many meters long is the trail in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the trail by adding the given portions. Given information: - One portion of the trail is 21 meters long. - There is an additional 29 meters of trail beyond this portion. Step 1: Add the lengths of the two portions. Length of the first portion + Length of the additional portion = Total length of the trail 21 meters + 29 meters = Total length of the trail Step 2: Calculate the total length of the trail. 21 meters + 29 meters = 50 meters Therefore, the trail is 50 meters long in total. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Following up on the previous situation, if the architect decides that the total desired length for the loop trail is 64 meters, how many more meters does she need to add to the current trail length to reach this goal?
Claude-3 Sonnet:
In this problem, we need to find the additional length required to make the total length of the trail 64 meters. Given: - The current length of the trail is 50 meters (from the previous problem). - The desired total length of the trail is 64 meters. To find the additional length needed, we need to subtract the current length from the desired total length. Step 1: Subtract the current length from the desired total length. Desired total length - Current length = Additional length needed 64 meters - 50 meters = Additional length needed Step 2: Calculate the additional length needed. 64 meters - 50 meters = 14 meters Therefore, the architect needs to add 14 more meters to the current trail length to reach the desired total length of 64 meters. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In light of the architect's new plans, imagine instead the initial length of the trail was 70 meters before adding the extra portion. In that case, what would the total length of the trail be if an additional 21 meters were added to this 70-meter section?
Claude-3 Sonnet:
Okay, let's solve this new problem. Given information: - The initial length of the trail was 70 meters. - An additional 21 meters were added to this 70-meter section. To find the total length of the trail, we need to add the initial length and the additional length. Step 1: Add the initial length and the additional length. Initial length + Additional length = Total length of the trail 70 meters + 21 meters = Total length of the trail Step 2: Calculate the total length of the trail. 70 meters + 21 meters = 91 meters Therefore, if the initial length of the trail was 70 meters and an additional 21 meters were added to this section, the total length of the trail would be 91 meters. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In his garden, Mr. Johnson planted rows of carrots that measure 55 meters in total length. He then decided to add an additional section to his garden for potatoes that measures 20 meters. What would be the total length of the garden after he has added the new section?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the garden after adding the new section for potatoes. Given information: - The rows of carrots in the garden measure 55 meters in total length. - Mr. Johnson wants to add an additional section for potatoes that measures 20 meters. Step 1: Find the total length of the garden after adding the new section. Total length of the garden = Length of the carrot rows + Length of the new potato section Total length of the garden = 55 meters + 20 meters Total length of the garden = 75 meters Therefore, the total length of the garden after adding the new section for potatoes would be 75 meters. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: Continuing from the previous problem, Mr. Johnson initially planted rows of carrots that measure 55 meters in total length and added an additional section for potatoes which measures 20 meters. Now, he wants to add another 16 meters section for planting tomatoes to his garden. What will be the new total length of the garden after adding the section for tomatoes?
Claude-3 Sonnet:
In this problem, we need to find the new total length of the garden after adding the section for tomatoes. Given information: - The initial length of the garden with carrot rows was 55 meters. - An additional section for potatoes measuring 20 meters was added. - Now, Mr. Johnson wants to add another section for tomatoes measuring 16 meters. Step 1: Find the total length of the garden after adding the section for potatoes. Total length of the garden after adding the potato section = Length of the carrot rows + Length of the potato section Total length of the garden after adding the potato section = 55 meters + 20 meters = 75 meters Step 2: Find the new total length of the garden after adding the section for tomatoes. New total length of the garden = Total length after adding the potato section + Length of the tomato section New total length of the garden = 75 meters + 16 meters = 91 meters Therefore, the new total length of the garden after adding the section for tomatoes will be 91 meters. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In the previous problem, Mr. Johnson had initially planted rows of carrots that were 55 meters in total length before adding other sections. But, what if initially, the rows of carrots were only 22 meters in length? If he still added the 20 meter section for the potatoes, what would then be the new total length of the garden?
Claude-3 Sonnet:
Okay, let's revisit the problem with the new information. Given information: - The initial rows of carrots in the garden measure 22 meters in total length. - Mr. Johnson added an additional section for potatoes that measures 20 meters. To find the new total length of the garden, we need to add the length of the carrot rows and the length of the new potato section. Step 1: Find the total length of the garden after adding the new section. Total length of the garden = Length of the carrot rows + Length of the new potato section Total length of the garden = 22 meters + 20 meters Total length of the garden = 42 meters Therefore, if the initial rows of carrots were 22 meters in length, and Mr. Johnson added a 20-meter section for potatoes, the new total length of the garden would be 42 meters. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: David is making a fence for his garden. He planned to make it 72 feet long but then decided it was too long. So, he shortened it by 6 feet. How many feet long is David's fence now?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the fence after it was shortened by 6 feet. Given information: - David initially planned to make the fence 72 feet long. - He decided to shorten the fence by 6 feet. Step 1: Find the length of the fence after it was shortened. Initial length of the fence - Length shortened = New length of the fence 72 feet - 6 feet = 66 feet Therefore, David's fence is now 66 feet long. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: David was thinking about his garden fence again. He originally had planned for his fence to be 72 feet long but then thought it might look better if he shortened it by 22 feet instead of 6 feet. How long would David's fence be if he reduced it by 22 feet?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the fence after it is shortened by 22 feet. Given information: - David initially planned to make the fence 72 feet long. - He decided to shorten the fence by 22 feet instead of 6 feet. Step 1: Find the length of the fence after it is shortened by 22 feet. Initial length of the fence - Length shortened = New length of the fence 72 feet - 22 feet = 50 feet Therefore, if David reduces the length of his fence by 22 feet, the new length of the fence would be 50 feet. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: For a school project, Jack had to cut a piece of cardboard in the shape of a rectangle. The cardboard he used was 7 feet long. Then, he decided to make the rectangle larger and added 41 more feet of cardboard. How many feet of cardboard did he use in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of cardboard Jack used for the project. Given information: - The initial length of the cardboard was 7 feet. - Jack added 41 more feet of cardboard to make the rectangle larger. To find the total length of cardboard used, we need to add the initial length and the additional length. Total length of cardboard = Initial length + Additional length Total length of cardboard = 7 feet + 41 feet Total length of cardboard = 48 feet Therefore, Jack used a total of 48 feet of cardboard for his school project. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Suppose that initially, Jack had started with a piece of cardboard that was 29 feet instead of 7 feet. If he still added the 41 feet of cardboard to make the rectangle larger, how long would his project be in feet?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - Jack initially had a piece of cardboard that was 29 feet long. - He added 41 more feet of cardboard to make the rectangle larger. To find the total length of the project, we need to add the initial length and the additional length. Total length of the project = Initial length + Additional length Total length of the project = 29 feet + 41 feet Total length of the project = 70 feet Therefore, if Jack started with a piece of cardboard that was 29 feet long and added 41 feet of cardboard to make the rectangle larger, his project would be 70 feet long. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: During his workout, Bob ran 45 miles on his treadmill. After having a break, he decided to run an additional 8 miles. How many miles did Bob run in total during his workout?
Claude-3 Sonnet:
To solve this problem, we need to add the number of miles Bob ran initially and the additional miles he ran after the break. Given information: - Bob ran 45 miles on his treadmill initially. - After a break, Bob ran an additional 8 miles. Step 1: Add the initial miles and the additional miles. Initial miles + Additional miles = Total miles 45 miles + 8 miles = 53 miles Therefore, Bob ran a total of 53 miles during his workout. ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: Bob initially aimed to run 61 miles during his workout. After running 45 miles on his treadmill and an additional 8 miles after his break, how many miles is Bob short of his initial goal?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between Bob's initial goal and the total miles he ran during his workout. Given information: - Bob's initial goal was to run 61 miles during his workout. - Bob ran 45 miles on his treadmill initially. - After a break, Bob ran an additional 8 miles. Step 1: Find the total miles Bob ran during his workout. Initial miles + Additional miles = Total miles 45 miles + 8 miles = 53 miles Step 2: Find the difference between Bob's initial goal and the total miles he ran. Bob's initial goal - Total miles = Miles short of the goal 61 miles - 53 miles = 8 miles Therefore, Bob is 8 miles short of his initial goal of running 61 miles during his workout. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Continuing from the last scenario, suppose Bob initially ran 58 miles on his treadmill instead of 45 miles before taking his break. After his break, if he still runs an additional 8 miles as before, how much total distance does he cover during his workout now?
Claude-3 Sonnet:
Okay, let's solve this problem step-by-step: Given information: - Initially, Bob ran 58 miles on his treadmill before taking a break. - After the break, he ran an additional 8 miles. To find the total distance covered during his workout, we need to add the initial distance and the additional distance. Step 1: Initial distance covered Initial distance = 58 miles Step 2: Additional distance covered after the break Additional distance = 8 miles Step 3: Calculate the total distance covered Total distance = Initial distance + Additional distance Total distance = 58 miles + 8 miles Total distance = 66 miles Therefore, with the updated initial distance of 58 miles and the additional 8 miles after the break, Bob covered a total distance of 66 miles during his workout. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: For her knitting project, Martha has got 7 meters of green yarn and 44 meters of blue yarn. How many meters of yarn does Martha have altogether for her knitting project?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of green yarn and blue yarn that Martha has. Given information: - Martha has 7 meters of green yarn. - Martha has 44 meters of blue yarn. Step 1: Add the lengths of green yarn and blue yarn. Length of green yarn + Length of blue yarn = Total length of yarn 7 meters + 44 meters = 51 meters Therefore, Martha has a total of 51 meters of yarn for her knitting project. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: Suppose instead of having 44 meters of blue yarn initially, Martha actually had 85 meters of blue yarn, along with the 7 meters of green yarn. How many meters of yarn would Martha have had in total for her knitting project in that case?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given information: - Martha has 7 meters of green yarn. - Martha has 85 meters of blue yarn. To find the total length of yarn, we need to add the lengths of green yarn and blue yarn. Step 1: Add the lengths of green yarn and blue yarn. Length of green yarn + Length of blue yarn = Total length of yarn 7 meters + 85 meters = 92 meters Therefore, if Martha had 85 meters of blue yarn instead of 44 meters, she would have a total of 92 meters of yarn for her knitting project. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: For a science project, John needs to measure a piece of string. Initially, he measures 50 cm of the string. Later, he realizes he needs an additional 21 cm for his experiment. What is the total length of the string that John needs in cm?
Claude-3 Sonnet:
To solve this problem, we need to add the initial length of the string and the additional length required for the experiment. Given information: - John initially measured 50 cm of the string. - John needs an additional 21 cm for his experiment. Step 1: Find the total length of the string by adding the initial length and the additional length. Total length of the string = Initial length + Additional length Total length of the string = 50 cm + 21 cm Total length of the string = 71 cm Therefore, the total length of the string that John needs for his experiment is 71 cm. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In addition to the string needed for his science project, John also needs 14 cm of string to complete his math project. What is the total length of the string that John needs for both projects in cm?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the string required for both the science project and the math project. Given information: - For the science project, John needs 71 cm of string (from the previous problem). - For the math project, John needs an additional 14 cm of string. Step 1: Find the total length of the string by adding the length required for the science project and the length required for the math project. Total length of the string = Length required for the science project + Length required for the math project Total length of the string = 71 cm + 14 cm Total length of the string = 85 cm Therefore, the total length of the string that John needs for both projects is 85 cm. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Suppose instead for his science project, John initially measures a shorter piece of string, which is only 50 cm. He later realizes he needs an additional 26 cm for his experiment. What is the new total length of the string that John needs for his science project in cm?
Claude-3 Sonnet:
To solve this problem, we need to add the initial length of the string and the additional length required for the experiment. Given information: - John initially measured 50 cm of the string. - John needs an additional 26 cm for his experiment. Step 1: Find the total length of the string by adding the initial length and the additional length. Total length of the string = Initial length + Additional length Total length of the string = 50 cm + 26 cm Total length of the string = 76 cm Therefore, the new total length of the string that John needs for his science project is 76 cm. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: A farmer has a field that measures 70 meters in length. He decides to extend the length of the field by another 30 meters to grow more crops. How long will the field be after he extends it?
Claude-3 Sonnet:
To solve this problem, we need to add the original length of the field and the additional length that the farmer wants to extend it by. Given information: - The original length of the field is 70 meters. - The farmer wants to extend the length of the field by 30 meters. Step 1: Add the original length and the additional length. Original length + Additional length = New length 70 meters + 30 meters = 100 meters Therefore, after extending the field, the new length of the field will be 100 meters. ### Answer: 100 meters
Expected answer: 100
Correct? Yes
Problem: After extending the field by 30 meters, the farmer realizes that part of the land is too rocky to grow crops. He decides to reduce the cultivated area by 29 meters. What is now the total length of the land he uses to grow crops?
Claude-3 Sonnet:
Okay, let's break this down: * Original length of the field: 70 meters * Extended length after adding 30 meters: 70 + 30 = 100 meters * Reduced length after removing 29 meters: 100 - 29 = 71 meters So, after extending the field by 30 meters and then reducing the cultivated area by 29 meters, the total length of the land the farmer uses to grow crops is 71 meters. ### Answer: 71 meters
Expected answer: 71
Correct? Yes
Problem: Assume that the farmer originally had a field that measures 70 meters in length. But instead of extending it by 30 meters as previously mentioned, he decides to extend it only by 8 meters due to budget constraints. What would be the total length of the field after this smaller extension?
Claude-3 Sonnet:
Okay, let's solve this new problem with the updated information. Given information: - The original length of the field is 70 meters. - The farmer decides to extend the length of the field by 8 meters instead of 30 meters due to budget constraints. To find the total length of the field after the extension, we need to add the original length and the additional length. Step 1: Add the original length and the additional length. Original length + Additional length = New length 70 meters + 8 meters = 78 meters Therefore, after extending the field by 8 meters, the new total length of the field will be 78 meters. ### Answer: 78 meters
Expected answer: 78
Correct? Yes
Problem: A marathon course is 64 kilometers long. If a runner collapses 5 kilometers before the finish line, how many kilometers did he complete?
Claude-3 Sonnet:
To solve this problem, we need to find the distance the runner completed before collapsing. Given information: - The marathon course is 64 kilometers long. - The runner collapsed 5 kilometers before the finish line. Step 1: Find the distance from the start to the point where the runner collapsed. Distance from the start to the point of collapse = Total distance of the marathon course - Distance remaining to the finish line Distance from the start to the point of collapse = 64 kilometers - 5 kilometers Distance from the start to the point of collapse = 59 kilometers Therefore, the runner completed 59 kilometers before collapsing. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: In the previous marathon, the runner collapsed 5 kilometers before the finish line, completing 64 - 5 kilometers of the race. Suppose, a year later, he participates in a marathon with an extended course length of 80 kilometers but collapses again 5 kilometers before the finish line. How many kilometers would he have completed this time?
Claude-3 Sonnet:
In this problem, we need to find the distance the runner completed before collapsing in the second marathon. Given information: - The length of the extended marathon course is 80 kilometers. - The runner collapsed 5 kilometers before the finish line. Step 1: Find the distance from the start to the point where the runner collapsed. Distance from the start to the point of collapse = Total distance of the marathon course - Distance remaining to the finish line Distance from the start to the point of collapse = 80 kilometers - 5 kilometers Distance from the start to the point of collapse = 75 kilometers Therefore, in the second marathon with the extended course length of 80 kilometers, the runner completed 75 kilometers before collapsing. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In a swimming competition, the swimming pool's main section measures 66 meters long. However, to meet competition standards, an additional 28 meters was added to make a bigger lap pool. What is the total length of the swimming pool after the extension?
Claude-3 Sonnet:
To solve this problem, we need to add the length of the main section of the swimming pool and the additional length added to meet competition standards. Given information: - The main section of the swimming pool measures 66 meters long. - An additional 28 meters was added to make a bigger lap pool. Step 1: Add the length of the main section and the additional length. Length of the main section + Additional length = Total length of the swimming pool after the extension 66 meters + 28 meters = 94 meters Therefore, the total length of the swimming pool after the extension is 94 meters. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Following the swimming competition session, the stadium officials decided to create a separate area for beginners. They used 91 meters from the extended swimming pool for this new area. How many meters long is the remaining area in the swimming pool after setting up the beginner's section?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the swimming pool after setting up the beginner's section. Given information: - The total length of the swimming pool after the extension was 94 meters. - The officials used 91 meters from the extended swimming pool for the beginner's section. Step 1: Subtract the length used for the beginner's section from the total length of the swimming pool. Total length of the swimming pool - Length used for the beginner's section = Remaining length of the swimming pool 94 meters - 91 meters = 3 meters Therefore, the remaining area in the swimming pool after setting up the beginner's section is 3 meters long. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: After the swimming competition, the stadium officials decided to reassess the length of the lap pool. Now, instead of adding 28 meters to the original 66 meters, they decided to add only 27 meters. What is the new total length of the lap pool after this adjustment?
Claude-3 Sonnet:
To solve this problem, we need to find the new total length of the lap pool after the adjustment. Given information: - The original length of the main section of the swimming pool was 66 meters. - Initially, an additional 28 meters was added to make a bigger lap pool. - Now, instead of adding 28 meters, they decided to add only 27 meters. Step 1: Find the new total length of the lap pool after the adjustment. Length of the main section + New additional length = New total length of the lap pool 66 meters + 27 meters = 93 meters Therefore, the new total length of the lap pool after the adjustment is 93 meters. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: A contractor measures a section of a bridge to be 78 meters long. He needs to install a safety barrier that is 1 meter shorter than the length of the section. How long does the safety barrier need to be?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the safety barrier given that it is 1 meter shorter than the length of the section of the bridge. Given information: - The length of the section of the bridge is 78 meters. - The safety barrier needs to be 1 meter shorter than the length of the section. Step 1: Subtract 1 meter from the length of the section to find the length of the safety barrier. Length of the safety barrier = Length of the section - 1 meter Length of the safety barrier = 78 meters - 1 meter Length of the safety barrier = 77 meters Therefore, the safety barrier needs to be 77 meters long. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After the contractor installed the safety barrier, he realized that he needs to further shorten it by 16 meters to properly fit in some construction equipment. How long will the safety barrier be after he shortens it again?
Claude-3 Sonnet:
Okay, let's break this down: * The original length of the safety barrier was 77 meters * The contractor needs to shorten it by 16 meters To find the new length after shortening: * Original length - Amount to shorten = New length * 77 meters - 16 meters = 61 meters Therefore, after shortening the safety barrier by 16 meters, the new length of the safety barrier will be 61 meters. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If the contractor initially measured the section of the bridge to be 40 meters instead of 78 meters, and still needed to install a safety barrier that is 1 meter shorter than the length of the section, how long would the safety barrier need to be then?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The length of the section of the bridge is 40 meters (instead of 78 meters). - The safety barrier needs to be 1 meter shorter than the length of the section. Step 1: Subtract 1 meter from the length of the section to find the length of the safety barrier. Length of the safety barrier = Length of the section - 1 meter Length of the safety barrier = 40 meters - 1 meter Length of the safety barrier = 39 meters Therefore, if the contractor initially measured the section of the bridge to be 40 meters, and still needed to install a safety barrier that is 1 meter shorter than the length of the section, the safety barrier would need to be 39 meters long. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: Sam is making a ribbon for a party. He made a first segment that is 5 feet long, then a second segment that is 51 feet long. How long is the ribbon that Sam created in total?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two segments together. Given information: - The first segment of the ribbon is 5 feet long. - The second segment of the ribbon is 51 feet long. Step 1: Add the lengths of the two segments. Length of the first segment + Length of the second segment = Total length of the ribbon 5 feet + 51 feet = 56 feet Therefore, the total length of the ribbon that Sam created is 56 feet. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In addition to the ribbon that Sam created for the party, he noticed he needs to make the total length of the ribbon 58 feet long to fit perfectly around the party area. How many more feet of ribbon does Sam need to reach this total length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired total length of the ribbon and the current length of the ribbon that Sam has created. Given information: - The desired total length of the ribbon is 58 feet. - The current length of the ribbon that Sam created is 56 feet (5 feet + 51 feet). Step 1: Find the difference between the desired total length and the current length. Desired total length - Current length = Additional length needed 58 feet - 56 feet = 2 feet Therefore, Sam needs to add 2 more feet of ribbon to reach the desired total length of 58 feet. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In the previous problem, Sam was creating ribbons for a party and initially made a ribbon of 5 feet long. However, what if Sam instead created the first segment of the ribbon 47 feet long with the addition of the second segment of 51 feet? How long is the total length of the ribbon that Sam creates under this condition?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The first segment of the ribbon is 47 feet long. - The second segment of the ribbon is 51 feet long. To find the total length of the ribbon, we need to add the lengths of the two segments. Step 1: Add the lengths of the two segments. Length of the first segment + Length of the second segment = Total length of the ribbon 47 feet + 51 feet = 98 feet Therefore, with the first segment being 47 feet long and the second segment being 51 feet long, the total length of the ribbon that Sam creates is 98 feet. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Juniper is sewing a banner that is 86 centimeters long. However, she decides to extend it by an extra 3 centimeters. After looking at the banner again, she changes her mind and reduces it by 88 centimeters. How long is the banner at the end?
Claude-3 Sonnet:
To solve this problem, we need to follow the given steps and calculate the final length of the banner. Given information: - The initial length of the banner is 86 centimeters. - Juniper decides to extend the banner by 3 centimeters. - After that, she changes her mind and reduces the banner by 88 centimeters. Step 1: Calculate the length of the banner after extending it by 3 centimeters. Initial length + Extension = New length 86 cm + 3 cm = 89 cm Step 2: Calculate the length of the banner after reducing it by 88 centimeters. New length - Reduction = Final length 89 cm - 88 cm = 1 cm Therefore, the final length of the banner is 1 centimeter. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: For the end-of-year play, the theater club is planning to decorate the hallway with colorful paper chains. If they already have 20 meters of paper chain, and they need another 74 meters to cover the entire hallway, how long will their paper chain be in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the paper chain by adding the length of the existing paper chain and the additional length required. Given information: - The theater club already has 20 meters of paper chain. - They need an additional 74 meters of paper chain to cover the entire hallway. Step 1: Find the total length of the paper chain. Total length of the paper chain = Length of the existing paper chain + Additional length required Total length of the paper chain = 20 meters + 74 meters Total length of the paper chain = 94 meters Therefore, the total length of the paper chain will be 94 meters. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: The theater club was able to successfully decorate the hallway with colorful paper chains. During the decorations, they realized that they could save 42 meters of paper chain by cleverly placing them. After making this adjustment, how long is the paper chain that the theater club actually used for the decoration?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the paper chain used for the decoration after saving 42 meters. Given information: - The total length of the paper chain before the adjustment was 94 meters. - The theater club saved 42 meters of paper chain by cleverly placing them. Step 1: Find the length of the paper chain used for the decoration after the adjustment. Length of the paper chain used for the decoration = Total length of the paper chain before the adjustment - Length of the paper chain saved Length of the paper chain used for the decoration = 94 meters - 42 meters Length of the paper chain used for the decoration = 52 meters Therefore, the length of the paper chain that the theater club actually used for the decoration is 52 meters. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A construction company is building a road. The main segment they have already built is 62 meters long. To connect this segment with a neighborhood, they need to build an additional stretch of road that is 34 meters long. How long will the road be when it is completed?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the road by adding the length of the main segment and the additional stretch. Given information: - The main segment of the road is 62 meters long. - The additional stretch of road needed to connect with the neighborhood is 34 meters long. Step 1: Add the length of the main segment and the additional stretch. Total length of the road = Length of the main segment + Length of the additional stretch Total length of the road = 62 meters + 34 meters Total length of the road = 96 meters Therefore, when the road is completed, it will be 96 meters long. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Following on from the previous problem, once the road has been completed, the company then realizes they need to tear up a part of the road equal to the length of the main segment in order to repair some underground pipes. How long will the remaining road be after they tear up the main segment?
Claude-3 Sonnet:
In this problem, we need to find the length of the remaining road after tearing up the main segment. Given information: - The total length of the completed road is 96 meters. - The length of the main segment is 62 meters. - The company needs to tear up the main segment (62 meters) to repair underground pipes. Step 1: Find the length of the remaining road by subtracting the length of the main segment from the total length of the completed road. Length of the remaining road = Total length of the completed road - Length of the main segment Length of the remaining road = 96 meters - 62 meters Length of the remaining road = 34 meters Therefore, after tearing up the main segment of the road, the remaining road will be 34 meters long. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: Following on from the earlier problem, what if initially, the main segment of the road that the construction company had built was shorter, only 62 meters long. They still needed to build an additional stretch of road that is 15 meters long in order to connect with the neighborhood. How long would the road be under these circumstances?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The main segment of the road is 62 meters long. - The additional stretch of road needed to connect with the neighborhood is 15 meters long. Step 1: Add the length of the main segment and the additional stretch. Total length of the road = Length of the main segment + Length of the additional stretch Total length of the road = 62 meters + 15 meters Total length of the road = 77 meters Therefore, if the main segment of the road was initially 62 meters long, and they needed to build an additional stretch of 15 meters to connect with the neighborhood, the total length of the road when completed would be 77 meters. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Adam drops a marble down a hole that is 12 meters deep. He then drills a further 55 meters, ending up with a much deeper hole. How deep is the hole now?
Claude-3 Sonnet:
To solve this problem, we need to find the total depth of the hole after Adam drills further. Given information: - The initial depth of the hole is 12 meters. - Adam drills a further 55 meters. Step 1: Find the total depth of the hole after drilling. Total depth of the hole = Initial depth of the hole + Additional depth drilled Total depth of the hole = 12 meters + 55 meters Total depth of the hole = 67 meters Therefore, the hole is now 67 meters deep. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Adam realizes he messed up his calculations. He needs to fill the hole back up by 3 meters to reach the desired depth. How deep is the hole after Adam fills it back up by 3 meters?
Claude-3 Sonnet:
Okay, let's break this down: * The initial depth of the hole was 12 meters * Adam drilled an additional 55 meters, making the total depth 67 meters * However, Adam realized he needed to fill the hole back up by 3 meters to reach the desired depth To find the final depth after filling it up by 3 meters, we need to subtract 3 meters from the total depth of 67 meters. Final depth = Total depth - Amount filled up Final depth = 67 meters - 3 meters Final depth = 64 meters Therefore, after Adam fills the hole back up by 3 meters, the hole is now 64 meters deep. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A garden path is 68 meters long. A gardener has already covered 36 meters of the path with gravel. How many meters are still left to be covered with gravel?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the garden path and the part that has already been covered with gravel. Given information: - The garden path is 68 meters long. - The gardener has already covered 36 meters of the path with gravel. Step 1: Find the remaining length of the path that needs to be covered with gravel. Remaining length = Total length of the path - Length already covered with gravel Remaining length = 68 meters - 36 meters Remaining length = 32 meters Therefore, the gardener still needs to cover 32 meters of the garden path with gravel. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: If the original length of the garden path was 49 meters instead of 68 meters, how many meters would have still been left to be covered with gravel after the gardener had already covered 36 meters?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The original length of the garden path is 49 meters. - The gardener has already covered 36 meters of the path with gravel. To find the remaining length that needs to be covered with gravel, we need to subtract the length already covered from the original length of the path. Remaining length = Original length of the path - Length already covered with gravel Remaining length = 49 meters - 36 meters Remaining length = 13 meters Therefore, if the original length of the garden path was 49 meters instead of 68 meters, and the gardener had already covered 36 meters, then 13 meters would still be left to be covered with gravel. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Bill has run 77 meters in a race. But the finish line is 75 meters from the start. How many meters has he run beyond the finish line?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the distance Bill has run and the distance to the finish line. Given information: - Bill has run 77 meters in the race. - The finish line is 75 meters from the start. Step 1: Find the difference between the distance Bill has run and the distance to the finish line. Distance Bill has run - Distance to the finish line = Distance beyond the finish line 77 meters - 75 meters = 2 meters Therefore, Bill has run 2 meters beyond the finish line. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Originally, the race that Bill ran was 77 meters long. But what if the race was shortened by 14 meters from the original length? How long would the race be then?
Claude-3 Sonnet:
Okay, let's think through this step-by-step: Given: - The original race length was 77 meters. - The race was shortened by 14 meters. To find the new race length, we need to subtract the amount it was shortened by from the original length. Step 1: Subtract the amount the race was shortened by from the original length. Original length - Amount shortened = New length 77 meters - 14 meters = 63 meters Therefore, if the original 77-meter race was shortened by 14 meters, the new race length would be 63 meters. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Brett's house is 49 feet away from his neighbor's. If Brett's neighbor lives 19 feet away from the local park, how many feet away is Brett's house from the local park?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance between Brett's house and the local park by adding the distance between Brett's house and his neighbor's house, and the distance between his neighbor's house and the local park. Given information: - Brett's house is 49 feet away from his neighbor's house. - Brett's neighbor's house is 19 feet away from the local park. Step 1: Find the total distance between Brett's house and the local park. Total distance = Distance between Brett's house and his neighbor's house + Distance between his neighbor's house and the local park Total distance = 49 feet + 19 feet Total distance = 68 feet Therefore, Brett's house is 68 feet away from the local park. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: Continuing from the previous scenario, what if we consider a different avenue from Brett's house to the local park which is 75 feet long instead of 49 feet. How many feet is Brett's house from the local park using this different route?
Claude-3 Sonnet:
Okay, let's consider the new information: - The distance between Brett's house and his neighbor's house is now 75 feet (instead of 49 feet). - The distance between Brett's neighbor's house and the local park is still 19 feet. To find the total distance between Brett's house and the local park using this different route, we need to add the new distance between Brett's house and his neighbor's house, and the distance between his neighbor's house and the local park. Total distance = Distance between Brett's house and his neighbor's house + Distance between his neighbor's house and the local park Total distance = 75 feet + 19 feet Total distance = 94 feet Therefore, using this different route that is 75 feet long from Brett's house to his neighbor's house, Brett's house is 94 feet away from the local park. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Bob initially planned to cut a piece of rope that was 14 meters long. If he decided to only cut 7 meters of rope, how many meters of rope are left uncut?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial length of the rope and the length of the rope that was cut. Given information: - The initial length of the rope was 14 meters. - Bob cut 7 meters of the rope. Step 1: Find the length of the rope that is left uncut. Length of the rope left uncut = Initial length of the rope - Length of the rope cut Length of the rope left uncut = 14 meters - 7 meters Length of the rope left uncut = 7 meters Therefore, 7 meters of rope are left uncut. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: After Bob finished cutting the 7 meters of rope, he noticed that he had another long rope that was 72 meters long. How many meters of rope does Bob have in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the length of the uncut rope from the previous problem and the length of the new rope. Given information: - The length of the uncut rope from the previous problem is 7 meters. - Bob has another rope that is 72 meters long. Step 1: Find the total length of rope Bob has now. Total length of rope = Length of the uncut rope + Length of the new rope Total length of rope = 7 meters + 72 meters Total length of rope = 79 meters Therefore, Bob has a total of 79 meters of rope now. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: After completing his tasks, Bob remembered that he originally had an 11 meter rope, not a 14 meter one before he cut the 7 meters. If he cut 7 meters from the 11 meter rope, how many meters of rope does he now have?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The initial length of the rope was 11 meters. - Bob cut 7 meters of the rope. Step 1: Find the length of the rope that is left uncut. Length of the rope left uncut = Initial length of the rope - Length of the rope cut Length of the rope left uncut = 11 meters - 7 meters Length of the rope left uncut = 4 meters Therefore, after cutting 7 meters from the initial 11-meter rope, Bob now has 4 meters of rope left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Adam is designing a new playground that will be 37 meters long. However, he decides to add an additional 55 meters to the design to include a running track around the playground. What will be the total length of the playground including the running track?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the playground including the running track. Given information: - The initial length of the playground is 37 meters. - Adam decides to add an additional 55 meters for the running track. To find the total length, we need to add the initial length of the playground and the additional length for the running track. Total length = Initial length of the playground + Additional length for the running track Total length = 37 meters + 55 meters Total length = 92 meters Therefore, the total length of the playground including the running track will be 92 meters. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: Adam originally plans to make the playground 37 meters long and enlarge it by 55 meters. But what if he decides to add only 54 meters to the initial 37-meter design instead? What will be the total length of the playground in that case?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given: - The initial length of the playground is 37 meters. - Adam decides to add an additional 54 meters (instead of 55 meters) for the running track. To find the total length, we need to add the initial length of the playground and the additional length for the running track. Total length = Initial length of the playground + Additional length for the running track Total length = 37 meters + 54 meters Total length = 91 meters Therefore, if Adam adds only 54 meters to the initial 37-meter design, the total length of the playground including the running track will be 91 meters. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: Simon swam 41 meters towards the shore from his boat. If he then continued to run another 42 meters on the beach to reach his beach house, what is the total distance Simon covered from his boat to his beach house?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance covered by Simon from his boat to his beach house. Given information: - Simon swam 41 meters towards the shore from his boat. - Simon then ran another 42 meters on the beach to reach his beach house. To find the total distance, we need to add the distance he swam and the distance he ran. Total distance = Distance swam + Distance ran Total distance = 41 meters + 42 meters Total distance = 83 meters Therefore, the total distance Simon covered from his boat to his beach house is 83 meters. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: Continuing from the previous scenarios, now imagine that instead of swimming 41 meters towards the shore from his boat, Simon initially swam 39 meters. If he then continued to run the same 42 meters on the beach, what would be the total distance he covered from his boat to his beach house now?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Simon swam 39 meters towards the shore from his boat. - Simon then ran 42 meters on the beach to reach his beach house. To find the total distance, we need to add the distance he swam and the distance he ran. Total distance = Distance swam + Distance ran Total distance = 39 meters + 42 meters Total distance = 81 meters Therefore, with Simon initially swimming 39 meters towards the shore from his boat and then running 42 meters on the beach, the total distance he covered from his boat to his beach house is 81 meters. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Toby is building a fence for his garden. The main part of the fence is 10 meters long, and the gate he wants to add on is 35 meters long. Later, he decides to add another 3 meters to the fence. How long is the fence in total if he includes the gate and the additional length?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the main part of the fence, the gate, and the additional length. Given information: - The main part of the fence is 10 meters long. - The gate is 35 meters long. - Toby wants to add another 3 meters to the fence. Step 1: Add the length of the main part of the fence and the gate. Length of the main part of the fence + Length of the gate = 10 meters + 35 meters = 45 meters Step 2: Add the additional length to the result from Step 1. Length of the fence (including the gate) + Additional length = 45 meters + 3 meters = 48 meters Therefore, the total length of the fence, including the gate and the additional length, is 48 meters. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: After constructing the garden fence and the gate, Toby realizes that he needs to extend it to enclose his tool shed as well. This addition will make the fence 14 meters longer. What will be the total length of the fence after adding this extra length?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence after adding the extra length for enclosing the tool shed. Given information: - The initial length of the fence, including the gate and the additional 3 meters, was 48 meters. - The extra length needed to enclose the tool shed is 14 meters. Step 1: Add the extra length to the initial length of the fence. Initial length of the fence + Extra length for the tool shed = Total length of the fence 48 meters + 14 meters = 62 meters Therefore, the total length of the fence after adding the extra length to enclose the tool shed will be 62 meters. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: After some altering in his plans, Toby decided to make the main fence a bit longer initially by adding 41 meters instead of 35 to the initial 10 meters. Then he still adds the 3 meters to the fence as he had planned earlier. How long is the fence in total now, including the gate and the additional length?
Claude-3 Sonnet:
To solve this problem, we need to find the new length of the main part of the fence, including the gate, and then add the additional length. Given information: - The initial length of the main part of the fence is 10 meters. - Toby decided to add 41 meters instead of 35 meters to the initial length. - Toby still wants to add another 3 meters to the fence. Step 1: Find the new length of the main part of the fence, including the gate. Initial length of the main part of the fence + Additional length for the gate = 10 meters + 41 meters = 51 meters Step 2: Add the additional length to the result from Step 1. Length of the fence (including the gate) + Additional length = 51 meters + 3 meters = 54 meters Therefore, the total length of the fence, including the gate and the additional length, is 54 meters. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. After using it a few times, he decided to shorten the rope by 17 feet to better suit his needs. How long is the rope now?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the rope after it was shortened. Given information: - Johnathon bought a 33-foot long rope. - He shortened the rope by 17 feet. Step 1: Find the length of the rope after it was shortened. Original length of the rope - Length shortened = New length of the rope 33 feet - 17 feet = 16 feet Therefore, the rope is now 16 feet long. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. After using it a few times, he decided to shorten the rope by 17 feet to better suit his needs. Later, he realized he needed a longer rope to reach the top of a taller tree in the backyard. Therefore, he got another piece of rope that was 41 feet long and attached it to the existing one. How long is the rope now in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the rope after attaching the new piece of rope. Given information: - Johnathon initially had a 33-foot long rope. - He shortened the rope by 17 feet, making it 16 feet long. - He got another piece of rope that was 41 feet long and attached it to the existing rope. Step 1: Find the length of the rope after attaching the new piece. Length of the existing rope + Length of the new rope = Total length of the rope 16 feet + 41 feet = 57 feet Therefore, the total length of the rope now is 57 feet. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Recalling the previous question, Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. However, imagine instead that he had shortened the rope not by 17 feet, but only by 13 feet to better suit his needs. How long would the rope be in this case?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - Johnathon bought a 33-foot long rope. - He shortened the rope by 13 feet. Step 1: Find the length of the rope after it was shortened. Original length of the rope - Length shortened = New length of the rope 33 feet - 13 feet = 20 feet Therefore, if Johnathon shortened the rope by 13 feet instead of 17 feet, the rope would now be 20 feet long. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Robin has a ribbon that is 34 inches long. She decides to cut 13 inches off the ribbon to create a bow for her friend. Later, she buys another ribbon that is 50 inches long. How long are both of Robin's ribbons together?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the remaining ribbon after cutting off 13 inches, and then add it to the length of the new ribbon Robin bought. Given information: - Robin's initial ribbon length is 34 inches. - Robin cuts off 13 inches from the initial ribbon to create a bow. - Robin buys another ribbon that is 50 inches long. Step 1: Find the length of the remaining ribbon after cutting off 13 inches. Length of the remaining ribbon = Initial ribbon length - Length cut off Length of the remaining ribbon = 34 inches - 13 inches Length of the remaining ribbon = 21 inches Step 2: Find the total length of both ribbons together. Total length of both ribbons = Length of the remaining ribbon + Length of the new ribbon Total length of both ribbons = 21 inches + 50 inches Total length of both ribbons = 71 inches Therefore, the total length of both of Robin's ribbons together is 71 inches. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: Suppose that instead of a 34-inch ribbon, Robin initially had a 24-inch ribbon from which she cut off 13 inches for her friend's bow. How many inches of ribbon would she have in total if she still bought the extra 50-inch ribbon?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Robin's initial ribbon length is 24 inches. - Robin cuts off 13 inches from the initial ribbon to create a bow. - Robin buys another ribbon that is 50 inches long. Step 1: Find the length of the remaining ribbon after cutting off 13 inches. Length of the remaining ribbon = Initial ribbon length - Length cut off Length of the remaining ribbon = 24 inches - 13 inches Length of the remaining ribbon = 11 inches Step 2: Find the total length of both ribbons together. Total length of both ribbons = Length of the remaining ribbon + Length of the new ribbon Total length of both ribbons = 11 inches + 50 inches Total length of both ribbons = 61 inches Therefore, if Robin initially had a 24-inch ribbon from which she cut off 13 inches for her friend's bow, and she still bought the extra 50-inch ribbon, she would have a total of 61 inches of ribbon. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: Johnny has a 100 meter long rope. He uses 24 meters of it to build a swing in his backyard. How many meters of the rope are left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the rope and the length used for the swing. Given information: - Johnny has a 100-meter-long rope. - He used 24 meters of the rope to build a swing. Step 1: Find the length of the rope left after building the swing. Length of the rope left = Total length of the rope - Length of rope used for the swing Length of the rope left = 100 meters - 24 meters Length of the rope left = 76 meters Therefore, 76 meters of the rope are left after building the swing. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: After Johnny made his swing with 24 meters of his 100 meter long rope, he then decided to use an additional 41 meters of the leftover rope to make a climbing rope for his tree house. How many meters of the original rope are left now?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the rope after using it for the swing and the climbing rope. Given information: - Johnny had a 100-meter-long rope initially. - He used 24 meters of the rope to build a swing. - He then used an additional 41 meters of the remaining rope to make a climbing rope for his tree house. Step 1: Find the length of the rope left after building the swing. Length of the rope left after building the swing = Total length of the rope - Length of rope used for the swing Length of the rope left after building the swing = 100 meters - 24 meters = 76 meters Step 2: Find the length of the rope left after making the climbing rope. Length of the rope left after making the climbing rope = Length of the rope left after building the swing - Length of rope used for the climbing rope Length of the rope left after making the climbing rope = 76 meters - 41 meters = 35 meters Therefore, 35 meters of the original 100-meter-long rope are left after making the swing and the climbing rope. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: Suppose initially, Johnny only had a 55 meter long rope instead of the 100 meter rope. If he still uses 24 meters of rope to build the swing, how many meters of rope would be left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial length of the rope and the length used for the swing. Given information: - Initially, Johnny had a 55-meter-long rope. - He used 24 meters of the rope to build a swing. Step 1: Find the length of the rope left after building the swing. Length of the rope left = Initial length of the rope - Length of rope used for the swing Length of the rope left = 55 meters - 24 meters Length of the rope left = 31 meters Therefore, 31 meters of the rope would be left after building the swing. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: In a warehouse, there are initially 38 boxes of toys staged for distribution. Later in the day, an additional 3 boxes were added to the staging area. How many boxes of toys are now staged in the warehouse?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of boxes of toys in the warehouse after adding the additional boxes. Given information: - Initially, there were 38 boxes of toys staged for distribution. - Later in the day, 3 additional boxes were added to the staging area. To find the total number of boxes, we need to add the initial number of boxes and the additional boxes. Total number of boxes = Initial number of boxes + Additional boxes Total number of boxes = 38 + 3 Total number of boxes = 41 Therefore, there are now 41 boxes of toys staged in the warehouse. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: In the warehouse, after the 3 new boxes of toys were added to the 38 original ones, additional 8 boxes showed up unexpectedly from another shipment. How many boxes of toys are now present altogether in the warehouse?
Claude-3 Sonnet:
Okay, let's break this down: * Initially, there were 38 boxes of toys * Then, 3 more boxes were added * After that, another 8 boxes showed up unexpectedly To find the total number of boxes now present, we need to add all these numbers together: * Initial boxes: 38 * Boxes added later: 3 * Unexpected boxes: 8 Total boxes = 38 + 3 + 8 = 49 Therefore, there are now 49 boxes of toys present altogether in the warehouse. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Originally, the warehouse had 9 boxes of toys staged for distribution, rather than 38. If they still added 3 more boxes to the staging area as before, how many boxes of toys are now staged in the warehouse?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Originally, there were 9 boxes of toys staged for distribution. - Later in the day, 3 additional boxes were added to the staging area. To find the total number of boxes, we need to add the original number of boxes and the additional boxes. Total number of boxes = Original number of boxes + Additional boxes Total number of boxes = 9 + 3 Total number of boxes = 12 Therefore, there are now 12 boxes of toys staged in the warehouse. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John began constructing a train track for his model railroad. He started with 1 foot of track and then added another 25 feet. However, he found that his trains were not running smoothly, so he added another section measuring 38 feet. How many feet did John add to the track in total?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the additional lengths of track that John added. Given information: - John started with 1 foot of track. - He added another 25 feet of track. - He added another 38 feet of track. Step 1: Find the total length of track added after the initial 1 foot. Total length of track added = Length of second addition + Length of third addition Total length of track added = 25 feet + 38 feet Total length of track added = 63 feet Therefore, John added a total of 63 feet of track to the initial 1 foot of track. ### Answer: 63
Expected answer: 64
Correct? No
Problem: A landscaper is designing a new park. He decided to make the park 75 meters long, but in the middle, he wants to have a 25 meters long garden. How long will be the park area that is not covered by the garden?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the park area that is not covered by the garden. Given information: - The park is 75 meters long. - The garden in the middle of the park is 25 meters long. Step 1: Find the total length of the park area that is not covered by the garden. Total length of the park area not covered by the garden = Total length of the park - Length of the garden Total length of the park area not covered by the garden = 75 meters - 25 meters Total length of the park area not covered by the garden = 50 meters Therefore, the park area that is not covered by the garden will be 50 meters long. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Fred wants to run a 100-meter race. After 30 meters, he begins to feel tired and slows down. If he has already run 70 meters, how many meters does he still have to run to finish the race?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining distance Fred needs to run to complete the 100-meter race. Given information: - The total distance of the race is 100 meters. - Fred has already run 70 meters. Step 1: Find the remaining distance Fred needs to run. Remaining distance = Total distance - Distance already run Remaining distance = 100 meters - 70 meters Remaining distance = 30 meters Therefore, Fred still needs to run 30 meters to finish the 100-meter race. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In the previous situation, Fred stops after running 73 meters instead of 70 meters because of fatigue. Now, how many meters would Fred still have to run to finish the race?
Claude-3 Sonnet:
Okay, let's revisit the problem with the updated information. Given information: - The total distance of the race is 100 meters. - Fred has already run 73 meters before stopping due to fatigue. To find the remaining distance Fred needs to run, we need to subtract the distance he has already run from the total distance of the race. Step 1: Find the remaining distance Fred needs to run. Remaining distance = Total distance - Distance already run Remaining distance = 100 meters - 73 meters Remaining distance = 27 meters Therefore, with Fred stopping after running 73 meters due to fatigue, he still needs to run 27 meters to finish the 100-meter race. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: A toy car is 5 inches long. When a part of the toy was broken, it lost 2 inches of its length. How many inches long is the toy car now after it was broken?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the toy car after the broken part was removed. Given information: - The initial length of the toy car is 5 inches. - The toy car lost 2 inches of its length due to the broken part. To find the remaining length, we need to subtract the lost length from the initial length. Remaining length = Initial length - Lost length Remaining length = 5 inches - 2 inches Remaining length = 3 inches Therefore, the toy car is now 3 inches long after the broken part was removed. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Following up on the previous situation, Joe found another toy car that was initially 8 inches long. However, this toy car was also broken, and it lost a length equal to what the first toy car had left after it was broken. How many inches long is this second toy car now after it was broken?
Claude-3 Sonnet:
In this problem, we need to find the length of the second toy car after it was broken. Given information: - The initial length of the second toy car is 8 inches. - The second toy car lost a length equal to the remaining length of the first toy car after it was broken, which is 3 inches. To find the remaining length of the second toy car, we need to subtract the lost length from the initial length. Remaining length of the second toy car = Initial length - Lost length Remaining length of the second toy car = 8 inches - 3 inches Remaining length of the second toy car = 5 inches Therefore, the second toy car is now 5 inches long after it was broken. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Following up on the previous situation, Joe found another toy car that was initially 37 inches long. However, this toy car also lost 2 inches just like the first car. How many inches long is this third toy car now after it was broken?
Claude-3 Sonnet:
In this problem, we need to find the remaining length of the second toy car after it lost 2 inches due to a broken part. Given information: - The initial length of the second toy car is 37 inches. - The second toy car lost 2 inches of its length due to the broken part, just like the first car. To find the remaining length, we need to subtract the lost length from the initial length, similar to the previous problem. Remaining length = Initial length - Lost length Remaining length = 37 inches - 2 inches Remaining length = 35 inches Therefore, the second toy car is now 35 inches long after the broken part was removed. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A contractor is building a path and has 19 feet of concrete walkway laid down already. If he pours another 64 feet of concrete, how long will the path be in total?
Claude-3 Sonnet:
To solve this problem, we need to add the length of the concrete walkway already laid down and the additional length of concrete that will be poured. Given information: - The contractor has already laid down 19 feet of concrete walkway. - The contractor will pour an additional 64 feet of concrete. Step 1: Find the total length of the path by adding the existing length and the additional length. Total length of the path = Existing length + Additional length Total length of the path = 19 feet + 64 feet Total length of the path = 83 feet Therefore, after pouring an additional 64 feet of concrete, the total length of the path will be 83 feet. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: After the contractor finishes pouring the concrete to extend the pathway, he realizes he needs to shorten it by 22 feet to align with the garden border. How long would the pathway be after this adjustment?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the pathway after the contractor shortens it by 22 feet. Given information: - The initial length of the pathway after pouring the additional concrete was 83 feet. - The contractor needs to shorten the pathway by 22 feet. Step 1: Find the length of the pathway after shortening it by 22 feet. Length of the pathway after shortening = Initial length - Length to be shortened Length of the pathway after shortening = 83 feet - 22 feet Length of the pathway after shortening = 61 feet Therefore, after shortening the pathway by 22 feet to align with the garden border, the length of the pathway will be 61 feet. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: After the adjustment, the contractor was asked to add 10 more feet of concrete to the pathway instead of the initial 64 feet that was poured. How long would the pathway be with this new adjustment?
Claude-3 Sonnet:
Okay, let's update the information based on the new adjustment. Given information: - The contractor had already laid down 19 feet of concrete walkway. - Instead of pouring an additional 64 feet of concrete, the contractor will now pour an additional 10 feet of concrete. Step 1: Find the total length of the path by adding the existing length and the new additional length. Total length of the path = Existing length + New additional length Total length of the path = 19 feet + 10 feet Total length of the path = 29 feet Therefore, with the new adjustment of adding 10 more feet of concrete instead of the initial 64 feet, the total length of the path will be 29 feet. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Tom has a roll of ribbon that measures 93 inches. He uses 47 inches of it to wrap a gift. How many inches of ribbon does Tom have left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the ribbon and the length used to wrap the gift. Given information: - Tom has a roll of ribbon that measures 93 inches. - Tom used 47 inches of the ribbon to wrap a gift. Step 1: Find the length of the ribbon remaining. Length of the ribbon remaining = Total length of the ribbon - Length of ribbon used Length of the ribbon remaining = 93 inches - 47 inches Length of the ribbon remaining = 46 inches Therefore, Tom has 46 inches of ribbon left after wrapping the gift. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Tom uses another 16 inches of the remaining ribbon to make a bow for another gift. How many inches of the ribbon does Tom have left now?
Claude-3 Sonnet:
Okay, let's continue with the problem. Given information: - Tom initially had a roll of ribbon that measured 93 inches. - He used 47 inches to wrap a gift, leaving him with 46 inches of ribbon. - Tom then used another 16 inches of the remaining ribbon to make a bow for another gift. To find the remaining length of the ribbon, we need to subtract the length used for the bow from the remaining length after wrapping the first gift. Remaining length of ribbon after wrapping the first gift = 46 inches Length of ribbon used for the bow = 16 inches Remaining length of ribbon = Remaining length after wrapping the first gift - Length used for the bow Remaining length of ribbon = 46 inches - 16 inches Remaining length of ribbon = 30 inches Therefore, Tom has 30 inches of ribbon left after using 16 inches to make a bow for another gift. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Mike decided to build a fence around his property. He started off with a length of 82 feet of fencing material. Later, he bought another 2 feet at the hardware store. Finally, he borrowed an additional 10 feet of fencing material from his neighbor. What is the total length of the fencing material Mike had for his project?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of fencing material Mike had from different sources. Given information: - Mike started with 82 feet of fencing material. - He bought an additional 2 feet at the hardware store. - He borrowed 10 feet of fencing material from his neighbor. Step 1: Add the length of fencing material Mike started with and the additional length he bought. Initial length + Additional length bought = 82 feet + 2 feet = 84 feet Step 2: Add the length of fencing material borrowed from the neighbor to the result from Step 1. Length from Step 1 + Length borrowed from neighbor = 84 feet + 10 feet = 94 feet Therefore, the total length of fencing material Mike had for his project is 94 feet. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After building the fence, Mike realizes that he needs to section off a part of his yard for a vegetable garden. He uses up all the original fencing he had (82 feet + 2 feet) for the main fence. How much fencing does he use for the vegetable garden if he ends up using all the fencing material he had in total, including the 10 feet he borrowed from his neighbor?
Claude-3 Sonnet:
To solve this problem, we need to find the length of fencing material Mike used for the main fence and then subtract it from the total length of fencing material he had to find the length of fencing material used for the vegetable garden. Given information: - Mike started with 82 feet of fencing material. - He bought an additional 2 feet at the hardware store. - He borrowed 10 feet of fencing material from his neighbor. - He used up all the original fencing material (82 feet + 2 feet) for the main fence. Step 1: Find the total length of fencing material Mike had. Total length = Initial length + Additional length bought + Length borrowed from neighbor Total length = 82 feet + 2 feet + 10 feet = 94 feet Step 2: Find the length of fencing material used for the main fence. Length used for the main fence = Initial length + Additional length bought Length used for the main fence = 82 feet + 2 feet = 84 feet Step 3: Find the length of fencing material used for the vegetable garden. Length used for the vegetable garden = Total length - Length used for the main fence Length used for the vegetable garden = 94 feet - 84 feet = 10 feet Therefore, Mike used 10 feet of fencing material for the vegetable garden. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Using the fencing for his property as a guide, Mike decided to build a smaller fence for his dog's play area. He started with 82 feet of fencing again, but this time, he added an extra 2 feet at the start. After checking the area, he decides he needs to add an extra 12 feet, instead of the 10 feet from the previous setup. How many feet of fencing will Mike need in total for the dog play area?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of fencing material Mike needs for the dog play area. Given information: - Mike started with 82 feet of fencing material. - He added an extra 2 feet at the start. - He decided to add an extra 12 feet instead of the previous 10 feet. Step 1: Calculate the initial length of fencing material after adding the extra 2 feet. Initial length + Extra length at the start = 82 feet + 2 feet = 84 feet Step 2: Add the extra length Mike decided to add for the dog play area. Length from Step 1 + Extra length for the dog play area = 84 feet + 12 feet = 96 feet Therefore, Mike will need a total of 96 feet of fencing material for the dog play area. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Henry needs to build a fence around his backyard. One part of the fence is already 46 feet long. If he adds another section that is 23 feet long, how long will the entire fence be?
Claude-3 Sonnet:
To solve this problem, we need to add the length of the existing fence and the length of the new section. Given information: - The existing fence is 46 feet long. - The new section of the fence is 23 feet long. Step 1: Add the length of the existing fence and the new section. Length of the existing fence + Length of the new section = Total length of the fence 46 feet + 23 feet = 69 feet Therefore, the entire fence will be 69 feet long after adding the new section. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: After building the fence, Henry realized that it was too long for his backyard. So, he decided to remove a section of the fence that is 24 feet long. How long is the fence now after removing that section?
Claude-3 Sonnet:
To solve this problem, we need to subtract the length of the section that Henry removed from the original length of the fence. Given information: - The original length of the fence was 69 feet. - Henry removed a section of the fence that is 24 feet long. Step 1: Subtract the length of the removed section from the original length of the fence. Original length of the fence - Length of the removed section = New length of the fence 69 feet - 24 feet = 45 feet Therefore, after removing the 24-foot section, the fence is now 45 feet long. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Henry reevaluated his backyard and thought he had made a mistake with his initial measurements. Instead of adding a 23 feet long section to the 46 feet long part of the fence, he should have added a 22 feet long section. If he adjusts his fence according to this new measurement, how long will the entire fence be?
Claude-3 Sonnet:
Okay, let's recalculate the total length of the fence with the updated measurements. Given information: - The existing fence is 46 feet long. - The new section of the fence is 22 feet long (instead of 23 feet). Step 1: Add the length of the existing fence and the new section. Length of the existing fence + Length of the new section = Total length of the fence 46 feet + 22 feet = 68 feet Therefore, with the adjusted measurement of the new section being 22 feet long, the entire fence will be 68 feet long. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: A construction worker is tasked with laying sections of pipe for a new plumbing line. The first part of the project requires him to lay 98 feet of pipe, but then he realizes he overestimated and removes 58 feet. Now, he needs to lay an additional 52 feet to complete the line. How long, in feet, will the plumbing line be when it's completed?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the pipe after adding and removing the given lengths. Given information: - The construction worker initially laid 98 feet of pipe. - He then removed 58 feet of pipe. - He needs to lay an additional 52 feet of pipe to complete the line. Step 1: Find the length of the pipe after removing 58 feet. Initial length - Length removed = Remaining length 98 feet - 58 feet = 40 feet Step 2: Find the total length of the pipe after adding the additional 52 feet. Remaining length + Additional length = Total length 40 feet + 52 feet = 92 feet Therefore, the plumbing line will be 92 feet long when it's completed. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: In the original scenario, the construction worker thought he needed to lay 98 feet of pipe. He then realized he overestimated and removed 58 feet. However, on revisiting the project plan, it turns out that instead of the initial additional 52 feet, he only needs to add 33 feet to the remaining pipe to complete it. How long, in feet, will the plumbing line be given this new requirement?
Claude-3 Sonnet:
Okay, let's revisit the problem with the new information. Given information: - The construction worker initially laid 98 feet of pipe. - He then removed 58 feet of pipe. - Instead of adding 52 feet, he now needs to add only 33 feet to complete the line. Step 1: Find the length of the pipe after removing 58 feet. Initial length - Length removed = Remaining length 98 feet - 58 feet = 40 feet Step 2: Find the total length of the pipe after adding the new additional length of 33 feet. Remaining length + Additional length = Total length 40 feet + 33 feet = 73 feet Therefore, with the new requirement, the plumbing line will be 73 feet long when it's completed. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: Bob's house is 94 km from the city. However, there is a shortcut that cuts the distance by 46 km. After taking the shortcut, Bob realizes that he still needs to drive an extra 37 km to reach his destination. What is the total distance Bob has to cover to reach his destination now?
Claude-3 Sonnet:
To solve this problem, we need to find the distance Bob has to travel after taking the shortcut, and then add it to the distance he has already traveled using the shortcut. Given information: - Bob's house is 94 km from the city. - The shortcut cuts the distance by 46 km. - After taking the shortcut, Bob still needs to drive an extra 37 km to reach his destination. Step 1: Find the distance Bob has traveled using the shortcut. Distance from the city to Bob's house - Distance cut by the shortcut = Distance traveled using the shortcut 94 km - 46 km = 48 km Step 2: Find the total distance Bob has to cover to reach his destination. Distance traveled using the shortcut + Extra distance to be covered after the shortcut = Total distance to be covered 48 km + 37 km = 85 km Therefore, the total distance Bob has to cover to reach his destination is 85 km. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Instead of 94 km, suppose Bob's house was originally only 70 km from the city. However, there is the same shortcut that cuts the distance by 46 km. After taking the shortcut, Bob still needs to drive an extra 37 km to reach his destination. What is the total distance Bob has to cover to reach his destination now?
Claude-3 Sonnet:
To solve this problem, we need to find the distance Bob has to travel after taking the shortcut, and then add it to the distance he has already traveled using the shortcut. Given information: - Bob's house is 70 km from the city. - The shortcut cuts the distance by 46 km. - After taking the shortcut, Bob still needs to drive an extra 37 km to reach his destination. Step 1: Find the distance Bob has traveled using the shortcut. Distance from the city to Bob's house - Distance cut by the shortcut = Distance traveled using the shortcut 70 km - 46 km = 24 km Step 2: Find the total distance Bob has to cover to reach his destination. Distance traveled using the shortcut + Extra distance to be covered after the shortcut = Total distance to be covered 24 km + 37 km = 61 km Therefore, the total distance Bob has to cover to reach his destination is 61 km. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: A builder has ordered 78 meters of metal beam for his construction project. If he already used 60 meters, how many meters of the beam are left to be utilized?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the metal beam ordered and the length of the beam already used. Given information: - The builder ordered 78 meters of metal beam. - The builder has already used 60 meters of the beam. Step 1: Find the length of the beam left to be utilized. Length of the beam left = Total length of the beam ordered - Length of the beam already used Length of the beam left = 78 meters - 60 meters Length of the beam left = 18 meters Therefore, 18 meters of the metal beam are left to be utilized. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: To strengthen the structure of the building, the builder decided he needed to double the length of the remaining beam. How many meters of the beam does he need now?
Claude-3 Sonnet:
Okay, let's break this down: * The builder originally ordered 78 meters of metal beam * He has already used 60 meters * So the remaining length is 78 - 60 = 18 meters * Now he wants to double the length of the remaining beam To find the new required length: * Double the remaining length: 18 x 2 = 36 meters Therefore, the builder needs 36 meters of additional metal beam to double the length of the remaining beam. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: If the builder initially ordered 78 meters of metal beam but used 42 meters instead of 60 meters for the construction project, how many meters of the beam would be left now?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the metal beam ordered and the length of the beam already used. Given information: - The builder ordered 78 meters of metal beam. - The builder has already used 42 meters of the beam. Step 1: Find the length of the beam left to be utilized. Length of the beam left = Total length of the beam ordered - Length of the beam already used Length of the beam left = 78 meters - 42 meters Length of the beam left = 36 meters Therefore, 36 meters of the metal beam are left to be utilized. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: A construction worker needs 32 feet of rebar to build a part of a building. After revising the design, he realizes that he needs to add 3 more feet of rebar. How many feet of rebar does he need in total after the revision?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of rebar required after the revision. Given information: - Initially, the construction worker needed 32 feet of rebar. - After revising the design, he needs to add 3 more feet of rebar. Step 1: Find the additional length of rebar required after the revision. Additional length of rebar = 3 feet Step 2: Find the total length of rebar required after the revision. Total length of rebar required = Initial length of rebar + Additional length of rebar Total length of rebar required = 32 feet + 3 feet Total length of rebar required = 35 feet Therefore, the construction worker needs a total of 35 feet of rebar after the revision. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: After the construction worker figures out how much rebar he needs for one part of the building, he is assigned to build another portion that is identical to the first. How many feet of rebar does he need in total for both parts of the building?
Claude-3 Sonnet:
In this problem, we need to find the total length of rebar required for both parts of the building. Given information: - The construction worker needs 35 feet of rebar for one part of the building. - The second part of the building is identical to the first part. Since both parts are identical, the length of rebar required for the second part will be the same as the first part. Step 1: Find the length of rebar required for the second part of the building. Length of rebar required for the second part = 35 feet (since it is identical to the first part) Step 2: Find the total length of rebar required for both parts of the building. Total length of rebar required = Length of rebar for the first part + Length of rebar for the second part Total length of rebar required = 35 feet + 35 feet Total length of rebar required = 70 feet Therefore, the construction worker needs a total of 70 feet of rebar for both parts of the building. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Now consider a different scenario: the construction worker initially needs 72 feet of rebar to build a part of the building. After revising the design, he realizes that he still needs to add 3 more feet of rebar. How many feet of rebar does he now need in total after this revision?
Claude-3 Sonnet:
In this scenario, the initial length of rebar required is 72 feet, and after revising the design, the construction worker needs to add 3 more feet of rebar. Given information: - Initial length of rebar required = 72 feet - Additional length of rebar required after the revision = 3 feet To find the total length of rebar required after the revision, we need to add the initial length and the additional length. Step 1: Find the total length of rebar required after the revision. Total length of rebar required = Initial length of rebar + Additional length of rebar Total length of rebar required = 72 feet + 3 feet Total length of rebar required = 75 feet Therefore, the construction worker needs a total of 75 feet of rebar after revising the design. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: John is building a fence around his garden. He has 75 meters of fencing already, but realizes he needs 3 more meters. How many meters of fencing does John need altogether to build his garden fence?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of fencing required by adding the length of fencing John already has and the additional length he needs. Given information: - John has 75 meters of fencing already. - John needs 3 more meters of fencing. Step 1: Find the total length of fencing required. Total length of fencing required = Length of fencing John already has + Additional length of fencing needed Total length of fencing required = 75 meters + 3 meters Total length of fencing required = 78 meters Therefore, John needs 78 meters of fencing altogether to build his garden fence. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: John initially thought he needed 75 meters of fencing for his garden, but when he measured again, he realized he only needed 16 meters. However, he still needed an extra 3 meters of fencing for the gate. How many meters of fencing does John need in total considering the new measurements?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of fencing required based on the new measurements and the additional length needed for the gate. Given information: - John initially thought he needed 75 meters of fencing, but after remeasuring, he realized he only needed 16 meters. - John needs an additional 3 meters of fencing for the gate. Step 1: Find the total length of fencing required. Total length of fencing required = Length of fencing needed for the garden + Additional length of fencing needed for the gate Total length of fencing required = 16 meters + 3 meters Total length of fencing required = 19 meters Therefore, considering the new measurements, John needs a total of 19 meters of fencing for his garden and the gate. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Tom has 15 meters of rope. He then buys another 70 meters of rope. The next day, he adds another 2 meters of rope to what he already has. How many meters of rope does Tom have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of rope Tom has after adding the new lengths to his initial amount. Given information: - Tom initially has 15 meters of rope. - He buys another 70 meters of rope. - The next day, he adds another 2 meters of rope. Step 1: Find the total length of rope after buying the additional 70 meters. Initial length + Additional length = Total length after buying 15 meters + 70 meters = 85 meters Step 2: Find the total length of rope after adding the additional 2 meters. Total length after buying + Additional length = Total length 85 meters + 2 meters = 87 meters Therefore, Tom has a total of 87 meters of rope. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: Continuing from the previous problem, Tom decided to use 58 meters of the rope he had collected to make a fence for his garden. After using it, how many meters of rope does he have left?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of rope after Tom used 58 meters for making a fence. Given information: - Tom initially had a total of 87 meters of rope. - He used 58 meters of rope to make a fence for his garden. Step 1: Find the remaining length of rope after using 58 meters. Total length of rope - Length of rope used = Remaining length of rope 87 meters - 58 meters = 29 meters Therefore, after using 58 meters of rope to make a fence for his garden, Tom has 29 meters of rope left. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Let's reconsider Tom's situation. Suppose that instead of buying an additional 70 meters of rope, Tom initially bought 40 meters of rope. Including the extra 2 meters of rope he added the next day, how many meters of rope does Tom have now?
Claude-3 Sonnet:
Okay, let's reconsider the problem with the new information. Given information: - Tom initially has 15 meters of rope. - He buys 40 meters of rope (instead of 70 meters). - The next day, he adds another 2 meters of rope. Step 1: Find the total length of rope after buying the additional 40 meters. Initial length + Additional length = Total length after buying 15 meters + 40 meters = 55 meters Step 2: Find the total length of rope after adding the additional 2 meters. Total length after buying + Additional length = Total length 55 meters + 2 meters = 57 meters Therefore, with the new information, Tom has a total of 57 meters of rope. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Liam is building a fence around his yard. He has already used 29 meters of fencing but needs to reduce it by 22 meters. After reducing, he discovers he needs an additional 71 meters of fencing to complete the job. How many meters of fencing will Liam need in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of fencing required after reducing the initial length by 22 meters and then adding the additional 71 meters needed. Given information: - Liam has already used 29 meters of fencing. - He needs to reduce it by 22 meters. - After reducing, he needs an additional 71 meters of fencing to complete the job. Step 1: Find the length of fencing after reducing by 22 meters. Initial length - Reduction = Length after reduction 29 meters - 22 meters = 7 meters Step 2: Find the total length of fencing required by adding the additional 71 meters. Length after reduction + Additional length required = Total length required 7 meters + 71 meters = 78 meters Therefore, Liam will need a total of 78 meters of fencing to complete the job. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: After building the fence, Liam decided to build a small shed in his yard too. For that, he had to reduce the total length of the fence by 26 meters to create space. How many meters of fencing does Liam have now after the reduction for the shed?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of fencing after reducing the total length by 26 meters to create space for the shed. Given information: - Liam initially needed a total of 78 meters of fencing for the fence. - He reduced the total length of the fence by 26 meters to create space for the shed. Step 1: Find the remaining length of fencing after reducing by 26 meters. Total length of fencing - Reduction for shed = Remaining length of fencing 78 meters - 26 meters = 52 meters Therefore, after reducing the total length of the fence by 26 meters to create space for the shed, Liam has 52 meters of fencing remaining. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: In the original plan for his yard, Liam had intended to use only 28 meters of fencing, along with the adjusted amount from the reduction of the initial 29 meters by 22 meters. How many meters of fencing would Liam have needed if he had followed his original plan?
Claude-3 Sonnet:
To solve this problem, we need to find the length of fencing after reducing the initial 29 meters by 22 meters, and then add the original planned length of 28 meters. Given information: - Liam had initially used 29 meters of fencing. - He needed to reduce it by 22 meters. - In the original plan, he intended to use 28 meters of fencing. Step 1: Find the length of fencing after reducing by 22 meters. Initial length - Reduction = Length after reduction 29 meters - 22 meters = 7 meters Step 2: Find the total length of fencing required by adding the original planned length of 28 meters. Length after reduction + Original planned length = Total length required 7 meters + 28 meters = 35 meters Therefore, if Liam had followed his original plan, he would have needed a total of 35 meters of fencing. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A truck driver has to travel 45 miles to get to his first delivery location. After that delivery, he has to travel another 45 miles to get to his second delivery location. How many miles does the truck driver travel in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance traveled by the truck driver. Given information: - The truck driver has to travel 45 miles to get to the first delivery location. - After the first delivery, the truck driver has to travel another 45 miles to get to the second delivery location. Step 1: Find the distance traveled to the first delivery location. Distance traveled to the first delivery location = 45 miles Step 2: Find the distance traveled from the first delivery location to the second delivery location. Distance traveled from the first delivery location to the second delivery location = 45 miles Step 3: Find the total distance traveled by adding the distances from steps 1 and 2. Total distance traveled = Distance traveled to the first delivery location + Distance traveled from the first delivery location to the second delivery location Total distance traveled = 45 miles + 45 miles Total distance traveled = 90 miles Therefore, the truck driver travels a total of 90 miles. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: John is competing in a triathlon. The swimming portion is 59 minutes long, but he finishes it 37 minutes. Then he starts the bike portion which is 58 minutes long, but he wants to finish it even faster than he did the swimming portion. How long does John have to finish the bike portion to achieve his goal?
Claude-3 Sonnet:
To solve this problem, we need to find the time John took to finish the swimming portion and compare it with the duration of the bike portion. Given information: - The swimming portion is 59 minutes long. - John finished the swimming portion in 37 minutes. - The bike portion is 58 minutes long. - John wants to finish the bike portion faster than he did the swimming portion. Step 1: Find the time John took to finish the swimming portion. Time taken to finish the swimming portion = 37 minutes Step 2: Compare the time taken to finish the swimming portion with the duration of the bike portion. Time taken to finish the swimming portion (37 minutes) < Duration of the bike portion (58 minutes) Therefore, John needs to finish the bike portion in less than 37 minutes to achieve his goal of finishing it faster than the swimming portion. ### Answer: 36 minutes
Expected answer: 36
Correct? Yes
Problem: After completing the cycling portion of the triathlon, John now moves on to the running portion. As per his training regimen, he aims to complete the running portion in 21 minutes more than the time he took to finish the cycling leg. How many minutes will he have planned to complete the running portion?
Claude-3 Sonnet:
To solve this problem, we need to find the time John took to complete the cycling portion and then add 21 minutes to it to determine the planned time for the running portion. Given information: - John completed the cycling portion in 36 minutes (from the previous question). - John aims to complete the running portion in 21 minutes more than the time he took to finish the cycling leg. Step 1: Find the time John took to complete the cycling portion. Time taken to complete the cycling portion = 36 minutes Step 2: Calculate the planned time for the running portion by adding 21 minutes to the time taken for the cycling portion. Planned time for the running portion = Time taken for the cycling portion + 21 minutes Planned time for the running portion = 36 minutes + 21 minutes Planned time for the running portion = 57 minutes Therefore, John has planned to complete the running portion in 57 minutes, which is 21 minutes more than the time he took to finish the cycling leg. ### Answer: 57 minutes
Expected answer: 57
Correct? Yes
Problem: Let's reconsider John's bicycle portion of the race. If instead of originally planning for the bicycle portion to last 58 minutes, John had only allotted 50 minutes, how quickly would he need to finish the biking portion to maintain his goal of cycling faster than his swimming time?
Claude-3 Sonnet:
In this revised scenario, we need to find the time John needs to finish the bike portion to be faster than his swimming time, given that the bike portion is now planned to last 50 minutes. Given information: - John finished the swimming portion in 37 minutes. - The bike portion is now planned to last 50 minutes. - John wants to finish the bike portion faster than his swimming time of 37 minutes. To achieve his goal, John needs to finish the bike portion in less than 37 minutes. Since the bike portion is planned to last 50 minutes, the maximum time John can take to finish the bike portion and still be faster than his swimming time is 36 minutes. Therefore, John needs to finish the bike portion in 36 minutes or less to maintain his goal of cycling faster than his swimming time. ### Answer: 36 minutes
Expected answer: 28
Correct? No
Problem: During a school trip, Dan walked for 26 meters to visit a museum. After that, he walked an additional 65 meters to get to a park. How many total meters did Dan walk during his school trip?
Claude-3 Sonnet:
To solve this problem, we need to add the distances Dan walked to visit the museum and the park. Given information: - Dan walked 26 meters to visit a museum. - Dan walked an additional 65 meters to get to a park. Step 1: Add the distances Dan walked. Distance walked to visit the museum + Distance walked to get to the park = Total distance walked 26 meters + 65 meters = 91 meters Therefore, Dan walked a total of 91 meters during his school trip. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After visiting the museum and the park during his school trip, Dan decided to explore a little more and walked an additional 9 meters to reach a nearby souvenir shop. How many total meters did Dan walk during his whole trip?
Claude-3 Sonnet:
Okay, let's solve this step-by-step: Given information: - Dan walked 26 meters to visit a museum. - Dan walked an additional 65 meters to get to a park. - Dan walked an additional 9 meters to reach a nearby souvenir shop. Step 1: Calculate the total distance Dan walked before reaching the souvenir shop. Distance walked to visit the museum + Distance walked to get to the park = Total distance walked before reaching the souvenir shop 26 meters + 65 meters = 91 meters Step 2: Calculate the total distance Dan walked during his whole trip. Total distance walked before reaching the souvenir shop + Distance walked to reach the souvenir shop = Total distance walked during the whole trip 91 meters + 9 meters = 100 meters Therefore, Dan walked a total of 100 meters during his whole trip. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: In the previous problem, Dan walked for 26 meters to visit the museum, and an additional 65 meters to get to a park. However, suppose the park was only 15 meters away from the museum instead of 65 meters. In that case, how many total meters would Dan have needed to walk to get from the museum to the park?
Claude-3 Sonnet:
In this case, we need to find the distance between the museum and the park, which is given as 15 meters. Given information: - Dan walked 26 meters to visit the museum. - The park was 15 meters away from the museum. To get from the museum to the park, Dan would only need to walk the distance between the museum and the park, which is 15 meters. Therefore, the total distance Dan would need to walk to get from the museum to the park is 15 meters. ### Answer: 15
Expected answer: 41
Correct? No
Problem: Maria has a ribbon that is 43 cm long. She joins it with another ribbon that is 12 cm long. How long is the ribbon after Maria joins them together?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two ribbons together. Given information: - Maria has a ribbon that is 43 cm long. - Maria joins it with another ribbon that is 12 cm long. Step 1: Add the lengths of the two ribbons. Length of the first ribbon + Length of the second ribbon = Total length of the joined ribbon 43 cm + 12 cm = 55 cm Therefore, after joining the two ribbons together, the total length of the ribbon is 55 cm. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: After making the ribbon from the previous question, Maria realizes that she needs a longer ribbon for her project. So, she adds another piece of ribbon that is 32 cm long. How long is the ribbon now after Maria adds the third piece?
Claude-3 Sonnet:
In this problem, we need to find the total length of the ribbon after Maria adds a third piece of ribbon to the existing combined ribbon. Given: - The initial combined ribbon length was 55 cm (from the previous question). - Maria adds another piece of ribbon that is 32 cm long. To find the new total length, we need to add the length of the third piece to the existing combined ribbon length. Step 1: Add the length of the third piece to the existing combined ribbon length. Existing combined ribbon length + Length of the third piece = New total length 55 cm + 32 cm = 87 cm Therefore, after adding the third piece of ribbon that is 32 cm long, the new total length of the ribbon is 87 cm. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: Suppose in the previous scenario, Maria only had a 7 cm long ribbon to start with instead of 43 cm. If she adds it to another ribbon that is 12 cm long, how long would the ribbon be then?
Claude-3 Sonnet:
Okay, let's solve this new scenario. Given information: - Maria has a ribbon that is 7 cm long. - Maria joins it with another ribbon that is 12 cm long. To find the total length of the ribbon after joining them together, we need to add the lengths of the two ribbons. Step 1: Add the lengths of the two ribbons. Length of Maria's ribbon + Length of the other ribbon = Total length of the joined ribbon 7 cm + 12 cm = 19 cm Therefore, after joining the 7 cm ribbon with the 12 cm ribbon, the total length of the ribbon is 19 cm. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: The length of a park is 58 meters. To make the park bigger, the city council decided to add another 8 meters to its length. What will be the new length of the park?
Claude-3 Sonnet:
To solve this problem, we need to add the additional length to the original length of the park. Given information: - The original length of the park is 58 meters. - The city council decided to add 8 meters to the length of the park. Step 1: Add the additional length to the original length. Original length + Additional length = New length 58 meters + 8 meters = 66 meters Therefore, the new length of the park after adding 8 meters will be 66 meters. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: After extending the length of the park to 58 + 8 meters, the city council realizes that it will exceed the allowed land use if they use the entire length. The council needs to reduce the length by 41 meters to comply with the land use rules. What will be the final length of the park after it is reduced?
Claude-3 Sonnet:
Okay, let's break this down: * The original length of the park was 58 meters * The city council added 8 meters, making the new length 58 + 8 = 66 meters * However, they need to reduce the length by 41 meters to comply with land use rules To find the final length after the reduction, we take the new length (66 meters) and subtract 41 meters: 66 meters - 41 meters = 25 meters Therefore, the final length of the park after being reduced by 41 meters will be 25 meters. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: To follow up on the park scenario, let's consider a different park. Initially, this park is 43 meters long. The city council decided to add another 8 meters to its length, similar to what they had planned earlier. What will be the new length of this park after the extension?
Claude-3 Sonnet:
To solve this problem, we need to follow the same steps as before, but with the new initial length of the park. Given information: - The initial length of the park is 43 meters. - The city council decided to add 8 meters to the length of the park. Step 1: Add the additional length to the initial length. Initial length + Additional length = New length 43 meters + 8 meters = 51 meters Therefore, the new length of this park after adding 8 meters will be 51 meters. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: The height of a bamboo plant in Jack's garden is 41 inches. He decided to prune it and reduced its height by 10 inches. What is the new height of the bamboo plant after pruning?
Claude-3 Sonnet:
To solve this problem, we need to subtract the amount of height reduced from the original height of the bamboo plant. Given information: - The original height of the bamboo plant is 41 inches. - Jack reduced the height of the bamboo plant by 10 inches. Step 1: Subtract the amount of height reduced from the original height. Original height - Height reduced = New height 41 inches - 10 inches = 31 inches Therefore, the new height of the bamboo plant after pruning is 31 inches. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Originally, Jack’s bamboo plant was 41 inches tall. However, Jack realized that his bamboo plant would fit better in his garden if it was 29 inches shorter. How tall would the bamboo plant be after this additional pruning?
Claude-3 Sonnet:
To solve this problem, we need to find the new height of the bamboo plant after the additional pruning. Given information: - The original height of the bamboo plant is 41 inches. - Jack wants to make the bamboo plant 29 inches shorter. Step 1: Subtract the desired height reduction from the original height. Original height - Height reduction = New height 41 inches - 29 inches = 12 inches Therefore, after the additional pruning, the bamboo plant will be 12 inches tall. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Alice ran a total of 93 miles this past month to prepare for the upcoming marathon race. However, she knows that 78 of these miles were run on a paved road. How many miles did Alice run not on a paved road in the past month?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total miles Alice ran and the miles she ran on a paved road. Given information: - Alice ran a total of 93 miles in the past month. - Alice ran 78 miles on a paved road. Step 1: Find the miles Alice ran not on a paved road. Miles ran not on a paved road = Total miles ran - Miles ran on a paved road Miles ran not on a paved road = 93 miles - 78 miles Miles ran not on a paved road = 15 miles Therefore, Alice ran 15 miles not on a paved road in the past month. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Continuing from the previous scenario, if Alice aims to maintain at least 60 miles of running on non-paved roads for her training, how many more miles does she still need to run on non-paved roads to reach her aim for this month?
Claude-3 Sonnet:
In the previous problem, we found that Alice ran 15 miles not on a paved road in the past month. Given information: - Alice ran 15 miles not on a paved road in the past month. - Alice aims to maintain at least 60 miles of running on non-paved roads for her training. To find how many more miles Alice needs to run on non-paved roads to reach her aim, we need to subtract the miles she has already run on non-paved roads from her target of 60 miles. Step 1: Find the remaining miles Alice needs to run on non-paved roads. Remaining miles to run on non-paved roads = Target miles on non-paved roads - Miles already run on non-paved roads Remaining miles to run on non-paved roads = 60 miles - 15 miles Remaining miles to run on non-paved roads = 45 miles Therefore, Alice needs to run 45 more miles on non-paved roads to reach her aim of 60 miles for this month. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the previous scenario, instead of 78 miles, let's say Alice only ran 52 miles on a paved road. Given this adjustment, how many miles did Alice now run not on a paved road in the past month?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Alice ran a total of 93 miles in the past month. - Alice ran 52 miles on a paved road. Step 1: Find the miles Alice ran not on a paved road. Miles ran not on a paved road = Total miles ran - Miles ran on a paved road Miles ran not on a paved road = 93 miles - 52 miles Miles ran not on a paved road = 41 miles Therefore, with the adjustment that Alice ran 52 miles on a paved road, she ran 41 miles not on a paved road in the past month. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: Tom is making a wooden table. The table needs to be 68 inches long, but Tom mistakenly cut the first piece so it is only 55 inches long. How many more inches does Tom need to add to the table to reach the desired length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired length of the table and the length of the piece Tom cut. Given information: - The desired length of the table is 68 inches. - The length of the piece Tom cut is 55 inches. Step 1: Find the difference between the desired length and the length of the piece Tom cut. Desired length - Length of the piece Tom cut = Additional length needed 68 inches - 55 inches = 13 inches Therefore, Tom needs to add 13 more inches to the table to reach the desired length of 68 inches. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: After making the table and adding the decorative strip, Tom realizes that he miscalculated the original desired length of the table. Instead of being 68 inches, the table should have been 71 inches long. Given that he first cut the wood to be 55 inches, by how many inches did he originally cut the wood short of the new desired length?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the new desired length of the table and the length of the piece Tom initially cut. Given information: - The new desired length of the table is 71 inches. - The length of the piece Tom initially cut is 55 inches. Step 1: Find the difference between the new desired length and the length of the piece Tom cut. New desired length - Length of the piece Tom cut = Additional length needed 71 inches - 55 inches = 16 inches Therefore, Tom originally cut the wood 16 inches short of the new desired length of 71 inches. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Mary has a long strip of decorative paper that is 92 cm long. She cuts off a piece that is 14 cm long to make a bookmark. How long is the remaining piece of paper?
Claude-3 Sonnet:
To solve this problem, we need to subtract the length of the piece cut off from the original length of the paper strip. Given information: - The original length of the paper strip is 92 cm. - Mary cuts off a piece that is 14 cm long to make a bookmark. Step 1: Subtract the length of the piece cut off from the original length of the paper strip. Length of the remaining piece of paper = Original length of the paper strip - Length of the piece cut off Length of the remaining piece of paper = 92 cm - 14 cm Length of the remaining piece of paper = 78 cm Therefore, the remaining piece of paper is 78 cm long. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: After cutting off the piece for a bookmark, Mary decides she needs to add another strip of paper to her leftover length. If she adds a strip that is 7 cm long, what will be the new total length of her paper?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the remaining piece of paper after cutting off the bookmark, and then add the length of the new strip to it. Given information: - The remaining piece of paper after cutting off the bookmark is 78 cm long. - Mary adds a new strip of paper that is 7 cm long. Step 1: Find the new total length of the paper by adding the length of the remaining piece and the length of the new strip. New total length of the paper = Length of the remaining piece + Length of the new strip New total length of the paper = 78 cm + 7 cm New total length of the paper = 85 cm Therefore, after adding the new strip of paper that is 7 cm long, the new total length of Mary's paper will be 85 cm. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In another project, Mary has a 29 cm long strip of decorative paper. If she cuts off the same length for a bookmark as she did last time (14 cm), how long is the remaining piece of paper now?
Claude-3 Sonnet:
In this problem, we need to find the length of the remaining piece of paper after Mary cuts off a 14 cm piece for a bookmark from a 29 cm long strip of decorative paper. Given: - The original length of the paper strip is 29 cm. - Mary cuts off a piece that is 14 cm long for a bookmark. To find the length of the remaining piece of paper, we need to subtract the length of the piece cut off from the original length of the paper strip. Length of the remaining piece of paper = Original length of the paper strip - Length of the piece cut off Length of the remaining piece of paper = 29 cm - 14 cm Length of the remaining piece of paper = 15 cm Therefore, the remaining piece of paper is 15 cm long. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Peter is building a wooden bench for his garden. He has already cut a wooden plank of 45 inches and another one of 18 inches. What is the total length of the two wooden planks he has cut?
Claude-3 Sonnet:
To solve this problem, we need to add the lengths of the two wooden planks that Peter has cut. Given information: - Peter has cut a wooden plank of 45 inches. - Peter has cut another wooden plank of 18 inches. Step 1: Add the lengths of the two wooden planks. Length of the first plank + Length of the second plank = Total length of the two planks 45 inches + 18 inches = 63 inches Therefore, the total length of the two wooden planks that Peter has cut is 63 inches. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: After building the bench, Peter realizes he needs an additional 11 inches of wood to add a backrest to the bench. What is the total length of the wood he needs to build the bench and the backrest?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of wood required for building the bench and the backrest. Given information: - Peter has already cut two wooden planks with a total length of 63 inches. - Peter needs an additional 11 inches of wood to add a backrest to the bench. Step 1: Find the total length of wood required for building the bench and the backrest. Total length of wood required = Total length of the two planks + Additional length required for the backrest Total length of wood required = 63 inches + 11 inches Total length of wood required = 74 inches Therefore, the total length of wood Peter needs to build the bench and the backrest is 74 inches. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: If Peter had initially cut a wooden plank of 21 inches instead of 45 inches and another one of 18 inches, what would be the total length of the two wooden planks he cut?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - Peter cut a wooden plank of 21 inches. - Peter cut another wooden plank of 18 inches. To find the total length of the two wooden planks, we need to add their lengths. Step 1: Add the lengths of the two wooden planks. Length of the first plank + Length of the second plank = Total length of the two planks 21 inches + 18 inches = 39 inches Therefore, if Peter had initially cut a wooden plank of 21 inches instead of 45 inches and another one of 18 inches, the total length of the two wooden planks he cut would be 39 inches. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: Tim is knitting a scarf that should measure 57 inches when complete. If he has already knit 23 inches, how many more inches does he need to knit to finish the scarf?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired length of the scarf and the length that Tim has already knit. Given information: - The desired length of the scarf is 57 inches. - Tim has already knit 23 inches. Step 1: Find the remaining length that Tim needs to knit. Remaining length = Desired length - Length already knit Remaining length = 57 inches - 23 inches Remaining length = 34 inches Therefore, Tim needs to knit 34 more inches to finish the scarf. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: After correcting his mistake, Tim continued working on the scarf and has now knit 56 inches. How many more inches does he need to knit to finish the scarf, given that the total length should be 57 inches?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired length of the scarf and the length that Tim has already knit. Given information: - The desired length of the scarf is 57 inches. - Tim has already knit 56 inches. Step 1: Find the remaining length that Tim needs to knit. Remaining length = Desired length - Length already knit Remaining length = 57 inches - 56 inches Remaining length = 1 inch Therefore, Tim needs to knit 1 more inch to finish the scarf. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Alex decided to build a 98 meter long walking path in his backyard. He has already built 52 meters of the path. How many more meters does Alex need to build to complete the path?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the path and the length of the path that Alex has already built. Given information: - The total length of the walking path is 98 meters. - Alex has already built 52 meters of the path. Step 1: Find the remaining length of the path that needs to be built. Remaining length = Total length - Length already built Remaining length = 98 meters - 52 meters Remaining length = 46 meters Therefore, Alex needs to build 46 more meters to complete the walking path. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: After expanding his walking path, Alex was considering reducing his original walking path from 98 meters to a length of 13 meters less than before. If he does it, how long would the walking path be?
Claude-3 Sonnet:
To solve this problem, we need to find the new length of the walking path after reducing it by 13 meters. Given information: - The original length of the walking path was 98 meters. - Alex wants to reduce the length of the walking path by 13 meters. Step 1: Find the new length of the walking path after reducing it by 13 meters. New length = Original length - Reduction in length New length = 98 meters - 13 meters New length = 85 meters Therefore, if Alex reduces the original walking path from 98 meters to a length of 13 meters less, the new length of the walking path would be 85 meters. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A construction project initially intended to build a road with a length of 58 kilometers. However, to protect a wildlife preserve, plans were adjusted and 32 kilometers of the proposed length are no longer being constructed. What is the revised length of the road?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial length of the road and the length that is no longer being constructed. Given information: - The initial length of the road was 58 kilometers. - 32 kilometers of the proposed length are no longer being constructed. Step 1: Subtract the length that is no longer being constructed from the initial length. Revised length of the road = Initial length - Length no longer being constructed Revised length of the road = 58 kilometers - 32 kilometers Revised length of the road = 26 kilometers Therefore, the revised length of the road is 26 kilometers. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: What if the original plan for the road length was still 58 kilometers, but this time, in response to resident requests, only 12 kilometers were removed from the construction? What would be the revised length of the road under this new plan?
Claude-3 Sonnet:
Okay, let's solve this new problem with the updated information. Given information: - The original plan for the road length was 58 kilometers. - In response to resident requests, 12 kilometers were removed from the construction. To find the revised length of the road, we need to subtract the length that was removed from the original length. Step 1: Subtract the length removed from the original length. Revised length of the road = Original length - Length removed Revised length of the road = 58 kilometers - 12 kilometers Revised length of the road = 46 kilometers Therefore, with 12 kilometers removed from the original plan of 58 kilometers, the revised length of the road under this new plan would be 46 kilometers. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: A tailor is making a costume for a theater play. He uses 15 meters of fabric to make the trousers and 80 more meters to make the coat. How many meters of fabric did the tailor use in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of fabric used by the tailor for making the trousers and the coat. Given information: - The tailor used 15 meters of fabric to make the trousers. - The tailor used 80 more meters of fabric to make the coat. Step 1: Find the amount of fabric used for the coat. Amount of fabric used for the coat = 80 meters Step 2: Find the total amount of fabric used for both the trousers and the coat. Total amount of fabric used = Amount of fabric used for the trousers + Amount of fabric used for the coat Total amount of fabric used = 15 meters + 80 meters Total amount of fabric used = 95 meters Therefore, the tailor used a total of 95 meters of fabric to make the costume for the theater play. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: After the tailor finished making the costume, he realized that he needed to shorten some parts of the coat. He ended up removing 71 meters of fabric from it. How many meters of fabric remained in the finished costumes?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of fabric used for the costume after removing 71 meters from the coat. Given information: - The tailor initially used 15 meters of fabric for the trousers and 80 meters of fabric for the coat, making a total of 95 meters. - The tailor removed 71 meters of fabric from the coat. Step 1: Find the amount of fabric used for the coat after removing 71 meters. Amount of fabric used for the coat after removing 71 meters = 80 meters - 71 meters = 9 meters Step 2: Find the total amount of fabric remaining in the finished costumes. Total amount of fabric remaining = Amount of fabric used for the trousers + Amount of fabric used for the coat after removing 71 meters Total amount of fabric remaining = 15 meters + 9 meters Total amount of fabric remaining = 24 meters Therefore, after removing 71 meters of fabric from the coat, 24 meters of fabric remained in the finished costumes. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: George is building a fence around his yard. He has already installed 17 meters of the fence and he still has 77 meters to go before completion. How many meters of fence in total will George install around his yard?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence that George needs to install around his yard. Given information: - George has already installed 17 meters of the fence. - George still has 77 meters to go before completion. To find the total length of the fence, we need to add the length of the fence already installed and the remaining length to be installed. Total length of the fence = Length of fence already installed + Remaining length to be installed Total length of the fence = 17 meters + 77 meters Total length of the fence = 94 meters Therefore, George will install a total of 94 meters of fence around his yard. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: George is building a fence around his yard. He has already installed 17 meters of the fence and he still has 77 meters to go before the completion. After a couple of days, he realizes that he wants to reduce the length of the fence by 31 meters. How many meters of fence will he end up with after the reduction?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the fence that George needs to install around his yard, and then subtract the length he wants to reduce. Given information: - George has already installed 17 meters of the fence. - George still has 77 meters to go before completion. - George wants to reduce the length of the fence by 31 meters. Step 1: Find the total length of the fence before the reduction. Total length of the fence before reduction = Length of fence already installed + Remaining length to be installed Total length of the fence before reduction = 17 meters + 77 meters Total length of the fence before reduction = 94 meters Step 2: Subtract the length George wants to reduce from the total length of the fence. Length of the fence after reduction = Total length of the fence before reduction - Length to be reduced Length of the fence after reduction = 94 meters - 31 meters Length of the fence after reduction = 63 meters Therefore, George will end up with 63 meters of fence after the reduction. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Considering the same scenario where George is building a fence around his yard, suppose initially he had installed 17 meters the fence but decided to add only 19 meters more instead of the previous 77 meters. How many meters of fence would he have installed in total then?
Claude-3 Sonnet:
Okay, let's consider the new scenario: Given information: - George had initially installed 17 meters of the fence. - Instead of adding 77 meters more, he decided to add only 19 meters more. To find the total length of the fence installed, we need to add the initial length and the additional length. Total length of the fence = Initial length installed + Additional length installed Total length of the fence = 17 meters + 19 meters Total length of the fence = 36 meters Therefore, if George decided to add only 19 meters more instead of 77 meters, he would have installed a total of 36 meters of fence around his yard. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Sarah is making a scarf that she wants to be 77 inches long. If she has already knit 14 inches, how much more does she need to knit to finish her scarf?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the desired length of the scarf and the length that Sarah has already knit. Given information: - Sarah wants the scarf to be 77 inches long. - Sarah has already knit 14 inches of the scarf. Step 1: Find the remaining length Sarah needs to knit. Remaining length = Desired length - Length already knit Remaining length = 77 inches - 14 inches Remaining length = 63 inches Therefore, Sarah needs to knit 63 more inches to finish her scarf. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Sarah has a knitting goal to make a scarf that's 77 inches long. She has already knit 14 inches of it. Once she finishes her scarf, she realizes that she also wants to knit a matching hat. If the hat requires an additional 5 inches of yarn, how many inches of yarn will Sarah need in total for her scarf and hat?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of yarn required for both the scarf and the hat. Given information: - Sarah wants the scarf to be 77 inches long. - Sarah has already knit 14 inches of the scarf. - The hat requires an additional 5 inches of yarn. Step 1: Find the remaining length Sarah needs to knit for the scarf. Remaining length for the scarf = Desired length of the scarf - Length already knit Remaining length for the scarf = 77 inches - 14 inches Remaining length for the scarf = 63 inches Step 2: Find the total length of yarn required for the scarf and the hat. Total length of yarn required = Remaining length for the scarf + Length required for the hat Total length of yarn required = 63 inches + 5 inches Total length of yarn required = 68 inches Therefore, Sarah will need a total of 68 inches of yarn to complete her scarf and knit the matching hat. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: Sarah originally planned to make her scarf 52 inches long instead of 77 inches, but she has already knit 14 inches. How much more does she need to knit to finish the scarf in light of this new desired total length?
Claude-3 Sonnet:
Okay, let's look at the new information: * Sarah originally planned to make the scarf 52 inches long * She has already knit 14 inches To find how much more she needs to knit, we take the desired total length and subtract the length she has already knit. Desired total length: 52 inches Length already knit: 14 inches Remaining length to knit = Desired total length - Length already knit = 52 inches - 14 inches = 38 inches Therefore, with the new desired total length of 52 inches, Sarah needs to knit 38 more inches to finish the scarf. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: Joshua has extended his bamboo fence by 14 feet. If the original length of the fence was 49 feet, how long is Joshua's bamboo fence now?
Claude-3 Sonnet:
To solve this problem, we need to find the new length of the fence after extending it by 14 feet. Given information: - Joshua extended his bamboo fence by 14 feet. - The original length of the fence was 49 feet. Step 1: Find the new length of the fence by adding the extension to the original length. New length of the fence = Original length of the fence + Extension New length of the fence = 49 feet + 14 feet New length of the fence = 63 feet Therefore, Joshua's bamboo fence is now 63 feet long. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: After extending his bamboo fence, Joshua decided to shorten it a bit and ended up reducing its length by 18 feet. What is the final length of Joshua's bamboo fence now?
Claude-3 Sonnet:
To solve this problem, we need to find the final length of Joshua's bamboo fence after shortening it by 18 feet. Given information: - Joshua extended his bamboo fence, making it 63 feet long. - He then decided to shorten it by 18 feet. Step 1: Find the final length of the fence by subtracting the reduction from the extended length. Final length of the fence = Extended length of the fence - Reduction in length Final length of the fence = 63 feet - 18 feet Final length of the fence = 45 feet Therefore, the final length of Joshua's bamboo fence is now 45 feet. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: George is working on a landscaping project. He initially plants a row of bushes that stretches 85 feet. However, he decided to remove a section that is 58 feet long. After that, he thinks about adding another row adjacent to the current one that is 56 feet. What will be the total length of the planted bushes once George adds the new row?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the remaining bushes after removing the 58-foot section, and then add the length of the new row of bushes. Given information: - The initial row of bushes is 85 feet long. - George removes a section that is 58 feet long. - George plans to add another row of bushes that is 56 feet long. Step 1: Find the length of the remaining bushes after removing the 58-foot section. Length of the remaining bushes = Initial length - Length of the removed section Length of the remaining bushes = 85 feet - 58 feet = 27 feet Step 2: Find the total length of the planted bushes after adding the new row. Total length of planted bushes = Length of the remaining bushes + Length of the new row Total length of planted bushes = 27 feet + 56 feet = 83 feet ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: Let's consider that George initially planted a row of bushes that was 85 feet, but he later decided to change the section he removes to be 55 feet long, not 58 feet as before. If he still plans to add another row adjacent to the current one that is 56 feet long, what will be the total length of the planted bushes?
Claude-3 Sonnet:
Okay, let's recalculate the total length of the planted bushes with the updated information. Given information: - The initial row of bushes is 85 feet long. - George removes a section that is 55 feet long (changed from 58 feet). - George plans to add another row of bushes that is 56 feet long. Step 1: Find the length of the remaining bushes after removing the 55-foot section. Length of the remaining bushes = Initial length - Length of the removed section Length of the remaining bushes = 85 feet - 55 feet = 30 feet Step 2: Find the total length of the planted bushes after adding the new row. Total length of planted bushes = Length of the remaining bushes + Length of the new row Total length of planted bushes = 30 feet + 56 feet = 86 feet ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: John has two pieces of wood. The first piece is 51 inches long and the second piece is 45 inches long. He cuts the shorter length from the longer one. Then he adds a piece that is 40 inches long to the remaining length. What is the new total length of wood that John has?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the longer piece of wood after cutting off the shorter length, and then add the new piece of 40 inches to it. Given information: - The first piece of wood is 51 inches long. - The second piece of wood is 45 inches long. - John cuts the shorter length (45 inches) from the longer piece (51 inches). - John adds a piece that is 40 inches long to the remaining length. Step 1: Find the remaining length of the longer piece after cutting off the shorter length. Remaining length = Longer piece - Shorter piece Remaining length = 51 inches - 45 inches Remaining length = 6 inches Step 2: Find the new total length by adding the remaining length and the new piece of 40 inches. New total length = Remaining length + New piece New total length = 6 inches + 40 inches New total length = 46 inches Therefore, the new total length of wood that John has is 46 inches. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: John realizes that he needs more wood for his project. After finding a piece of wood that is 6 inches long in his garage, he decides to add this to his existing length of wood. What is the total length of wood that John now has?
Claude-3 Sonnet:
To solve this problem, we need to add the new piece of wood (6 inches) to the existing length of wood that John had. Given information: - John initially had a total length of 46 inches of wood. - John found a new piece of wood that is 6 inches long. Step 1: Find the total length of wood by adding the existing length and the new piece of wood. Total length = Existing length + New piece Total length = 46 inches + 6 inches Total length = 52 inches Therefore, the total length of wood that John now has is 52 inches. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A soccer field is 55 meters long. However, the field is currently only usable up to 27 meters due to maintenance works. How many meters of the field cannot be used?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the soccer field and the usable length due to maintenance works. Given information: - The soccer field is 55 meters long. - The field is currently only usable up to 27 meters due to maintenance works. Step 1: Find the length of the field that cannot be used. Length of the field that cannot be used = Total length of the field - Usable length Length of the field that cannot be used = 55 meters - 27 meters Length of the field that cannot be used = 28 meters Therefore, 28 meters of the field cannot be used due to maintenance works. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: After the big game, the soccer field was reduced back to its original size. But this time only 31 meters of the field could be used due to new maintenance works. How many meters of the field can't be used now?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the soccer field and the usable length due to the new maintenance works. Given information: - The total length of the soccer field is 55 meters (from the previous question). - Only 31 meters of the field can be used due to new maintenance works. Step 1: Find the length of the field that cannot be used. Length of the field that cannot be used = Total length of the field - Usable length Length of the field that cannot be used = 55 meters - 31 meters Length of the field that cannot be used = 24 meters Therefore, 24 meters of the field cannot be used due to the new maintenance works. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: John built a wooden shelf that was 4 feet long. He decided to add another section to it, making it 11 feet longer. How long is the wooden shelf now?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the wooden shelf after adding the new section. Given information: - The initial length of the wooden shelf was 4 feet. - John added another section that made the shelf 11 feet longer. Step 1: Find the length of the shelf after adding the new section. Initial length of the shelf + Length of the added section = New total length of the shelf 4 feet + 11 feet = 15 feet Therefore, the wooden shelf is now 15 feet long. ### Answer: 15 feet
Expected answer: 15
Correct? Yes
Problem: John built a wooden shelf that was 4 feet long. He decided to add another section to it, making it 11 feet longer. Then, John decided to build a wooden fence around his garden. The wooden fence was 83 feet long. How many feet did John work with in total for the shelf and the fence combined?
Claude-3 Sonnet:
In this problem, we need to find the total length of the wooden shelf after adding the new section and the length of the wooden fence, and then add them together. Given information: - The initial length of the wooden shelf was 4 feet. - John added another section that made the shelf 11 feet longer. - The length of the wooden fence is 83 feet. Step 1: Find the length of the wooden shelf after adding the new section. Initial length of the shelf + Length of the added section = New total length of the shelf 4 feet + 11 feet = 15 feet Step 2: Find the total length of the wooden shelf and the wooden fence combined. Length of the wooden shelf + Length of the wooden fence = Total length 15 feet + 83 feet = 98 feet Therefore, John worked with a total of 98 feet of wood for the shelf and the fence combined. ### Answer: 98 feet
Expected answer: 98
Correct? Yes
Problem: John originally built a wooden shelf that was 12 feet long before adding an additional section to it. This additional section made it 11 feet longer. Now, how long is John's wooden shelf?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the wooden shelf after adding the new section. Given information: - The initial length of the wooden shelf was 12 feet. - John added another section that made the shelf 11 feet longer. Step 1: Find the length of the shelf after adding the new section. Initial length of the shelf + Length of the added section = New total length of the shelf 12 feet + 11 feet = 23 feet Therefore, John's wooden shelf is now 23 feet long. ### Answer: 23 feet
Expected answer: 23
Correct? Yes
Problem: The length of a farm is 36 meters. A farmer wants to expand this area by extending the length by 10 more meters. What will be the total length of the farm after expansion?
Claude-3 Sonnet:
To solve this problem, we need to add the original length of the farm and the additional length that the farmer wants to extend. Given information: - The original length of the farm is 36 meters. - The farmer wants to extend the length by 10 meters. Step 1: Add the original length and the additional length. Original length + Additional length = Total length after expansion 36 meters + 10 meters = 46 meters Therefore, the total length of the farm after expansion will be 46 meters. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: In addition to the expansion, the farmer now considers adding a fence that includes an extra 14 meters to accommodate a gate and some additional space. What will be the total length of the farm, including the fence, after all the expansions?
Claude-3 Sonnet:
Okay, let's break this down: * Original length of the farm: 36 meters * Extension of length: 10 meters * Additional length for fence and gate: 14 meters To find the total length after all expansions, we need to add all these lengths together. Step 1: Calculate the length after the initial expansion Length after initial expansion = Original length + Extension of length Length after initial expansion = 36 meters + 10 meters = 46 meters Step 2: Calculate the total length including the fence and gate Total length = Length after initial expansion + Additional length for fence and gate Total length = 46 meters + 14 meters = 60 meters Therefore, the total length of the farm, including the fence and gate, after all the expansions will be 60 meters. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Let's say the farmer initially miscalculated the starting length of the farm, which was actually 56 meters instead of 36 meters. If he still wants to expand this area by extending 10 more meters, what would now be the total length of the farm?
Claude-3 Sonnet:
Okay, let's recalculate with the updated information. Given information: - The original length of the farm is 56 meters (not 36 meters). - The farmer wants to extend the length by 10 meters. Step 1: Add the original length and the additional length. Original length + Additional length = Total length after expansion 56 meters + 10 meters = 66 meters Therefore, with the initial length being 56 meters and extending it by 10 meters, the total length of the farm after expansion will be 66 meters. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Jacob is attempting to build a 79-foot long fence around his backyard. He has currently built 42 feet of the fence. How many more feet does Jacob need to build to complete the fence?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the fence and the length of the fence that Jacob has already built. Given information: - The total length of the fence is 79 feet. - Jacob has already built 42 feet of the fence. Step 1: Find the remaining length of the fence that needs to be built. Remaining length of the fence = Total length of the fence - Length of the fence already built Remaining length of the fence = 79 feet - 42 feet Remaining length of the fence = 37 feet Therefore, Jacob needs to build 37 more feet of the fence to complete it. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: After building the fence around his backyard, Jacob decided to add a 12-foot gate to the fence for easier access. What is the total length of the fence including the gate?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the length of the fence and the length of the gate. Given information: - The length of the fence is 79 feet. - The length of the gate is 12 feet. Step 1: Find the total length of the fence including the gate. Total length = Length of the fence + Length of the gate Total length = 79 feet + 12 feet Total length = 91 feet Therefore, the total length of the fence including the gate is 91 feet. ### Answer: 91
Expected answer: 49
Correct? No
Problem: Let's consider that Jacob originally planned to build a 79-foot fence. However, he made a mistake in his measurements and only needs to build a 43-foot fence. How many feet of fencing does Jacob need to subtract from his original plan?
Claude-3 Sonnet:
Okay, let's solve this problem step-by-step: Given: - Jacob originally planned to build a 79-foot fence. - However, he made a mistake in his measurements, and he only needs to build a 43-foot fence. To find how many feet of fencing Jacob needs to subtract from his original plan, we need to find the difference between the original planned length and the corrected length. Step 1: Find the difference between the original planned length and the corrected length. Difference in length = Original planned length - Corrected length Difference in length = 79 feet - 43 feet Difference in length = 36 feet Therefore, Jacob needs to subtract 36 feet of fencing from his original plan. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Travis buys two cassette tapes that are 19 inches and 62 inches long respectively. Realizing that he needs more tape to finish his work, he buys an additional cassette tape that is 6 inches long. How long, in inches, are all the cassette tapes combined that Travis bought?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the lengths of all the cassette tapes Travis bought. Given information: - Travis bought two cassette tapes with lengths of 19 inches and 62 inches. - Travis bought an additional cassette tape with a length of 6 inches. Step 1: Find the sum of the lengths of the first two cassette tapes. Length of the first tape + Length of the second tape = Sum of the lengths of the first two tapes 19 inches + 62 inches = 81 inches Step 2: Find the total length of all the cassette tapes by adding the length of the third tape. Sum of the lengths of the first two tapes + Length of the third tape = Total length of all the cassette tapes 81 inches + 6 inches = 87 inches Therefore, the total length of all the cassette tapes Travis bought is 87 inches. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After buying the cassette tapes, Travis uses 42 inches of tape for one of his audio project. How many inches of tape does he have left after finishing his audio project?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of tape after Travis uses 42 inches for his audio project. Given information: - Travis bought cassette tapes with a total length of 87 inches. - Travis used 42 inches of tape for his audio project. Step 1: Find the remaining length of tape after using 42 inches. Total length of tape - Length of tape used = Remaining length of tape 87 inches - 42 inches = 45 inches Therefore, Travis has 45 inches of tape left after finishing his audio project. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: After reviewing his purchases, Travis realized that he made a mistake and one of the cassette tapes that he thought was 62 inches long was actually only 29 inches long. With the additional 6 inches long cassette tape, how long, in inches, are all the cassette tapes combined that Travis actually bought?
Claude-3 Sonnet:
To solve this problem, we need to recalculate the total length of all the cassette tapes Travis bought, considering the corrected length of one of the tapes. Given information: - Travis bought one cassette tape that is 19 inches long. - Travis bought another cassette tape that is 29 inches long (corrected from 62 inches). - Travis bought an additional cassette tape that is 6 inches long. Step 1: Find the sum of the lengths of the first two cassette tapes with the corrected length. Length of the first tape + Length of the second tape (corrected) = Sum of the lengths of the first two tapes 19 inches + 29 inches = 48 inches Step 2: Find the total length of all the cassette tapes by adding the length of the third tape. Sum of the lengths of the first two tapes + Length of the third tape = Total length of all the cassette tapes 48 inches + 6 inches = 54 inches Therefore, the total length of all the cassette tapes Travis actually bought is 54 inches. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: The length of a park is 21 meters and the width is 45 meters. A jogging track is to be built around the park that is an additional 15 meters longer than the combined length and width of the park. How long will the jogging track be?
Claude-3 Sonnet:
To solve this problem, we need to find the perimeter of the park and then add 15 meters to it. Given information: - The length of the park is 21 meters. - The width of the park is 45 meters. - The jogging track is to be 15 meters longer than the combined length and width of the park. Step 1: Find the combined length and width of the park. Combined length and width of the park = Length + Width Combined length and width of the park = 21 meters + 45 meters Combined length and width of the park = 66 meters Step 2: Find the length of the jogging track. Length of the jogging track = Combined length and width of the park + 15 meters Length of the jogging track = 66 meters + 15 meters Length of the jogging track = 81 meters Therefore, the length of the jogging track will be 81 meters. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: The park's length is 21 meters, and the width is 45 meters. An additional jogging track is to be built around the park, which is 15 meters longer than the combined length and width of the park. After completing the jogging track, the city plans to build a bike track around the jogging track. If the total length available for the bike track is 90 meters, how much shorter would the bike track be compared to the available space?
Claude-3 Sonnet:
In this problem, we need to find the length of the jogging track first, and then calculate the difference between the available space for the bike track and the length of the jogging track. Given information: - The length of the park is 21 meters. - The width of the park is 45 meters. - The jogging track is 15 meters longer than the combined length and width of the park. - The total length available for the bike track is 90 meters. Step 1: Find the combined length and width of the park. Combined length and width of the park = Length + Width Combined length and width of the park = 21 meters + 45 meters Combined length and width of the park = 66 meters Step 2: Find the length of the jogging track. Length of the jogging track = Combined length and width of the park + 15 meters Length of the jogging track = 66 meters + 15 meters Length of the jogging track = 81 meters Step 3: Find the difference between the available space for the bike track and the length of the jogging track. Difference = Total length available for the bike track - Length of the jogging track Difference = 90 meters - 81 meters Difference = 9 meters Therefore, the bike track would be 9 meters shorter than the available space. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: The original length of the park was 21 meters, but the city decided to shrink it down to 11 meters while keeping the width at 45 meters. They still aim to add a jogging track around the park, which will be 15 meters longer than the combined new length and width. How long will the new jogging track be?
Claude-3 Sonnet:
To solve this problem, we need to find the new combined length and width of the park after shrinking the length, and then add 15 meters to it to find the length of the new jogging track. Given information: - The new length of the park is 11 meters. - The width of the park remains 45 meters. - The jogging track will be 15 meters longer than the combined new length and width of the park. Step 1: Find the new combined length and width of the park. New combined length and width of the park = New length + Width New combined length and width of the park = 11 meters + 45 meters New combined length and width of the park = 56 meters Step 2: Find the length of the new jogging track. Length of the new jogging track = New combined length and width of the park + 15 meters Length of the new jogging track = 56 meters + 15 meters Length of the new jogging track = 71 meters Therefore, the length of the new jogging track will be 71 meters. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: At a construction site, a worker needs to cut a 15 feet piece of lumber. After the first cut, he realizes he needs an additional piece that is 13 feet long. How long is the total length of the lumber he needs?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the lengths of the two pieces of lumber required. Given information: - The worker needs to cut a 15 feet piece of lumber. - After the first cut, the worker needs an additional piece that is 13 feet long. Step 1: Find the length of the first piece of lumber after the cut. Length of the first piece after the cut = 15 feet - 13 feet = 2 feet Step 2: Find the total length of the lumber needed. Total length of lumber needed = Length of the first piece after the cut + Length of the additional piece Total length of lumber needed = 2 feet + 13 feet = 15 feet Therefore, the total length of the lumber the worker needs is 15 feet. ### Answer: 15
Expected answer: 28
Correct? No
Problem: A bricklayer has a stack of bricks that are each 10 inches long. If he adds another brick that is 9 inches long to the stack, what will be the total lengths of the bricks in inches?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the bricks in the original stack and then add the length of the new brick. Given information: - Each brick in the original stack is 10 inches long. - The new brick is 9 inches long. Step 1: Find the number of bricks in the original stack. Let's assume there are x bricks in the original stack. Step 2: Find the total length of the bricks in the original stack. Total length of the original stack = x × 10 inches (since each brick is 10 inches long) Step 3: Find the total length of the bricks after adding the new brick. Total length after adding the new brick = Total length of the original stack + Length of the new brick Total length after adding the new brick = (x × 10 inches) + 9 inches Therefore, the total length of the bricks after adding the new brick is (x × 10 inches) + 9 inches. Since we don't know the exact number of bricks in the original stack, we can express the final answer in terms of x. ### Answer: (x × 10 inches) + 9 inches
Expected answer: 19
Correct? No
Problem: A train travels 82 kilometers before making a stop. After the stop, it travels another 14 kilometers. How many total kilometers does the train travel?
Claude-3 Sonnet:
To solve this problem, we need to add the distances traveled before and after the stop. Given information: - The train travels 82 kilometers before making a stop. - After the stop, the train travels another 14 kilometers. Step 1: Add the distances traveled before and after the stop. Distance traveled before the stop + Distance traveled after the stop = Total distance traveled 82 kilometers + 14 kilometers = 96 kilometers ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: If the train had initially traveled a distance of only 19 kilometers before making a stop instead of 82 kilometers, and it still traveled an additional 14 kilometers after the stop, how many total kilometers would the train have traveled then?
Claude-3 Sonnet:
Okay, let's solve this new problem step-by-step: Given information: - The train initially travels 19 kilometers before making a stop (instead of 82 kilometers). - After the stop, the train travels an additional 14 kilometers. Step 1: Find the distance traveled before the stop. Distance traveled before the stop = 19 kilometers Step 2: Find the distance traveled after the stop. Distance traveled after the stop = 14 kilometers Step 3: Calculate the total distance traveled by adding the distances before and after the stop. Total distance traveled = Distance traveled before the stop + Distance traveled after the stop Total distance traveled = 19 kilometers + 14 kilometers Total distance traveled = 33 kilometers ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: There is a park measuring 79 meters in length from the entrance to the end. If a certain pathway extends 21 meters inward from the entrance gate, what is the remaining length of the park from the end of the pathway to the park's end?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining length of the park from the end of the pathway to the park's end. Given information: - The length of the park from the entrance to the end is 79 meters. - The pathway extends 21 meters inward from the entrance gate. Step 1: Find the length of the park from the end of the pathway to the park's end. Length of the park from the entrance to the end - Length of the pathway from the entrance = Remaining length of the park from the end of the pathway to the park's end 79 meters - 21 meters = 58 meters Therefore, the remaining length of the park from the end of the pathway to the park's end is 58 meters. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: Continuing from the first problem, let's say the pathway from the entrance gate was not 21 meters but now only extends into the park by 21 meters, what is the new remaining length of the park from the end of the pathway to the park's end given that the total length of the park is now reduced to 51 meters?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The total length of the park from the entrance to the end is now 51 meters. - The pathway extends 21 meters into the park from the entrance gate. To find the remaining length of the park from the end of the pathway to the park's end, we need to subtract the length of the pathway from the total length of the park. Step 1: Find the remaining length of the park from the end of the pathway to the park's end. Total length of the park - Length of the pathway = Remaining length of the park from the end of the pathway to the park's end 51 meters - 21 meters = 30 meters Therefore, with the new information, the remaining length of the park from the end of the pathway to the park's end is 30 meters. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: A farmer has a field that is 48 meters long. If he plans to plant crops in 29 meters of it, how many meters does he have left for other usage?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total length of the field and the length of the area where the farmer plans to plant crops. Given information: - The length of the field is 48 meters. - The farmer plans to plant crops in 29 meters of the field. Step 1: Find the length of the area left for other usage. Length of the area left for other usage = Total length of the field - Length of the area for planting crops Length of the area left for other usage = 48 meters - 29 meters Length of the area left for other usage = 19 meters Therefore, the farmer has 19 meters left for other usage. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Continuing from the previous situation, what if the farmer's original field was 46 meters long instead of 48 meters as initially thought? Given that he still planted crops in 29 meters of it, how many meters does he now have left for other usage?
Claude-3 Sonnet:
Okay, let's recalculate with the updated information. Given information: - The length of the field is 46 meters (instead of 48 meters). - The farmer plans to plant crops in 29 meters of the field. Step 1: Find the length of the area left for other usage. Length of the area left for other usage = Total length of the field - Length of the area for planting crops Length of the area left for other usage = 46 meters - 29 meters Length of the area left for other usage = 17 meters Therefore, with the updated field length of 46 meters, and the farmer still planting crops in 29 meters of it, he now has 17 meters left for other usage. ### Answer: 17
Expected answer: 17
Correct? Yes