Claude-3 Sonnet on 6.EE.B.7
Common Core Standard 6.EE.B.7
This standard covers the following:
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Problem: James has a pair of binoculars that allows him to see 12 miles. If the basic binoculars only see 6 miles, how much additional distance does James's binoculars cover?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the distance that James's binoculars can see and the distance that basic binoculars can see. Given information: - James's binoculars can see 12 miles. - Basic binoculars can see 6 miles. Step 1: Find the additional distance that James's binoculars can see. Additional distance = Distance that James's binoculars can see - Distance that basic binoculars can see Additional distance = 12 miles - 6 miles Additional distance = 6 miles Therefore, James's binoculars can see 6 miles more than basic binoculars. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A box has 641 balls in total. If 284 of those balls are yellow, how many balls are not yellow?
Claude-3 Sonnet:
To solve this problem, we need to find the number of balls that are not yellow. Given information: - The box has a total of 641 balls. - 284 of the balls are yellow. Step 1: Find the number of balls that are not yellow. Number of balls that are not yellow = Total number of balls - Number of yellow balls Number of balls that are not yellow = 641 - 284 Number of balls that are not yellow = 357 Therefore, there are 357 balls that are not yellow in the box. ### Answer: 357
Expected answer: 357
Correct? Yes
Problem: In a bag, there are total 355 balls. If there are already 44 green balls, how many red balls should be added to the bag?
Claude-3 Sonnet:
To solve this problem, we need to find the number of red balls that should be added to the bag so that the total number of balls remains 355. Given information: - There are a total of 355 balls in the bag. - There are already 44 green balls in the bag. Step 1: Find the number of balls that are not green. Total balls - Green balls = Non-green balls 355 - 44 = 311 non-green balls Step 2: Assume that the remaining non-green balls are red balls. Number of red balls to be added = Non-green balls Number of red balls to be added = 311 Therefore, 311 red balls should be added to the bag to make the total number of balls 355. ### Answer: 311
Expected answer: 311
Correct? Yes
Problem: In a toy shop, there is a total of 601 toy cars. If 321 toy cars are blue, how many toy cars are not blue?
Claude-3 Sonnet:
To solve this problem, we need to find the number of toy cars that are not blue. Given information: - There is a total of 601 toy cars in the toy shop. - 321 toy cars are blue. Step 1: Find the number of toy cars that are not blue. Number of toy cars that are not blue = Total number of toy cars - Number of blue toy cars Number of toy cars that are not blue = 601 - 321 Number of toy cars that are not blue = 280 Therefore, there are 280 toy cars that are not blue in the toy shop. ### Answer: 280
Expected answer: 280
Correct? Yes
Problem: A certain breed of mouse has a metabolic rate such that it needs to consume 104 food units every day. If a group of these mice require 7592 units of food for one day, how many mice are there in the group?
Claude-3 Sonnet:
To solve this problem, we need to find the number of mice in the group by dividing the total food units required by the food units needed per mouse. Given information: - Each mouse needs to consume 104 food units every day. - The group of mice requires 7592 food units for one day. Step 1: Find the number of mice in the group. Number of mice = Total food units required / Food units needed per mouse Number of mice = 7592 food units / 104 food units per mouse Number of mice = 73 Therefore, there are 73 mice in the group. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a park, there are 311 kids playing. If 159 of them are playing on the jungle gym, how many kids are not using the jungle gym?
Claude-3 Sonnet:
To solve this problem, we need to find the number of kids who are not playing on the jungle gym. Given information: - There are 311 kids playing in the park. - 159 kids are playing on the jungle gym. To find the number of kids not using the jungle gym, we need to subtract the number of kids on the jungle gym from the total number of kids in the park. Number of kids not using the jungle gym = Total number of kids - Number of kids on the jungle gym Number of kids not using the jungle gym = 311 - 159 Number of kids not using the jungle gym = 152 Therefore, 152 kids are not using the jungle gym. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: In a basket, there are 168 apples. If a person just added 166 apples, how many apples were there in the basket before they were added?
Claude-3 Sonnet:
To solve this problem, we need to find the number of apples in the basket before the additional apples were added. Given information: - There are 168 apples in the basket after adding the new apples. - 166 apples were added to the basket. Let's represent the number of apples in the basket before adding the new apples as x. After adding the new apples, the total number of apples in the basket is 168. x + 166 = 168 Rearranging the equation to find x: x = 168 - 166 x = 2 Therefore, there were 2 apples in the basket before the additional 166 apples were added. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a fantasy world, a dragon currently owns 380 gold coins in his treasure pile. If he had previously collected 333 gold coins, how many gold coins did he just add to his treasure pile?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the current number of gold coins in the dragon's treasure pile and the number of gold coins he had previously collected. Given information: - The dragon currently owns 380 gold coins in his treasure pile. - The dragon had previously collected 333 gold coins. Step 1: Find the number of gold coins the dragon just added to his treasure pile. Number of gold coins added = Current number of gold coins - Previous number of gold coins Number of gold coins added = 380 - 333 Number of gold coins added = 47 Therefore, the dragon just added 47 gold coins to his treasure pile. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: An accomplished drummer practices 9234 beats per day. If they play each drum solo 171 times a day, how many beats do they play during each solo?
Claude-3 Sonnet:
To solve this problem, we need to find the number of beats played during each solo by dividing the total number of beats practiced per day by the number of solos played per day. Given information: - The drummer practices 9234 beats per day. - The drummer plays each drum solo 171 times a day. Step 1: Find the number of beats played during each solo. Number of beats played during each solo = Total number of beats practiced per day / Number of solos played per day Number of beats played during each solo = 9234 beats / 171 solos Step 2: Calculate the number of beats played during each solo. Number of beats played during each solo = 9234 beats / 171 solos Number of beats played during each solo = 54 beats Therefore, the drummer plays 54 beats during each solo. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A zoo has 373 tigers in total. If the zoo added 55 new tigers and that made the total number of tigers 373, how many tigers were there in the zoo before the new ones arrived?
Claude-3 Sonnet:
To solve this problem, we need to find the number of tigers in the zoo before the new ones arrived. Given information: - The zoo has a total of 373 tigers after adding 55 new tigers. - The zoo added 55 new tigers. Let's represent the number of tigers in the zoo before the new ones arrived as x. After adding 55 new tigers, the total number of tigers became 373. x + 55 = 373 Rearranging the equation to find x: x = 373 - 55 x = 318 Therefore, there were 318 tigers in the zoo before the new ones arrived. ### Answer: 318
Expected answer: 318
Correct? Yes
Problem: A sunglasses store has 352 pairs of sunglasses in total. If 182 pairs are for men, how many pairs are for women?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of sunglasses that are not for men, which will be the number of pairs for women. Given information: - The sunglasses store has a total of 352 pairs of sunglasses. - 182 pairs are for men. Step 1: Find the number of pairs of sunglasses that are not for men. Total pairs of sunglasses - Pairs of sunglasses for men = Pairs of sunglasses for women 352 - 182 = 170 Therefore, there are 170 pairs of sunglasses for women in the store. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: If the cloudiness index of city A was 1 point more than city B and city A had a cloudiness index of 157, what was the cloudiness index of city B?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the cloudiness indices of city A and city B, and then use the given information to find the cloudiness index of city B. Given information: - The cloudiness index of city A was 1 point more than city B. - The cloudiness index of city A was 157. Let's represent the cloudiness index of city B as x. Since the cloudiness index of city A is 1 point more than city B, we can write: Cloudiness index of city A = Cloudiness index of city B + 1 157 = x + 1 Rearranging the equation, we get: x = 157 - 1 x = 156 Therefore, the cloudiness index of city B is 156. ### Answer: 156
Expected answer: 156
Correct? Yes
Problem: A UFO was captured flying at a consistent speed. It was calculated that it traveled 3660 kilometers in 60 minutes. What was the speed of the UFO in kilometers per minute?
Claude-3 Sonnet:
To find the speed of the UFO in kilometers per minute, we need to divide the distance traveled by the time taken. Given information: - The UFO traveled a distance of 3660 kilometers. - The time taken was 60 minutes. Speed = Distance / Time Speed = 3660 kilometers / 60 minutes Speed = 61 kilometers per minute ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: You have a juice store that has a total of 655 bottles of juice. If 386 are apple juice, how many bottles of other types of juice are there?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of bottles and the number of apple juice bottles. Given information: - Total number of bottles of juice = 655 - Number of apple juice bottles = 386 Step 1: Find the number of bottles of other types of juice. Number of bottles of other types of juice = Total number of bottles - Number of apple juice bottles Number of bottles of other types of juice = 655 - 386 Number of bottles of other types of juice = 269 Therefore, there are 269 bottles of other types of juice in the juice store. ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: In a faraway galactic system a star radiates energy at 401 units per hour. If this amount includes 82 background units, how much energy does the star itself radiate per hour?
Claude-3 Sonnet:
To solve this problem, we need to find the energy radiated by the star itself by subtracting the background units from the total energy radiated. Given information: - The star radiates energy at 401 units per hour. - The background units are 82 units. Step 1: Subtract the background units from the total energy radiated. Energy radiated by the star itself = Total energy radiated - Background units Energy radiated by the star itself = 401 units - 82 units Energy radiated by the star itself = 319 units Therefore, the star itself radiates 319 units of energy per hour. ### Answer: 319
Expected answer: 319
Correct? Yes
Problem: A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?
Claude-3 Sonnet:
To solve this problem, we need to subtract the number of grapes the farmer sold from the initial number of grapes they had. Given information: - The farmer initially had 414 grapes. - The farmer sold 78 grapes. Step 1: Subtract the number of grapes sold from the initial number of grapes. Number of grapes left = Initial number of grapes - Number of grapes sold Number of grapes left = 414 - 78 Number of grapes left = 336 Therefore, after selling 78 grapes, the farmer has 336 grapes left. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: In a candy store, there are 107 total lollipops. If there are 34 apple-flavored lollipops, how many lollipops are of other flavors?
Claude-3 Sonnet:
To solve this problem, we need to find the number of lollipops that are not apple-flavored. Given information: - There are 107 total lollipops in the candy store. - There are 34 apple-flavored lollipops. To find the number of lollipops of other flavors, we need to subtract the number of apple-flavored lollipops from the total number of lollipops. Number of lollipops of other flavors = Total number of lollipops - Number of apple-flavored lollipops Number of lollipops of other flavors = 107 - 34 Number of lollipops of other flavors = 73 Therefore, there are 73 lollipops of other flavors in the candy store. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a summer camp, there is a huge tent which takes up a total space of 352 square meters. If the space inside the tent is 36 square meters lesser than the total space, what is the actual inner space of the tent?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total space of the tent and the space taken up by the tent's walls or structure. Given information: - The total space of the tent is 352 square meters. - The inner space of the tent is 36 square meters less than the total space. Step 1: Find the inner space of the tent. Inner space of the tent = Total space of the tent - Space taken up by the tent's walls or structure Inner space of the tent = 352 square meters - 36 square meters Inner space of the tent = 316 square meters Therefore, the actual inner space of the tent is 316 square meters. ### Answer: 316
Expected answer: 316
Correct? Yes
Problem: In a drumming competition, the total score a participant can earn is 95 points. If a drummer received a score of 27 points less than the total possible score, what was their score?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total possible score and the score the drummer received. Given information: - The total possible score in the drumming competition is 95 points. - The drummer received a score that is 27 points less than the total possible score. Step 1: Find the drummer's score by subtracting 27 from the total possible score. Drummer's score = Total possible score - Points less than the total score Drummer's score = 95 - 27 Drummer's score = 68 points Therefore, the drummer received a score of 68 points in the drumming competition. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In a magical world, a wizard cast a spell which resulted in 211 magical sparks. If he started with 29 sparks, how many sparks did his spell create?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of sparks and the initial number of sparks. Given information: - The wizard started with 29 sparks. - After casting the spell, there were 211 sparks in total. Step 1: Find the number of sparks created by the spell. Number of sparks created by the spell = Total number of sparks after the spell - Initial number of sparks Number of sparks created by the spell = 211 - 29 Number of sparks created by the spell = 182 Therefore, the wizard's spell created 182 magical sparks. ### Answer: 182
Expected answer: 182
Correct? Yes
Problem: A police station has 327 police officers in total. If 231 officers are in the detective department, how many officers make up the rest of the police station's personnel?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of police officers and the number of officers in the detective department. Given information: - The total number of police officers in the police station is 327. - The number of officers in the detective department is 231. Step 1: Subtract the number of officers in the detective department from the total number of officers. Number of officers in the rest of the police station's personnel = Total number of officers - Number of officers in the detective department Number of officers in the rest of the police station's personnel = 327 - 231 Number of officers in the rest of the police station's personnel = 96 Therefore, the number of officers that make up the rest of the police station's personnel is 96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: There are 5536 bars in total to construct a large jungle gym. If each section of the jungle gym requires 16 bars, how many sections can be constructed?
Claude-3 Sonnet:
To solve this problem, we need to find out how many sections can be constructed with the given number of bars. Given information: - There are 5536 bars in total. - Each section of the jungle gym requires 16 bars. Step 1: Find the number of sections that can be constructed by dividing the total number of bars by the number of bars required for each section. Number of sections = Total number of bars / Number of bars required for each section Number of sections = 5536 bars / 16 bars per section Number of sections = 346 sections Therefore, 346 sections of the jungle gym can be constructed with the available 5536 bars. ### Answer: 346
Expected answer: 346
Correct? Yes
Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of seashells found by the number of days in the vacation. Given information: - The mermaid found 9282 seashells. - The vacation lasted for 91 days. Step 1: Divide the total number of seashells by the number of days. Number of seashells found per day = Total number of seashells / Number of days Number of seashells found per day = 9282 / 91 Step 2: Calculate the result. Number of seashells found per day = 9282 / 91 Number of seashells found per day = 102 Therefore, the mermaid found 102 seashells each day during her 91-day vacation. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the current number of contacts and the previous number of contacts. Given information: - John currently has 726 contacts in his phone. - John previously had 345 contacts. Step 1: Find the number of new contacts added. Number of new contacts added = Current number of contacts - Previous number of contacts Number of new contacts added = 726 - 345 Number of new contacts added = 381 Therefore, John added 381 new contacts to his phone. ### Answer: 381
Expected answer: 381
Correct? Yes
Problem: A river's length is 540 kilometers. If the upper part of the river is 191 kilometers, what is the length of the lower part of the river?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the lower part of the river by subtracting the length of the upper part from the total length of the river. Given information: - The total length of the river is 540 kilometers. - The length of the upper part of the river is 191 kilometers. Step 1: Subtract the length of the upper part from the total length of the river. Length of the lower part = Total length of the river - Length of the upper part Length of the lower part = 540 kilometers - 191 kilometers Length of the lower part = 349 kilometers Therefore, the length of the lower part of the river is 349 kilometers. ### Answer: 349
Expected answer: 349
Correct? Yes
Problem: If a farmer stored some apples and the total count became 348 after adding another 219 apples, how many apples did the farmer initially have?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of apples the farmer had before adding the 219 apples. Given information: - The total count of apples after adding 219 apples is 348. Let's represent the initial number of apples as x. We can set up an equation: x + 219 = 348 Rearranging the equation to isolate x: x = 348 - 219 x = 129 Therefore, the farmer initially had 129 apples before adding the 219 apples. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: An artist uses 258 bottles of paint in a month. If she has used 7 bottles already, how many more does she need to meet her monthly goal?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the monthly goal and the number of bottles already used. Given information: - The artist's monthly goal is to use 258 bottles of paint. - The artist has already used 7 bottles of paint. Step 1: Find the number of bottles remaining to meet the monthly goal. Number of bottles remaining = Monthly goal - Number of bottles already used Number of bottles remaining = 258 - 7 Number of bottles remaining = 251 Therefore, the artist needs 251 more bottles of paint to meet her monthly goal. ### Answer: 251
Expected answer: 251
Correct? Yes
Problem: A helicopter started flying at an elevation of 124 feet. It continued to ascend until it reached an altitude of 334 feet. How many feet did the helicopter ascend after the initial 124 feet?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final altitude and the initial elevation. Given information: - The helicopter started flying at an elevation of 124 feet. - The helicopter reached an altitude of 334 feet. Step 1: Find the difference between the final altitude and the initial elevation. Final altitude - Initial elevation = Ascent after the initial elevation 334 feet - 124 feet = 210 feet Therefore, the helicopter ascended 210 feet after the initial 124 feet. ### Answer: 210
Expected answer: 210
Correct? Yes
Problem: A sailor is 22 miles into his journey and ends up 161 miles away from his starting point. How much farther did he travel from the point he was at 22 miles?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance the sailor traveled and then subtract the initial distance of 22 miles. Given information: - The sailor is 22 miles into his journey. - The sailor ends up 161 miles away from his starting point. Step 1: Find the total distance the sailor traveled. Total distance traveled = 161 miles (since he ends up 161 miles away from his starting point) Step 2: Find the distance the sailor traveled from the point he was at 22 miles. Distance traveled from the 22-mile point = Total distance traveled - Initial distance of 22 miles Distance traveled from the 22-mile point = 161 miles - 22 miles Distance traveled from the 22-mile point = 139 miles Therefore, the sailor traveled 139 miles farther from the point he was at 22 miles into his journey. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: An ice cream shop made a total of 482 ice cream scoops. If 357 of those scoops are vanilla, how many scoops of other flavors did the shop make?
Claude-3 Sonnet:
To solve this problem, we need to find the number of scoops that are not vanilla. Given information: - The ice cream shop made a total of 482 ice cream scoops. - 357 of those scoops are vanilla. Step 1: Find the number of scoops that are not vanilla. Total scoops - Vanilla scoops = Scoops of other flavors 482 - 357 = 125 Therefore, the ice cream shop made 125 scoops of other flavors. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: During a circus performance, a juggler tossed 113 juggling balls into the air. If she started with 105 balls, how many additional balls did she add to the routine?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of balls the juggler tossed into the air and the number of balls she started with. Given information: - The juggler tossed 113 juggling balls into the air. - The juggler started with 105 balls. Step 1: Find the difference between the number of balls tossed and the number of balls started with. Number of additional balls added = Number of balls tossed - Number of balls started with Number of additional balls added = 113 - 105 Number of additional balls added = 8 Therefore, the juggler added 8 additional balls to the routine. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A jeweler has a total of 267 gemstones. If 80 of these gemstones have already been attached to rings, how many gemstones has the jeweler not yet attached to any rings?
Claude-3 Sonnet:
To solve this problem, we need to find the number of gemstones that have not been attached to rings. Given information: - The jeweler has a total of 267 gemstones. - 80 gemstones have already been attached to rings. Step 1: Find the number of gemstones that have not been attached to rings. Number of gemstones not attached to rings = Total gemstones - Gemstones attached to rings Number of gemstones not attached to rings = 267 - 80 Number of gemstones not attached to rings = 187 Therefore, the jeweler has 187 gemstones that have not yet been attached to any rings. ### Answer: 187
Expected answer: 187
Correct? Yes
Problem: A car can drive a total of 743 miles on its full tank. If the first half of the tank will get it 357 miles, how many miles will the second half of the tank get it?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total miles the car can drive on a full tank and the miles it can drive on the first half of the tank. Given information: - The car can drive a total of 743 miles on a full tank. - The first half of the tank will get the car 357 miles. Step 1: Find the miles the car can drive on the second half of the tank. Total miles on a full tank - Miles on the first half of the tank = Miles on the second half of the tank 743 miles - 357 miles = 386 miles Therefore, the second half of the tank will get the car 386 miles. ### Answer: 386
Expected answer: 386
Correct? Yes
Problem: In a circus, a juggling act has a total of 447 pieces to juggle. If 273 pieces are already in use, how many extra pieces do they have left?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of pieces and the number of pieces already in use. Given information: - The juggling act has a total of 447 pieces to juggle. - 273 pieces are already in use. Step 1: Find the number of extra pieces left. Extra pieces left = Total pieces - Pieces already in use Extra pieces left = 447 - 273 Step 2: Calculate the result. Extra pieces left = 447 - 273 Extra pieces left = 174 Therefore, the juggling act has 174 extra pieces left. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: At an eyewear shop, there are 396 eyeglasses. If all the eyeglasses are manufactured in pairs, how many pairs of eyeglasses does the shop have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of eyeglasses given the total number of individual eyeglasses. Given information: - There are 396 eyeglasses in the shop. - Eyeglasses are manufactured in pairs. Since eyeglasses are manufactured in pairs, we need to divide the total number of eyeglasses by 2 to find the number of pairs. Number of pairs of eyeglasses = Total number of eyeglasses / 2 Number of pairs of eyeglasses = 396 / 2 Number of pairs of eyeglasses = 198 Therefore, the shop has 198 pairs of eyeglasses. ### Answer: 198
Expected answer: 198
Correct? Yes
Problem: You're attempting to measure the wind speed in knots. Today, your device indicates a speed of 366 knots. Knowing that the device happens to add 314 knots to the actual speed due to a calibration error, can you calculate the actual wind speed today?
Claude-3 Sonnet:
To find the actual wind speed, we need to subtract the calibration error from the indicated speed. Given information: - The device indicates a speed of 366 knots. - The device adds 314 knots to the actual speed due to a calibration error. Step 1: Subtract the calibration error from the indicated speed. Actual wind speed = Indicated speed - Calibration error Actual wind speed = 366 knots - 314 knots Actual wind speed = 52 knots Therefore, the actual wind speed today is 52 knots. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A door manufacturer has a target to make 139 doors today. If they have already made 126 doors, how many more do they need to make to reach their target?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the target number of doors and the number of doors already made. Given information: - The target number of doors to be made today is 139. - The number of doors already made is 126. Step 1: Find the difference between the target number of doors and the number of doors already made. Number of doors needed to reach the target = Target number of doors - Number of doors already made Number of doors needed to reach the target = 139 - 126 Number of doors needed to reach the target = 13 Therefore, the door manufacturer needs to make 13 more doors to reach their target of 139 doors for today. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: If you have 200 pictures and your friend gives you 8 more, how many pictures did you start with?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of pictures you had before your friend gave you 8 more. Given information: - You ended up with a total of 200 pictures after your friend gave you 8 more. - Your friend gave you 8 more pictures. Let's represent the initial number of pictures you had as x. After your friend gave you 8 more pictures, the total number of pictures became: x + 8 = 200 Rearranging the equation to find x: x = 200 - 8 x = 192 Therefore, you started with 192 pictures before your friend gave you 8 more. ### Answer: 192
Expected answer: 192
Correct? Yes
Problem: The police department has a total of 195 officers. If 95 of those officers are on vacation, how many are on active duty?
Claude-3 Sonnet:
To solve this problem, we need to find the number of officers who are not on vacation, which will be the number of officers on active duty. Given information: - The police department has a total of 195 officers. - 95 officers are on vacation. Step 1: Find the number of officers who are not on vacation. Total number of officers - Number of officers on vacation = Number of officers not on vacation 195 - 95 = 100 Therefore, 100 officers are not on vacation and are on active duty. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: In a Word document, there are a total of 578 words in it. If you know that you already wrote 206 words, how many more words will you have to write?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of words in the document and the number of words already written. Given information: - Total number of words in the Word document = 578 words - Number of words already written = 206 words Step 1: Find the number of words remaining to be written. Number of words remaining = Total number of words - Number of words already written Number of words remaining = 578 - 206 Number of words remaining = 372 words Therefore, you will have to write 372 more words to complete the Word document. ### Answer: 372
Expected answer: 372
Correct? Yes
Problem: A helicopter is carrying supplies for a total weight of 498 pounds. If the gear, excluding the weight of the supplies, weighs 251 pounds, how many pounds of supplies is the helicopter carrying?
Claude-3 Sonnet:
To solve this problem, we need to find the weight of the supplies by subtracting the weight of the gear from the total weight. Given information: - The total weight of the helicopter, including supplies and gear, is 498 pounds. - The weight of the gear, excluding the weight of the supplies, is 251 pounds. Step 1: Find the weight of the supplies. Weight of the supplies = Total weight - Weight of the gear Weight of the supplies = 498 pounds - 251 pounds Weight of the supplies = 247 pounds Therefore, the helicopter is carrying 247 pounds of supplies. ### Answer: 247
Expected answer: 247
Correct? Yes
Problem: In a school, there are 632 books in total. If the English teacher has 271 of those books, how many books do the other teachers have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of books that the other teachers have by subtracting the number of books the English teacher has from the total number of books in the school. Given information: - There are 632 books in total in the school. - The English teacher has 271 books. Step 1: Find the number of books that the other teachers have. Number of books the other teachers have = Total number of books - Number of books the English teacher has Number of books the other teachers have = 632 - 271 Number of books the other teachers have = 361 Therefore, the other teachers have 361 books. ### Answer: 361
Expected answer: 361
Correct? Yes
Problem: In a bubble-making competition, a contestant created 161 bubbles. If he already had 142 bubbles and then blew more, how many additional bubbles did he blow?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of bubbles created and the number of bubbles the contestant already had. Given information: - The contestant created a total of 161 bubbles. - The contestant already had 142 bubbles before blowing more. Step 1: Find the number of additional bubbles blown by the contestant. Number of additional bubbles blown = Total number of bubbles created - Number of bubbles already had Number of additional bubbles blown = 161 - 142 Step 2: Calculate the number of additional bubbles blown. Number of additional bubbles blown = 161 - 142 Number of additional bubbles blown = 19 Therefore, the contestant blew 19 additional bubbles during the bubble-making competition. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a chicken farm, there are 254 chickens. If there were originally 41 chickens and the rest were newly hatched, how many chickens were newly hatched?
Claude-3 Sonnet:
To solve this problem, we need to find the number of newly hatched chickens by subtracting the original number of chickens from the total number of chickens. Given information: - There are currently 254 chickens in the chicken farm. - Originally, there were 41 chickens. Step 1: Find the number of newly hatched chickens. Number of newly hatched chickens = Total number of chickens - Original number of chickens Number of newly hatched chickens = 254 - 41 Number of newly hatched chickens = 213 Therefore, 213 chickens were newly hatched in the chicken farm. ### Answer: 213
Expected answer: 213
Correct? Yes
Problem: In the magical land of unicorns, there are 619 unicorns in total. If 227 of those unicorns are baby unicorns, how many unicorns are grown adults?
Claude-3 Sonnet:
To solve this problem, we need to find the number of grown adult unicorns by subtracting the number of baby unicorns from the total number of unicorns. Given information: - Total number of unicorns = 619 - Number of baby unicorns = 227 Step 1: Subtract the number of baby unicorns from the total number of unicorns. Number of grown adult unicorns = Total number of unicorns - Number of baby unicorns Number of grown adult unicorns = 619 - 227 Number of grown adult unicorns = 392 Therefore, there are 392 grown adult unicorns in the magical land of unicorns. ### Answer: 392
Expected answer: 392
Correct? Yes
Problem: If the total amount of money in your bank account is $425, and $298 of it is still available after paying bills, how much did you spend on bills?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total amount of money in the bank account and the amount remaining after paying bills. Given information: - Total amount of money in the bank account = $425 - Amount remaining after paying bills = $298 Step 1: Find the amount spent on bills. Amount spent on bills = Total amount of money - Amount remaining after paying bills Amount spent on bills = $425 - $298 Amount spent on bills = $127 Therefore, the amount spent on bills is $127. ### Answer: $127
Expected answer: 127
Correct? Yes
Problem: After sharpening a number of pencils, a total of 127 bits of eraser were cut off. If 29 of them came from blue pencils, how many came from red pencils?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bits of eraser that came from red pencils. Given information: - A total of 127 bits of eraser were cut off. - 29 bits of eraser came from blue pencils. Step 1: Find the number of bits of eraser that came from pencils other than blue pencils. Total bits of eraser - Bits of eraser from blue pencils = Bits of eraser from other pencils 127 - 29 = 98 bits of eraser from other pencils Assuming that the other pencils are red, we can conclude that 98 bits of eraser came from red pencils. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Angela's watch is fast by 262 minutes. If it is showing a time that's 399 minutes later than it actually is, then how many minutes ahead was it initially set?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the time shown on Angela's watch and the actual time. Given information: - Angela's watch is fast by 262 minutes. - The watch is showing a time that's 399 minutes later than the actual time. Step 1: Find the difference between the time shown on the watch and the actual time. Time difference = 399 minutes Step 2: Subtract the amount by which the watch is fast from the time difference. Initial time set ahead = Time difference - Amount the watch is fast Initial time set ahead = 399 minutes - 262 minutes Initial time set ahead = 137 minutes Therefore, Angela's watch was initially set 137 minutes ahead. ### Answer: 137
Expected answer: 137
Correct? Yes
Problem: In a fireplace factory, a special type of fireplace is produced. If 1891 fireplaces were produced in a certain period of time and each day during that period produced 61 fireplaces, how many days did this period last?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it took to produce 1891 fireplaces, given that 61 fireplaces were produced each day. Given information: - 1891 fireplaces were produced in a certain period of time. - 61 fireplaces were produced each day during that period. We can set up an equation to represent the relationship between the total number of fireplaces produced and the number of days: Total number of fireplaces produced = Number of fireplaces produced per day × Number of days Substituting the given values, we get: 1891 = 61 × Number of days To find the number of days, we need to divide both sides of the equation by 61: Number of days = 1891 / 61 Number of days = 31 Therefore, the period lasted for 31 days. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A star in the outer space is emitting 497 units of light in total. If 266 units are perceived by our naked eye, how many units of light are only detected by special instruments?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total units of light emitted by the star and the units perceived by our naked eye. Given information: - The star is emitting a total of 497 units of light. - Our naked eye perceives 266 units of light. Step 1: Find the units of light that are not perceived by our naked eye. Units of light not perceived by our naked eye = Total units of light emitted - Units of light perceived by our naked eye Units of light not perceived by our naked eye = 497 - 266 Units of light not perceived by our naked eye = 231 units Therefore, 231 units of light from the star are only detected by special instruments. ### Answer: 231
Expected answer: 231
Correct? Yes
Problem: In a chocolate factory, a mixer made 508 kg chocolate mixture for the day. If the chocolate without the added flavorings weighted 142 kg, how much kg of flavorings did the mixer add to the chocolate?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total weight of the chocolate mixture and the weight of the chocolate without the added flavorings. Given information: - The total weight of the chocolate mixture is 508 kg. - The weight of the chocolate without the added flavorings is 142 kg. Step 1: Find the weight of the added flavorings. Weight of the added flavorings = Total weight of the chocolate mixture - Weight of the chocolate without the added flavorings Weight of the added flavorings = 508 kg - 142 kg Weight of the added flavorings = 366 kg Therefore, the mixer added 366 kg of flavorings to the chocolate. ### Answer: 366
Expected answer: 366
Correct? Yes
Problem: A butterfly has 327 spots on its wings. If we subtract 4 from the number of spots, we will get another kind of butterfly. How many spots does this new type of butterfly have?
Claude-3 Sonnet:
To solve this problem, we need to subtract 4 from the number of spots on the original butterfly's wings. Given information: - The original butterfly has 327 spots on its wings. - Subtracting 4 from the number of spots will give us a new type of butterfly. Step 1: Subtract 4 from the number of spots on the original butterfly's wings. Number of spots on the new type of butterfly = 327 - 4 Number of spots on the new type of butterfly = 323 Therefore, the new type of butterfly has 323 spots on its wings. ### Answer: 323
Expected answer: 323
Correct? Yes
Problem: The price of a luxury wristwatch is $402. If the manufacturing cost of the watch is $261, how much is the profit gained from selling the watch?
Claude-3 Sonnet:
To find the profit gained from selling the watch, we need to subtract the manufacturing cost from the selling price. Given information: - The price of the luxury wristwatch is $402. - The manufacturing cost of the watch is $261. Profit = Selling price - Manufacturing cost Profit = $402 - $261 Profit = $141 ### Answer: $141
Expected answer: 141
Correct? Yes
Problem: A house needs 4082 bricks for its front wall. If each row utilizes 157 bricks, how many rows of bricks were used to complete the wall?
Claude-3 Sonnet:
To solve this problem, we need to find the number of rows of bricks used to complete the wall by dividing the total number of bricks needed for the wall by the number of bricks used in each row. Given information: - The house needs 4082 bricks for its front wall. - Each row utilizes 157 bricks. Step 1: Divide the total number of bricks needed for the wall by the number of bricks used in each row. Number of rows = Total number of bricks / Number of bricks per row Number of rows = 4082 / 157 Step 2: Calculate the result. Number of rows = 4082 / 157 Number of rows = 26 Therefore, 26 rows of bricks were used to complete the wall. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A teacher has 344 books. If she already had 67 books and was given some more as a gift, how many books did she receive as a gift?
Claude-3 Sonnet:
To solve this problem, we need to find the number of books the teacher received as a gift. Given information: - The teacher has a total of 344 books. - The teacher already had 67 books. Step 1: Find the number of books the teacher received as a gift. Total number of books - Number of books the teacher already had = Number of books received as a gift 344 - 67 = 277 Therefore, the teacher received 277 books as a gift. ### Answer: 277
Expected answer: 277
Correct? Yes
Problem: In a police department, 524 police officers are currently on the force. If 376 of them are on duty, how many officers are off duty?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of police officers and the number of officers on duty. Given information: - There are 524 police officers in the police department. - 376 police officers are on duty. Step 1: Find the number of police officers off duty. Number of police officers off duty = Total number of police officers - Number of police officers on duty Number of police officers off duty = 524 - 376 Step 2: Calculate the number of police officers off duty. Number of police officers off duty = 524 - 376 Number of police officers off duty = 148 Therefore, 148 police officers are off duty. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: A farmer counted that he has 1190 tomatoes overall. If each of his tomato plants produced exactly 35 tomatoes, how many tomato plants does the farmer have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of tomato plants by dividing the total number of tomatoes by the number of tomatoes produced by each plant. Given information: - The farmer has a total of 1190 tomatoes. - Each tomato plant produced exactly 35 tomatoes. Step 1: Divide the total number of tomatoes by the number of tomatoes produced by each plant. Number of tomato plants = Total number of tomatoes / Number of tomatoes produced by each plant Number of tomato plants = 1190 / 35 Step 2: Calculate the result. Number of tomato plants = 1190 / 35 Number of tomato plants = 34 Therefore, the farmer has 34 tomato plants. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: In a furniture showroom, there are a total of 297 chairs. If 280 of these chairs are wooden, how many chairs are not made of wood?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of chairs and the number of wooden chairs. Given information: - Total number of chairs in the showroom = 297 - Number of wooden chairs = 280 Step 1: Find the number of chairs that are not made of wood. Number of chairs not made of wood = Total number of chairs - Number of wooden chairs Number of chairs not made of wood = 297 - 280 Number of chairs not made of wood = 17 Therefore, there are 17 chairs in the showroom that are not made of wood. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A cat catches 32 mice every day. If the cat catches a total of 1504 mice, how many days did it take the cat to catch all the mice?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it took the cat to catch 1504 mice, given that it catches 32 mice per day. Given information: - The cat catches 32 mice every day. - The cat caught a total of 1504 mice. We can set up an equation to represent the relationship between the number of days and the total number of mice caught. Let x be the number of days. Total number of mice caught = Number of mice caught per day × Number of days 1504 = 32x Dividing both sides by 32, we get: x = 1504 / 32 x = 47 Therefore, it took the cat 47 days to catch all 1504 mice. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A bubble blower machine blows 440 bubbles in one minute. If it blows 325 bubbles in the first half minute, how many bubbles does it blow in the second half minute?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bubbles blown in the second half minute. Given information: - The bubble blower machine blows 440 bubbles in one minute. - It blows 325 bubbles in the first half minute. Step 1: Find the number of bubbles blown in the second half minute. Number of bubbles blown in one minute - Number of bubbles blown in the first half minute = Number of bubbles blown in the second half minute 440 - 325 = 115 Therefore, the bubble blower machine blows 115 bubbles in the second half minute. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: A truck has a total weight capacity of 430 kg. If 261 kg is already being used up, how much more weight can it carry?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining weight capacity of the truck. Given information: - The total weight capacity of the truck is 430 kg. - The weight already being used up is 261 kg. Step 1: Find the remaining weight capacity of the truck. Remaining weight capacity = Total weight capacity - Weight already being used up Remaining weight capacity = 430 kg - 261 kg Remaining weight capacity = 169 kg Therefore, the truck can carry 169 kg more weight. ### Answer: 169
Expected answer: 169
Correct? Yes
Problem: If a cheesemaker has 554 kilograms of cheese and it includes 156 kilograms of cheddar cheese, how many kilograms of the remaining cheese is not cheddar cheese?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total amount of cheese and the amount of cheddar cheese. Given information: - The cheesemaker has 554 kilograms of cheese in total. - The amount of cheddar cheese is 156 kilograms. Step 1: Find the amount of cheese that is not cheddar cheese. Amount of cheese that is not cheddar cheese = Total amount of cheese - Amount of cheddar cheese Amount of cheese that is not cheddar cheese = 554 kilograms - 156 kilograms Amount of cheese that is not cheddar cheese = 398 kilograms Therefore, the amount of cheese that is not cheddar cheese is 398 kilograms. ### Answer: 398
Expected answer: 398
Correct? Yes
Problem: A dairy farm has 433 cows in total. If 71 of them are still calves, how many of them are fully grown adult cows?
Claude-3 Sonnet:
To solve this problem, we need to find the number of adult cows by subtracting the number of calves from the total number of cows. Given information: - The dairy farm has a total of 433 cows. - 71 of the cows are calves. Step 1: Subtract the number of calves from the total number of cows to find the number of adult cows. Number of adult cows = Total number of cows - Number of calves Number of adult cows = 433 - 71 Number of adult cows = 362 Therefore, there are 362 fully grown adult cows on the dairy farm. ### Answer: 362
Expected answer: 362
Correct? Yes
Problem: In a wind-turbine farm, there's a turbine which is able to generate 8640 kWh of electricity everyday when wind speed is steady at 45 kph. How many kWh does each kph of wind speed generate?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between wind speed and electricity generation. Given information: - The turbine generates 8640 kWh of electricity every day when the wind speed is steady at 45 kph. We can set up a proportion to find the amount of electricity generated per kph of wind speed. Let x be the amount of electricity generated per kph of wind speed. We can write the proportion as: 45 kph : 8640 kWh = 1 kph : x kWh Cross-multiplying, we get: 45x = 8640 Solving for x: x = 8640 / 45 x = 192 kWh Therefore, each kph of wind speed generates 192 kWh of electricity. ### Answer: 192
Expected answer: 192
Correct? Yes
Problem: A crayon factory is running a special production line that produces 5040 crayons in one day by operating for 't' hours. If the factory machine can produce 45 crayons every hour, for how many hours was the machine operating?
Claude-3 Sonnet:
To solve this problem, we need to find the value of 't' (the number of hours the machine was operating) by setting up an equation using the given information. Given information: - The factory machine produces 5040 crayons in one day by operating for 't' hours. - The factory machine can produce 45 crayons every hour. Let's set up an equation: Total crayons produced = Production rate × Number of hours 5040 = 45 × t Dividing both sides by 45, we get: t = 5040 / 45 t = 112 Therefore, the factory machine was operating for 112 hours to produce 5040 crayons. ### Answer: 112
Expected answer: 112
Correct? Yes
Problem: In a hat store, there are 298 hats in total. If 201 of those hats are baseball hats, how many are not baseball hats?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hats that are not baseball hats. Given information: - There are 298 hats in total. - 201 of those hats are baseball hats. To find the number of hats that are not baseball hats, we need to subtract the number of baseball hats from the total number of hats. Number of hats that are not baseball hats = Total number of hats - Number of baseball hats Number of hats that are not baseball hats = 298 - 201 Number of hats that are not baseball hats = 97 Therefore, there are 97 hats that are not baseball hats in the hat store. ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: A particular type of cucumber plant produces 242 cucumbers. If each plant has 22 fruits, how many plants are there?
Claude-3 Sonnet:
To solve this problem, we need to find the number of plants given the total number of cucumbers and the number of cucumbers per plant. Given information: - The total number of cucumbers produced is 242. - Each plant produces 22 cucumbers. We can set up an equation to represent the relationship between the number of plants and the total number of cucumbers. Let x be the number of plants. Total number of cucumbers = Number of cucumbers per plant × Number of plants 242 = 22x Dividing both sides by 22, we get: x = 242 / 22 x = 11 Therefore, there are 11 plants. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A city received 750 millimeters of rainfall during the monsoon season. If, in the first half of the season, there were 359 millimeters of rainfall, how much rainfall did the city receive in the second half of the season?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total rainfall during the monsoon season and the rainfall in the first half of the season. Given information: - Total rainfall during the monsoon season = 750 millimeters - Rainfall in the first half of the season = 359 millimeters Step 1: Find the rainfall in the second half of the season. Rainfall in the second half of the season = Total rainfall - Rainfall in the first half Rainfall in the second half of the season = 750 millimeters - 359 millimeters Rainfall in the second half of the season = 391 millimeters Therefore, the city received 391 millimeters of rainfall in the second half of the monsoon season. ### Answer: 391
Expected answer: 391
Correct? Yes
Problem: The weight of a fully inflated balloon is 573 grams. If the weight of the balloon itself is 254 grams, what is the weight of the air inside the balloon?
Claude-3 Sonnet:
To find the weight of the air inside the balloon, we need to subtract the weight of the balloon itself from the total weight of the fully inflated balloon. Given information: - Weight of the fully inflated balloon = 573 grams - Weight of the balloon itself = 254 grams Step 1: Subtract the weight of the balloon itself from the weight of the fully inflated balloon. Weight of the air inside the balloon = Weight of the fully inflated balloon - Weight of the balloon itself Weight of the air inside the balloon = 573 grams - 254 grams Weight of the air inside the balloon = 319 grams Therefore, the weight of the air inside the balloon is 319 grams. ### Answer: 319
Expected answer: 319
Correct? Yes
Problem: A balloon seller just inflated a new batch of balloons, bringing the total number of balloons to 434. If the seller had 179 balloons already, how many new balloons did they inflate?
Claude-3 Sonnet:
To solve this problem, we need to find the number of new balloons inflated by the balloon seller. Given information: - The total number of balloons after inflating the new batch is 434. - The seller had 179 balloons before inflating the new batch. Step 1: Find the number of new balloons inflated. Number of new balloons inflated = Total number of balloons after inflating - Number of balloons before inflating Number of new balloons inflated = 434 - 179 Number of new balloons inflated = 255 Therefore, the balloon seller inflated 255 new balloons. ### Answer: 255
Expected answer: 255
Correct? Yes
Problem: A bus operator counted 631 passengers in total today. If 362 passengers boarded the bus in the morning, how many passengers boarded the bus in the afternoon?
Claude-3 Sonnet:
To solve this problem, we need to find the number of passengers who boarded the bus in the afternoon by subtracting the number of passengers who boarded in the morning from the total number of passengers. Given information: - The total number of passengers counted today is 631. - The number of passengers who boarded the bus in the morning is 362. Step 1: Find the number of passengers who boarded the bus in the afternoon. Number of passengers who boarded in the afternoon = Total number of passengers - Number of passengers who boarded in the morning Number of passengers who boarded in the afternoon = 631 - 362 Number of passengers who boarded in the afternoon = 269 Therefore, 269 passengers boarded the bus in the afternoon. ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: If you added 8 liters of blue paint to some amount of yellow paint to make 280 liters of green paint, how many liters of yellow paint did you use?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of yellow paint used to make 280 liters of green paint when combined with 8 liters of blue paint. Given information: - 8 liters of blue paint were added. - The total amount of green paint produced is 280 liters. We can assume that the volume of the mixture (green paint) is the sum of the volumes of the individual components (blue paint and yellow paint). Let x be the amount of yellow paint used in liters. Volume of blue paint + Volume of yellow paint = Total volume of green paint 8 liters + x liters = 280 liters x = 280 - 8 x = 272 liters Therefore, 272 liters of yellow paint were used to make 280 liters of green paint when combined with 8 liters of blue paint. ### Answer: 272
Expected answer: 272
Correct? Yes
Problem: Through a telescope, an astronomer spots 419 celestial bodies in the sky. If 132 of those bodies are discovered to be stars, how many bodies are not stars?
Claude-3 Sonnet:
To solve this problem, we need to find the number of celestial bodies that are not stars. Given information: - The astronomer spotted a total of 419 celestial bodies in the sky. - 132 of those bodies are stars. To find the number of bodies that are not stars, we need to subtract the number of stars from the total number of celestial bodies. Step 1: Subtract the number of stars from the total number of celestial bodies. Number of bodies that are not stars = Total number of celestial bodies - Number of stars Number of bodies that are not stars = 419 - 132 Number of bodies that are not stars = 287 Therefore, 287 celestial bodies are not stars. ### Answer: 287
Expected answer: 287
Correct? Yes
Problem: In a wild, one lion is eating 147 pounds of food each week. If the total amount of food eaten in four weeks is 588 pounds, how many weeks is accounted for?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the amount of food eaten by one lion in a week and the total amount of food eaten in four weeks. Given information: - One lion eats 147 pounds of food each week. - The total amount of food eaten in four weeks is 588 pounds. Step 1: Find the amount of food eaten by one lion in four weeks. Amount of food eaten by one lion in four weeks = Amount of food eaten by one lion in one week × 4 Amount of food eaten by one lion in four weeks = 147 pounds × 4 Amount of food eaten by one lion in four weeks = 588 pounds Step 2: Compare the amount of food eaten by one lion in four weeks with the total amount of food eaten in four weeks. Amount of food eaten by one lion in four weeks = Total amount of food eaten in four weeks 588 pounds = 588 pounds Since the amount of food eaten by one lion in four weeks is equal to the total amount of food eaten in four weeks, it means that the given information accounts for four weeks. Therefore, the number of weeks accounted for is 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: John earns money by babysitting. He babysitted for 30 hours and earned a total of 4440 dollars. How much does he earn per hour?
Claude-3 Sonnet:
To solve this problem, we need to divide the total amount of money earned by the number of hours worked. Given information: - John worked for 30 hours. - John earned a total of $4,440. Step 1: Divide the total amount earned by the number of hours worked. Amount earned per hour = Total amount earned / Number of hours worked Amount earned per hour = $4,440 / 30 hours Amount earned per hour = $148 Therefore, John earns $148 per hour for babysitting. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: If a cow produces 3360 pounds of milk over a period of time and the average amount of milk the cow produces per day is 120 pounds, how many days was the milk collected for?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it took for the cow to produce 3360 pounds of milk, given that the average amount of milk produced per day is 120 pounds. Given information: - The cow produced a total of 3360 pounds of milk. - The average amount of milk produced per day is 120 pounds. We can set up an equation to find the number of days: Total milk produced = Average milk produced per day × Number of days 3360 pounds = 120 pounds × Number of days Dividing both sides by 120 pounds, we get: Number of days = 3360 pounds / 120 pounds Number of days = 28 days Therefore, the milk was collected for 28 days. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A tiger sanctuary has a total of 380 tigers. If 81 of them are Siberian tigers, how many are non-Siberian tigers?
Claude-3 Sonnet:
To solve this problem, we need to find the number of non-Siberian tigers by subtracting the number of Siberian tigers from the total number of tigers. Given information: - The tiger sanctuary has a total of 380 tigers. - 81 of them are Siberian tigers. Step 1: Find the number of non-Siberian tigers. Number of non-Siberian tigers = Total number of tigers - Number of Siberian tigers Number of non-Siberian tigers = 380 - 81 Number of non-Siberian tigers = 299 Therefore, there are 299 non-Siberian tigers in the tiger sanctuary. ### Answer: 299
Expected answer: 299
Correct? Yes
Problem: A wind turbine generated 361 kilowatts of electricity in a day. During the morning, it generated 151 kilowatts. How many kilowatts were generated by the wind turbine in the afternoon?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total electricity generated in a day and the electricity generated in the morning. Given information: - The wind turbine generated 361 kilowatts of electricity in a day. - During the morning, it generated 151 kilowatts. Step 1: Find the electricity generated in the afternoon. Electricity generated in the afternoon = Total electricity generated in a day - Electricity generated in the morning Electricity generated in the afternoon = 361 kilowatts - 151 kilowatts Electricity generated in the afternoon = 210 kilowatts Therefore, the wind turbine generated 210 kilowatts of electricity in the afternoon. ### Answer: 210
Expected answer: 210
Correct? Yes
Problem: In a city, the total rainfall over the course of a month was 76mm. If it rained 41mm in the first half of the month, how much did it rain in the second half of the month?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total rainfall and the rainfall in the first half of the month. Given information: - Total rainfall over the course of a month = 76 mm - Rainfall in the first half of the month = 41 mm Step 1: Find the rainfall in the second half of the month. Rainfall in the second half of the month = Total rainfall - Rainfall in the first half of the month Rainfall in the second half of the month = 76 mm - 41 mm Rainfall in the second half of the month = 35 mm Therefore, it rained 35 mm in the second half of the month. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: The local park has installed 30 new benches. If the total cost of installation was $6690, what was the cost to install each bench?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of installing each bench by dividing the total cost by the number of benches installed. Given information: - The local park installed 30 new benches. - The total cost of installation was $6690. Step 1: Divide the total cost by the number of benches installed. Cost of installing each bench = Total cost / Number of benches Cost of installing each bench = $6690 / 30 Cost of installing each bench = $223 Therefore, the cost to install each bench was $223. ### Answer: $223
Expected answer: 223
Correct? Yes
Problem: A mermaid found a treasure chest containing 4554 pearls. If she found 46 pearls each time she dived, how many times did she dive to collect all the pearls?
Claude-3 Sonnet:
To solve this problem, we need to find how many times the mermaid dived to collect all the pearls from the treasure chest. Given information: - The treasure chest contained 4554 pearls. - The mermaid found 46 pearls each time she dived. Step 1: Find the number of dives required to collect all the pearls. Number of dives required = Total number of pearls / Number of pearls collected per dive Number of dives required = 4554 / 46 Step 2: Perform the division. 4554 / 46 = 99 Therefore, the mermaid dived 99 times to collect all the pearls from the treasure chest. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?
Claude-3 Sonnet:
To solve this problem, we need to find the number of butterflies that are not painted lady butterflies. Given information: - There are 62 beautiful butterflies in the garden. - 28 of them are painted lady butterflies. To find the number of butterflies that are not painted lady butterflies, we need to subtract the number of painted lady butterflies from the total number of butterflies. Number of butterflies that are not painted lady butterflies = Total number of butterflies - Number of painted lady butterflies Number of butterflies that are not painted lady butterflies = 62 - 28 Number of butterflies that are not painted lady butterflies = 34 Therefore, there are 34 butterflies in the garden that are not painted lady butterflies. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: Princess Serena has a total of 644 charms in her collection. If she gained 310 silver charms over the last year, how many gold charms did she already have in her collection?
Claude-3 Sonnet:
To solve this problem, we need to find the number of gold charms Serena already had in her collection before gaining the 310 silver charms. Given information: - Serena has a total of 644 charms in her collection. - She gained 310 silver charms over the last year. Let's represent the number of gold charms she already had as x. Since the total number of charms is 644, and she gained 310 silver charms, we can write the equation: x + 310 = 644 Solving for x: x = 644 - 310 x = 334 Therefore, Serena already had 334 gold charms in her collection before gaining the 310 silver charms. ### Answer: 334
Expected answer: 334
Correct? Yes
Problem: One of Mary's bracelets is made out of individual pieces, and she counted that there are 276 pieces in total. If Mary only adds pieces in sets of 4, what was the original count of pieces before she added the last set?
Claude-3 Sonnet:
To solve this problem, we need to find the largest multiple of 4 that is less than or equal to 276, and then subtract it from 276 to find the original count of pieces before adding the last set. Given information: - Mary's bracelet has a total of 276 pieces. - Mary adds pieces in sets of 4. Step 1: Find the largest multiple of 4 that is less than or equal to 276. 276 ÷ 4 = 69 69 × 4 = 276 Step 2: Subtract the largest multiple of 4 from 276 to find the original count of pieces before adding the last set. 276 - 276 = 0 Therefore, the original count of pieces before adding the last set was 272 (276 - 4). ### Answer: 272
Expected answer: 272
Correct? Yes
Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?
Claude-3 Sonnet:
To solve this problem, we need to find the number of dolls that are not porcelain by subtracting the number of porcelain dolls from the total number of dolls. Given information: - The doll collector has a total of 716 dolls. - 380 of those dolls are porcelain dolls. Step 1: Subtract the number of porcelain dolls from the total number of dolls. Number of dolls that are not porcelain = Total number of dolls - Number of porcelain dolls Number of dolls that are not porcelain = 716 - 380 Number of dolls that are not porcelain = 336 Therefore, the number of dolls that are not porcelain is 336. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: A music store has 456 guitars in total. If 228 of those guitars are electric, how many of the guitars are acoustic?
Claude-3 Sonnet:
To solve this problem, we need to find the number of acoustic guitars by subtracting the number of electric guitars from the total number of guitars. Given information: - The music store has a total of 456 guitars. - 228 of those guitars are electric. Step 1: Subtract the number of electric guitars from the total number of guitars. Number of acoustic guitars = Total number of guitars - Number of electric guitars Number of acoustic guitars = 456 - 228 Step 2: Calculate the number of acoustic guitars. Number of acoustic guitars = 456 - 228 Number of acoustic guitars = 228 Therefore, the number of acoustic guitars in the music store is 228. ### Answer: 228
Expected answer: 228
Correct? Yes
Problem: At the base of a mountain, hikers start at an elevation of 103 meters. By the end of their climb, they reach a total elevation of 457 meters. How many meters did the hikers climb?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final elevation and the starting elevation. Given information: - The starting elevation at the base of the mountain is 103 meters. - The final elevation after the climb is 457 meters. Step 1: Find the difference between the final elevation and the starting elevation. Final elevation - Starting elevation = Elevation climbed 457 meters - 103 meters = 354 meters Therefore, the hikers climbed 354 meters. ### Answer: 354
Expected answer: 354
Correct? Yes
Problem: In a castle, there are 264 total rooms. If 234 of those rooms are occupied, how many rooms are unoccupied?
Claude-3 Sonnet:
To find the number of unoccupied rooms, we need to subtract the number of occupied rooms from the total number of rooms. Given information: - Total number of rooms in the castle = 264 - Number of occupied rooms = 234 Number of unoccupied rooms = Total number of rooms - Number of occupied rooms Number of unoccupied rooms = 264 - 234 Number of unoccupied rooms = 30 Therefore, there are 30 unoccupied rooms in the castle. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In a ball factory, the number of soccer balls is 359. If that number includes 286 made yesterday, how many were made today?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of soccer balls and the number of soccer balls made yesterday. Given information: - The total number of soccer balls in the factory is 359. - The number of soccer balls made yesterday is 286. Step 1: Find the number of soccer balls made today. Number of soccer balls made today = Total number of soccer balls - Number of soccer balls made yesterday Number of soccer balls made today = 359 - 286 Number of soccer balls made today = 73 Therefore, 73 soccer balls were made today in the ball factory. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: There are 326 beach balls at a seaside resort. If one part of the beach already has 246 beach balls, how many beach balls are there in the other part?
Claude-3 Sonnet:
To solve this problem, we need to find the number of beach balls in the other part by subtracting the number of beach balls in the first part from the total number of beach balls. Given information: - There are 326 beach balls at the seaside resort. - One part of the beach already has 246 beach balls. Step 1: Find the number of beach balls in the other part. Number of beach balls in the other part = Total number of beach balls - Number of beach balls in the first part Number of beach balls in the other part = 326 - 246 Number of beach balls in the other part = 80 Therefore, there are 80 beach balls in the other part of the beach. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: There are 9287 passengers that took the bus this week. If each bus can carry 251 passengers, how many buses were needed to carry all the passengers?
Claude-3 Sonnet:
To solve this problem, we need to find out how many buses are required to carry all the passengers. Given information: - There are 9287 passengers. - Each bus can carry 251 passengers. Step 1: Find the number of buses needed by dividing the total number of passengers by the capacity of each bus. Number of buses needed = Total number of passengers / Capacity of each bus Number of buses needed = 9287 / 251 Step 2: Since we cannot have a fractional number of buses, we need to round up the result to the nearest whole number. Number of buses needed = 9287 / 251 Number of buses needed = 37.0 (rounded up to the nearest whole number) Number of buses needed = 37 Therefore, 37 buses were needed to carry all the 9287 passengers. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: A farmer harvested 438 cucumbers in total. If he previously harvested 69 cucumbers, how many cucumbers did he harvest this time?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cucumbers the farmer harvested this time by subtracting the previously harvested cucumbers from the total number of cucumbers harvested. Given information: - The farmer harvested a total of 438 cucumbers. - The farmer previously harvested 69 cucumbers. Step 1: Subtract the previously harvested cucumbers from the total number of cucumbers harvested. Number of cucumbers harvested this time = Total cucumbers harvested - Previously harvested cucumbers Number of cucumbers harvested this time = 438 - 69 Number of cucumbers harvested this time = 369 Therefore, the farmer harvested 369 cucumbers this time. ### Answer: 369
Expected answer: 369
Correct? Yes
Problem: In a warehouse, there are 424 chairs. If 208 chairs are already loaded onto the truck, how many chairs are left in the warehouse to be loaded?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of chairs in the warehouse and the number of chairs already loaded onto the truck. Given information: - There are 424 chairs in the warehouse. - 208 chairs are already loaded onto the truck. Step 1: Find the number of chairs left in the warehouse. Number of chairs left in the warehouse = Total number of chairs - Number of chairs loaded onto the truck Number of chairs left in the warehouse = 424 - 208 Number of chairs left in the warehouse = 216 Therefore, there are 216 chairs left in the warehouse to be loaded. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: Superhero Flash can run 198 miles in an hour. If the total miles he can run is increased by 19 miles per hour compared to his previous speed, what was his previous speed?
Claude-3 Sonnet:
To solve this problem, we need to set up an equation and solve for the previous speed. Given information: - Flash's current speed is 198 miles per hour. - The total miles he can run is increased by 19 miles per hour compared to his previous speed. Let's represent Flash's previous speed as x miles per hour. According to the given information, we can write the equation: x + 19 = 198 Solving for x: x + 19 = 198 x = 198 - 19 x = 179 Therefore, Flash's previous speed was 179 miles per hour. ### Answer: 179
Expected answer: 179
Correct? Yes
Problem: On a farm, there are a total of 727 animals. If 342 of those animals are chickens, how many animals are not chickens?
Claude-3 Sonnet:
To solve this problem, we need to find the number of animals that are not chickens. Given information: - There are a total of 727 animals on the farm. - 342 of those animals are chickens. Step 1: Find the number of animals that are not chickens. Number of animals that are not chickens = Total number of animals - Number of chickens Number of animals that are not chickens = 727 - 342 Number of animals that are not chickens = 385 Therefore, there are 385 animals on the farm that are not chickens. ### Answer: 385
Expected answer: 385
Correct? Yes
Problem: A chocolate factory has a daily production of 385 chocolate bars. If 230 bars are dark chocolate, how many bars are milk chocolate?
Claude-3 Sonnet:
To solve this problem, we need to find the number of milk chocolate bars by subtracting the number of dark chocolate bars from the total daily production. Given information: - The daily production of chocolate bars is 385. - The number of dark chocolate bars is 230. Step 1: Find the number of milk chocolate bars. Number of milk chocolate bars = Total daily production - Number of dark chocolate bars Number of milk chocolate bars = 385 - 230 Step 2: Calculate the number of milk chocolate bars. Number of milk chocolate bars = 385 - 230 Number of milk chocolate bars = 155 Therefore, the number of milk chocolate bars produced daily is 155. ### Answer: 155
Expected answer: 155
Correct? Yes
Problem: The initial altitude of a mountain is 289 meters above sea level but after some tectonic activity, it is now 357 meters above sea level. By how many meters did the altitude increase after the tectonic activity?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final altitude and the initial altitude of the mountain. Given information: - The initial altitude of the mountain was 289 meters above sea level. - The final altitude of the mountain after the tectonic activity is 357 meters above sea level. Step 1: Find the difference between the final altitude and the initial altitude. Final altitude - Initial altitude = Increase in altitude 357 meters - 289 meters = 68 meters Therefore, the altitude of the mountain increased by 68 meters after the tectonic activity. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: If a zoo needs 4572 pounds of food to feed every monkey over a month and every single monkey eats 36 pounds of food in a month, how many monkeys are there in the zoo?
Claude-3 Sonnet:
To solve this problem, we need to find the number of monkeys in the zoo by dividing the total amount of food needed by the amount of food each monkey eats in a month. Given information: - The zoo needs 4572 pounds of food to feed every monkey over a month. - Each monkey eats 36 pounds of food in a month. Step 1: Divide the total amount of food needed by the amount of food each monkey eats in a month. Number of monkeys = Total amount of food needed / Amount of food each monkey eats in a month Number of monkeys = 4572 pounds / 36 pounds per monkey Step 2: Perform the division. Number of monkeys = 4572 pounds / 36 pounds per monkey Number of monkeys = 127 monkeys Therefore, there are 127 monkeys in the zoo. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: A doll house can hold 16 dolls in each room. If it can house a total of 832 dolls, how many rooms are in the doll house?
Claude-3 Sonnet:
To solve this problem, we need to find the number of rooms in the doll house by dividing the total number of dolls it can house by the number of dolls each room can hold. Given information: - Each room in the doll house can hold 16 dolls. - The doll house can house a total of 832 dolls. Step 1: Divide the total number of dolls by the number of dolls each room can hold. Number of rooms = Total number of dolls / Number of dolls per room Number of rooms = 832 / 16 Number of rooms = 52 Therefore, the doll house has 52 rooms. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the selling price of the watch and its manufacturing cost. Given information: - Selling price of the watch = $422 - Manufacturing cost of the watch = $200 Step 1: Find the difference between the selling price and the manufacturing cost. Difference = Selling price - Manufacturing cost Difference = $422 - $200 Difference = $222 This difference of $222 accounts for the brand value, sales profits, and other overheads. Therefore, the amount charged for brand value, sales profits, and other overheads is $222. ### Answer: $222
Expected answer: 222
Correct? Yes