Common Core Standard 4.MD.A.2-fraction
This standard covers the following:
Use the four operations to solve word problems involving distances, Intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Problem: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?
CodeLlama 13B:
Reasoning: Steve spent his 38 dollars evenly over 8 days, so he spent 38/8 = <<38/8=4.75>>4.75 dollars per day. John spent the same amount of money as Steve had, which is 4.75 dollars per day. John found 25 dollars on the street, so he now has 18 + 25 = <<18+25=43>>43 dollars. ### Answer: 43 dollars
Expected answer: 109/4
Correct? No
Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?
CodeLlama 13B:
Reasoning: You have $45 in your wallet, and you find a coin worth $27/30. You have $45 + $27/30 = <<$45 + $27/30=62/30>>62/30 dollars in total. ### Answer: 62/30
Expected answer: 459/10
Correct? No
Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?
CodeLlama 13B:
Reasoning: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. Total amount of money John has = $17 + $8/37 = <<$17 + $8/37=$25.28>>$25.28. ### Answer: $25.28
Expected answer: 637/37
Correct? No
Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?
CodeLlama 13B:
Reasoning: 1. Sally initially traveled 47/50 of a mile, which is equal to 0.94 miles. 2. She then gained confidence and traveled another 31 miles, which is equal to 31 miles. 3. For the next 28 days, she completed the same distance, which is equal to 28 x 0.94 miles = 26.32 miles. 4. She decided to detour and added an extra 32/24 miles to her regular bike route, which is equal to 32/24 x 0.94 miles = 0.94 miles. 5. The total distance traveled by Sally is the sum of the initial distance, the extra distance, and the total distance traveled for the next 28 days, which is equal to 0.94 + 31 + 26.32 + 0.94 = 68.26 miles. ### Answer: 68.26 miles.
Expected answer: 67174/75
Correct? No
Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?
CodeLlama 13B:
Reasoning: The train travels at a steady speed of 47 miles per hour, so it covers a distance of 47 miles in 4 hours. Distance = Speed x Time Distance = 47 miles/hour x 4 hours Distance = 188 miles ### Answer: 188 miles
Expected answer: 188
Correct? Yes
Problem: If instead of traveling for 4 hours initially, the train had traveled for 18 hours at the same speed of 47 miles per hour, how far would the train have traveled in that time?
CodeLlama 13B:
Reasoning: The train travels at a steady speed of 47 miles per hour, so it covers a distance of 47 miles in 1 hour. Distance = Speed x Time Distance = 47 miles/hour x 18 hours Distance = 828 miles ### Answer: 828 miles
Expected answer: 846
Correct? No
Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?
CodeLlama 13B:
Reasoning: The truck can travel a distance of 34/25 kilometers on a liter of fuel. To find the total distance the truck can travel before running out of fuel, we need to find the number of liters of fuel required to travel the additional 11 kilometers. 11 kilometers / 34/25 kilometers per liter = 11/34 = 0.3125 liters Therefore, the truck can travel 34/25 kilometers + 11/34 kilometers = 34/25 kilometers + 0.3125 kilometers = 34.3125 kilometers before running out of fuel. To find the total distance the truck can travel after adding an additional 49 kilometers to the journey, we need to find the number of liters of fuel required to travel the additional 49 kilometers. 49 kilometers / 34/25 kilometers per liter = 49/34 = 1.4286 liters Therefore, the truck can travel 34.3125 kilometers + 1.4286 kilometers = 35.7411 kilometers before running out of fuel. ### Answer: 35.7411 kilometers
Expected answer: 1534/25
Correct? No
Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?
CodeLlama 13B:
Reasoning: Let's first find the speed increase caused by the energy drink. We know that the energy drink increased his speed by 50/49 miles per hour, so we can set up the equation: Speed with energy drink = Speed without energy drink + (Speed without energy drink x 50/49) We can simplify this equation by combining like terms: Speed with energy drink = Speed without energy drink + (Speed without energy drink x 1.25) Now, we know that John's speed without the energy drink is 4/22 miles per hour, so we can substitute this value into the equation: Speed with energy drink = 4/22 + (4/22 x 1.25) Simplifying the equation: Speed with energy drink = 4/22 + 1.25 Solving for the speed with energy drink: Speed with energy drink = 5.25/22 Now, we know that John continued to jog for 46/30 hours. We can set up the equation: Total distance jogged = Speed with energy drink x Time Substituting the value we found earlier: Total distance jogged = 5.25/22 x 46/30 Simplifying the equation: Total distance jogged = 2.31 miles ### Answer: 2.31 miles
Expected answer: 4968/2695
Correct? No
Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?
CodeLlama 13B:
Reasoning: The truck driver starts with 9 gallons of gas in his tank. He adds 21/36 gallons of gas to his tank at the first station, so he now has 9 + (21/36) = 9 + 3/6 = 11/6 gallons of gas. He adds 26/42 gallons of gas to his tank at the second station, so he now has 11/6 + (26/42) = 11/6 + 26/42 = 37/24 gallons of gas. Therefore, the truck driver has 37/24 gallons of gas in his tank now. ### Answer: 37/24 gallons
Expected answer: 857/84
Correct? No
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?
CodeLlama 13B:
Reasoning: John has 6 dollars in his pocket, and he earns an additional 47/8 dollars from mowing his neighbor's lawn. To find the total amount of money John has, we need to add the 6 dollars he had in his pocket to the 47/8 dollars he earned. 6 + 47/8 = 6 + 5.875 = 11.875 So, John now has a total of 11.875 dollars. ### Answer: 11.875
Expected answer: 95/8
Correct? Yes
Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?
CodeLlama 13B:
Reasoning: Matthew had $29 saved up before buying the toy robot. He spent $5 on the toy robot, so he now has $29 - $5 = $24 left. Matthew received $8 from his grandmother for his birthday, so he now has $24 + $8 = $32. ### Answer: $32
Expected answer: 32
Correct? Yes
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
CodeLlama 13B:
Reasoning: The cost of 9 barrels of oil is 9 x $16 = <<9 x $16=144>>144 dollars. ### Answer: 144
Expected answer: 144
Correct? Yes
Problem: If the cost of a barrel of oil increases to $30, how much would it now cost for the refinery to buy the same 9 barrels of oil?
CodeLlama 13B:
Reasoning: The cost of 9 barrels of oil would now be 9 x $30 = <<9 x $30=270>>270 dollars. ### Answer: 270
Expected answer: 270
Correct? Yes
Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?
CodeLlama 13B:
Reasoning: 1. Amy's original garden length is 11 feet. 2. She plans to expand it by 30 more feet, so the new length will be 11 + 30 = 41 feet. 3. She then decides to further extend the garden by the length equivalent to 30 divided by 13 feet. 4. 30 divided by 13 is 2.307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307
Expected answer: 563/13
Correct? No
Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?
CodeLlama 13B:
Reasoning: The supermarket is (25 / 41) miles closer to John's work than his house. This means that the distance from John's work to the supermarket is (17 / 3) miles - (25 / 41) miles = (17 / 3) - (25 / 41) miles = (17 - 25) / 3 = -8 / 3 miles. Therefore, the supermarket is 8 miles away from John's work. ### Answer: 8 miles
Expected answer: 622/123
Correct? No
Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?
CodeLlama 13B:
Reasoning: The bank had $12 in one-dollar bills before the deposit. After receiving the deposit, the bank now has $12 + $36 = $48. After paying out $8, the bank has $48 - $8 = $40. Therefore, the bank now has $40 in one-dollar bills. ### Answer: $40
Expected answer: 40
Correct? Yes
Problem: Following the previous scenario, suppose the bank received an uncommon payment of $19/11. How much money does the bank have now in one-dollar bills after this unusual deposit?
CodeLlama 13B:
Reasoning: The bank had $40 in one-dollar bills before the deposit. After receiving the deposit, the bank now has $40 + $19/11 = $40 + $1.77 = $41.77. Therefore, the bank now has $41.77 in one-dollar bills. ### Answer: $41.77
Expected answer: 459/11
Correct? No
Problem: Following the previous scenario, suppose the bank had originally started with $12 in one-dollar bills. But this time, they received a smaller deposit of $22 instead of $36. After paying out the same $8, how much would the bank now have in one-dollar bills in this revised situation?
CodeLlama 13B:
Reasoning: The bank had $12 in one-dollar bills before the deposit. After receiving the deposit, the bank now has $12 + $22 = $34. After paying out $8, the bank has $34 - $8 = $26. Therefore, the bank now has $26 in one-dollar bills. ### Answer: $26
Expected answer: 26
Correct? Yes
Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?
CodeLlama 13B:
Reasoning: Samantha had $28 in her bank account before. She found $46/41 dollars on the street and added it to her savings. Samantha's new total savings = $28 + $46/41 = <<$28 + $46/41 = $30.67>>$30.67. ### Answer: $30.67
Expected answer: 1194/41
Correct? No
Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?
CodeLlama 13B:
Reasoning: James had $37 and his little brother gave him 14/19 of a dollar, which is equal to 14/19 x $1 = $0.79. So, James now has $37 + $0.79 = $37.79. ### Answer: $37.79
Expected answer: 717/19
Correct? No
Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?
CodeLlama 13B:
Reasoning: Sophia spends 40 dollars every 28 days, which means she spends 40/28 = <<40/28=1.379>>1.379 dollars every day to fill up her car's fuel tank. ### Answer: 1.379 dollars per day
Expected answer: 10/7
Correct? No
Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?
CodeLlama 13B:
Reasoning: 1. Roberto has 50 ounces of juice. 2. He splits the juice into 17 equal parts, so each part has 50/17 = <<50/17=2.94>>2.94 ounces of juice. 3. He takes the juice from one part and pours it into a container. 4. The container now has 2.94 ounces of juice. 5. He then takes 34/44 of what is in the container and pours it into another container. 6. The second container now has 34/44 \* 2.94 = <<34/44*2.94=1.07>>1.07 ounces of juice. Therefore, the second container now has 1.07 ounces of juice. ### Answer: 1.07 ounces
Expected answer: 25/11
Correct? No
Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?
CodeLlama 13B:
Reasoning: John has $29 and needs $11 to buy the game. He has $29 + $11 = $40. Every week, John can save 20/48 of the money he needs, which is $20/48 = $4. After a certain period of time, John decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. Let's assume that John has saved $x after a year. The investment account promises a return of 41/11 times the money invested, so the return on investment is $41/11 \* $x. We know that John has saved $x after a year, so the total amount of money in the investment account is $x + $41/11 \* $x. Simplifying, we get $x + $41/11 \* $x = $x(1 + $41/11) = $x(11/11) = $x. Therefore, John will have $x in his investment account after a year. ### Answer: $x
Expected answer: 205/12
Correct? No
Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?
CodeLlama 13B:
Reasoning: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. Maria spends 32/15 euros on the candy bar. Maria has 13/3 - 32/15 = <<13/3 - 32/15=1/3>>1/3 euros left. ### Answer: 1/3 euros.
Expected answer: 11/5
Correct? No
Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?
CodeLlama 13B:
Reasoning: Each piece of lumber is 45/44 meters long, so 20 pieces would be 20 x 45/44 = <<20 x 45/44=900/44>>900/44 meters long. ### Answer: 900/44 meters
Expected answer: 225/11
Correct? Yes
Problem: Continuing from the previous problem, if the carpenter decided to cut each resulting piece again into 25/34 meter pieces, how long would 20 pieces of this newly cut lumber be in total?
CodeLlama 13B:
Reasoning: Each piece of lumber is 45/44 meters long, so 20 pieces would be 20 x 45/44 = <<20 x 45/44=900/44>>900/44 meters long. If the carpenter cuts each piece into 25/34 meter pieces, then each piece of the newly cut lumber would be 25/34 x 45/44 = <<25/34 x 45/44=1125/133>>1125/133 meters long. Therefore, 20 pieces of the newly cut lumber would be 20 x 1125/133 = <<20 x 1125/133=2250/133>>2250/133 meters long. ### Answer: 2250/133 meters
Expected answer: 5625/374
Correct? No
Problem: In the previous scenario, instead of having each piece of lumber measured at 45/44 meters, what if the carpenter decided to cut each piece of lumber into pieces that are each 45/31 meters long. How long would 20 pieces of such lumber be in total?
CodeLlama 13B:
Reasoning: Each piece of lumber is now 45/31 meters long, so 20 pieces would be 20 x 45/31 = <<20 x 45/31=800/31>>800/31 meters long. ### Answer: 800/31 meters
Expected answer: 900/31
Correct? No
Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?
CodeLlama 13B:
Reasoning: The first part of the race is run at a speed of 34 miles per 14 hours, so the distance covered in one hour is 34 miles / 14 hours = 2.35 miles. The second part of the race is run at a speed of 21 miles per 26 hours, so the distance covered in one hour is 21 miles / 26 hours = 0.78 miles. The total distance covered in one hour from both parts together is 2.35 miles + 0.78 miles = 3.13 miles. ### Answer: 3.13 miles
Expected answer: 589/182
Correct? No
Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?
CodeLlama 13B:
Reasoning: Tom has $30 + $14 = <<30+14=44>>44 in his wallet. Tom also gets $25 as a birthday gift, so he now has a total of $44 + $25 = <<44+25=69>>69. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Following from the previous problem, now Tom decides to do some chores for his neighbor and earns an additional value equivalent to 37/33 dollars. How much money does Tom have now after receiving this additional amount?
CodeLlama 13B:
Reasoning: Tom has $69 + $37/33 = <<69+37/33=106.03>>106.03 dollars now. ### Answer: 106.03
Expected answer: 2314/33
Correct? No
Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?
CodeLlama 13B:
Reasoning: Jenny ran for 41/32 miles in the first round, which is equal to 41/32 = <<41/32=1.3125>>1.3125 miles. After taking a break, Jenny ran for another 11/4 miles, which is equal to 11/4 = <<11/4=2.75>>2.75 miles. In total, Jenny ran 1.3125 + 2.75 = <<1.3125+2.75=4.0625>>4.0625 miles. ### Answer: 4.0625 miles.
Expected answer: 129/32
Correct? No
Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?
CodeLlama 13B:
Reasoning: John had $32 in his wallet, and he found a $33 bill on the floor. He can add the two amounts together to get the total amount of money he has: $32 + $33 = $65 ### Answer: $65
Expected answer: 65
Correct? Yes
Problem: Suppose that initially, John only had $3 in his wallet instead of $32 before he found the $33 bill. How much money would John have had in that case before buying the video game?
CodeLlama 13B:
Reasoning: If John only had $3 in his wallet initially, he would have had a total of $3 + $33 = $36 before buying the video game. ### Answer: $36
Expected answer: 36
Correct? Yes
Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?
CodeLlama 13B:
Reasoning: Carrie rode her bike for 7 hours, which is equal to 7/1 = <<7/1=7>>7 hours. She then rode for another 38/25 of an hour, which is equal to 38/25 = <<38/25=1.52>>1.52 hours. In total, Carrie rode her bike for 7 + 1.52 = <<7+1.52=8.52>>8.52 hours. If she was able to cover 35 kilometers in each hour, she would have covered 35 x 8.52 = <<35 x 8.52=293.5>>293.5 kilometers in total. ### Answer: 293.5 kilometers
Expected answer: 1491/5
Correct? No
Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?
CodeLlama 13B:
Reasoning: John saved $17 in January, so he has $17 saved in total. He then added $10 more for the month of February, so he has $17 + $10 = $27 saved in total. ### Answer: $27
Expected answer: 27
Correct? Yes
Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?
CodeLlama 13B:
Reasoning: John saved $17 in January, $10 in February, and $14 in March. He has a total of $17 + $10 + $14 = $41 saved in total. ### Answer: $41
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
CodeLlama 13B:
Reasoning: John initially saved $28 in January instead of $17, so he has $28 saved in total. He then added $10 more for the month of February, so he has $28 + $10 = $38 saved in total. ### Answer: $38
Expected answer: 38
Correct? Yes
Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?
CodeLlama 13B:
Reasoning: The car traveled 41 miles per hour for 20 hours, so it traveled a total distance of 41 miles per hour x 20 hours = 820 miles. ### Answer: 820 miles
Expected answer: 820/11
Correct? No
Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?
CodeLlama 13B:
Reasoning: Tony has 38 books in his collection, and each book costs him 21 dollars. To find the total cost of his book collection, we can multiply the number of books by the cost of each book: 38 books x 21 dollars per book = 782 dollars ### Answer: 782 dollars
Expected answer: 798
Correct? No
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?
CodeLlama 13B:
Reasoning: If Johnnie's car uses 16 liters of gas every hour, then he would use 16 liters of gas every hour for 19 hours. 16 liters/hour x 19 hours = 304 liters ### Answer: 304 liters
Expected answer: 304
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours? If Johnnie already had 17 liters of gas in his tank before starting the journey, how many more liters does he need to complete his drive?
CodeLlama 13B:
Reasoning: If Johnnie's car uses 16 liters of gas every hour, then he would use 16 liters of gas every hour for 19 hours. 16 liters/hour x 19 hours = 304 liters If Johnnie already had 17 liters of gas in his tank before starting the journey, then he would need to add 304 - 17 = 287 liters of gas to complete his drive. ### Answer: 287 liters
Expected answer: 287
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?
CodeLlama 13B:
Reasoning: If Johnnie's car uses 16 liters of gas every hour, then he would use 16 liters of gas every hour for 39 hours. 16 liters/hour x 39 hours = 664 liters ### Answer: 664 liters
Expected answer: 624
Correct? No
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
CodeLlama 13B:
Reasoning: Joe distributed 40 pamphlets per day, so he distributed 40 x 19 = <<40 x 19=760>>760 pamphlets in total. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: After distributing pamphlets for 19 days, Joe realizes he made a mistake and had to destroy 5 of the pamphlets initially considered distributed. How many pamphlets has Joe actually distributed after accounting for this error?
CodeLlama 13B:
Reasoning: Joe initially distributed 760 pamphlets, but he had to destroy 5 of them. Therefore, the actual number of pamphlets he distributed is 760 - 5 = <<760 - 5=755>>755 pamphlets. ### Answer: 755
Expected answer: 755
Correct? Yes
Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?
CodeLlama 13B:
Reasoning: Joe initially thought he was supposed to distribute 40 pamphlets each day, so he distributed 40 x 19 = <<40 x 19=760>>760 pamphlets in total. However, he was actually supposed to distribute 27 pamphlets daily, so he distributed 27 x 19 = <<27 x 19=503>>503 pamphlets in total. Therefore, he had to destroy 760 - 503 = <<760 - 503=257>>257 pamphlets. ### Answer: 257
Expected answer: 513
Correct? No
Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?
CodeLlama 13B:
Reasoning: The farmer has 42 acres of land and harvests 16/5 bushels per acre. The farmer has to let 49/4 acres lie fallow, so the total number of acres that are not fallow is 42 - 49/4 = <<42-49/4=13>>13 acres. The farmer harvests 16/5 bushels per acre, so the total number of bushels harvested from the land that was not fallow is 13 x 16/5 = <<13 x 16/5=24>>24 bushels. ### Answer: 24 bushels
Expected answer: 476/5
Correct? No
Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?
CodeLlama 13B:
Reasoning: Let's say Jennifer has x jugs of lemonade. Each jug contains 21 gallons of lemonade, so the total volume of lemonade Jennifer has is 21x gallons. When she sells the jugs, she only receives 31/34 of the volume she originally had, so the total volume of lemonade she receives is 31/34(21x) gallons. Let's simplify this expression: 31/34(21x) = 31x/34 Now, we can solve for x: 31x/34 = 21x Multiply both sides by 34: 31x = 21x(34) Combine like terms: 31x = 692 Divide both sides by 31: x = 692/31 x = 22 So, Jennifer has 22 jugs of lemonade after selling a full jug. ### Answer: 22 jugs of lemonade.
Expected answer: 651/34
Correct? No
Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?
CodeLlama 13B:
Reasoning: Jane cycles at a rate of 11 km/h for 45 hours, which means she covers a distance of 11 x 45 = <<11 x 45=505>>505 km. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. Therefore, the total distance Jane cycles is 505 + 1 = <<505 + 1=506>>506 km. ### Answer: 506 km.
Expected answer: 496
Correct? No
Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?
CodeLlama 13B:
Reasoning: George had $21 in his wallet, and he found a bundle of change on the street worth $21/39. George had $21 + $21/39 = <<21+21/39=21+7=28>>28 dollars in total. ### Answer: 28
Expected answer: 280/13
Correct? No
Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?
CodeLlama 13B:
Reasoning: John biked 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. Total miles biked = 46 + 41 = <<46+41=87>>87 miles. ### Answer: 87 miles.
Expected answer: 87
Correct? Yes
Problem: After cycling a total of 46 + 41 miles, John realized that he had miscounted. Instead of cycling 46 miles to the town of Baker, he had actually cycled only 8 miles. How many total miles did John bike when he reached the town of Nelson?
CodeLlama 13B:
Reasoning: John had miscounted the distance to the town of Baker, and instead of cycling 46 miles, he had actually cycled 8 miles. Total miles biked = 8 + 41 = <<8+41=49>>49 miles. ### Answer: 49 miles.
Expected answer: 49
Correct? Yes
Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?
CodeLlama 13B:
Reasoning: John earns 4 dollars per hour, so he earns 4 x 9 = <<4 x 9=36>>36 dollars in total. ### Answer: 36 dollars
Expected answer: 36
Correct? Yes
Problem: If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, how much does each person earns individually?
CodeLlama 13B:
Reasoning: John and his siblings each earn 4 dollars per hour, so they each earn 4 x 39 = <<4 x 39=156>>156 dollars in total. ### Answer: 156 dollars
Expected answer: 156
Correct? Yes
Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?
CodeLlama 13B:
Reasoning: Jack had 38 dollars and earned 41/48 of a dollar from recycling cans, so he now has 38 + (41/48) = 38 + 0.90 = 38.90 dollars. Then, Jack found a quarter (or 23/24 of a dollar), so he now has 38.90 + (23/24) = 38.90 + 0.91 = 39.81 dollars. ### Answer: 39.81 dollars.
Expected answer: 637/16
Correct? No
Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?
CodeLlama 13B:
Reasoning: Jenny's speed increased by a factor of 43/15, which means she traveled at a speed of 32/24 x 43/15 = <<32/24 x 43/15=128/30>>128/30 miles per hour. Jenny traveled for a total of 29 hours, so she traveled a distance of 29 hours x 128/30 miles per hour = <<29 hours x 128/30=960/30>>960/30 miles. ### Answer: 960/30 miles
Expected answer: 4988/45
Correct? No
Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?
CodeLlama 13B:
Reasoning: Each child received 16/31 liters of paint, so the total amount of paint distributed to all the students is 16/31 liters x 32 children = <<16/31 x 32=5.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 512/31
Correct? No
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?
CodeLlama 13B:
Reasoning: Bob has $3 in his piggy bank, so he has a total of $3. He then receives some more money, which is 3/7 of a dollar. This means he receives $0.43. Adding $0.43 to $3 gives him a total of $3.43. ### Answer: $3.43
Expected answer: 24/7
Correct? No
Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?
CodeLlama 13B:
Reasoning: Let's first find the total time Tom spent moving the rocks: Total time = 20/50 hours + 45/36 hours = 1/12 hours + 1/9 hours = 2/9 hours Now, let's find the distance Tom moved the rocks: Distance = Speed x Time Distance = 25/22 miles/hour x 2/9 hours Distance = 5/11 miles Therefore, Tom moved the rocks a total distance of 5/11 miles. ### Answer: 5/11 miles
Expected answer: 15/8
Correct? No
Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?
CodeLlama 13B:
Reasoning: Let's first find the total volume of the mixture: 10/42 liters + 32 liters = 132 liters Now, let's find the volume of the remaining mixture after removing 4/28 liters: 132 liters - 4/28 liters = 128 liters Now, let's find the volume of the mixture that the scientist will use for her experiment: 128 liters x 11/29 = 11.11 liters So, the scientist will use 11.11 liters of the remaining mixture for her experiment. ### Answer: 11.11 liters
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
CodeLlama 13B:
Reasoning: The factory produces 24 chairs in an hour, so it would produce 24 x 25 = <<24 x 25=600>>600 chairs in 25 hours. ### Answer: 600 chairs
Expected answer: 600
Correct? Yes
Problem: One day, the factory decides to increase its production and manufactures 24 chairs per hour for 39 hours instead of the regular 25 hours. How many chairs would be produced in these 39 hours?
CodeLlama 13B:
Reasoning: The factory produces 24 chairs per hour for 39 hours, so it would produce 24 x 39 = <<24 x 39=960>>960 chairs in these 39 hours. ### Answer: 960 chairs
Expected answer: 936
Correct? No
Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?
CodeLlama 13B:
Reasoning: Let's first find the total volume of juice in the two containers: Container 1: 23/35 gallon = 23/35 \* 1 gallon = 7/15 gallon Container 2: 50/41 gallon = 50/41 \* 1 gallon = 12 7/15 gallon Total volume of juice: 7/15 gallon + 12 7/15 gallon = 19 3/15 gallon Now, let's find the volume of juice that was transferred into the bottle: 19 3/15 gallon \* 28 gallon = 502 2/5 gallon Now, let's find the volume of juice that was drunk by the customer: 11/19 gallon \* 502 2/5 gallon = 61 11/15 gallon Now, let's find the volume of space left in the bottle: 502 2/5 gallon - 61 11/15 gallon = 441 13/15 gallon Therefore, there is 441 13/15 gallon of space left in the bottle after subtracting 11/19 gallon which was drunk by the customer. ### Answer: 441 13/15 gallon
Expected answer: 696468/27265
Correct? No
Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?
CodeLlama 13B:
Reasoning: The cost of a regular cake is $47. The cost of a custom design is $6 divided by the 26 available designs, which is $6/26 = $0.24. To find the total cost, we add the cost of the regular cake and the cost of the custom design: $47 + $0.24 = $47.24 Therefore, the total cost if you decide to buy a regular cake with a custom design is $47.24.
Expected answer: 614/13
Correct? No
Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?
CodeLlama 13B:
Reasoning: Let's call the distance the drone can fly without the package "x" and the distance it can fly with the package "y". We know that the drone can fly 3 kilometers without the package, so x = 3. We also know that the drone can fly 50/43 kilometers less with the package, so y = 3 - (50/43) = 3 - 12.5 = 10.5 kilometers. When the drone is attached with an additional booster, it can fly an additional 47/15 kilometers, so the total distance it can fly is x + y + (47/15) = 3 + 10.5 + 3.14 = 17.64 kilometers. Therefore, the drone can fly 17.64 kilometers with the package and the additional booster attached. ### Answer: 17.64 kilometers.
Expected answer: 3206/645
Correct? No
Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?
CodeLlama 13B:
Reasoning: Ann runs 43/18 kilometers every morning, which is equal to 2.37 kilometers. She also runs 22/9 kilometers every evening, which is equal to 2.44 kilometers. In a day, Ann runs a total of 2.37 kilometers in the morning and 2.44 kilometers in the evening, which is equal to 4.81 kilometers. ### Answer: 4.81 kilometers
Expected answer: 29/6
Correct? No
Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?
CodeLlama 13B:
Reasoning: The car can travel 36 miles on a 1-gallon tank of gas, so it can travel 36/1 = <<36/1=36>>36 miles on a 1-gallon tank. If the car has a 19-gallon tank, it can travel 19 x 36 = <<19 x 36=672>>672 miles without needing to refuel. ### Answer: 672 miles
Expected answer: 684
Correct? No
Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?
CodeLlama 13B:
Reasoning: John drove 18 miles per hour for 36 hours, which is equal to 18 x 36 = 648 miles. He then drove an extra distance of 32/45 miles, which is equal to 32/45 x 648 = 224 miles. Therefore, John drove a total of 648 + 224 = 872 miles. ### Answer: 872 miles
Expected answer: 29192/45
Correct? No
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
CodeLlama 13B:
Reasoning: The car travels at a speed of 40 miles per minute. To find the distance traveled in 10 minutes, we can multiply the speed by the time: Distance = Speed x Time Distance = 40 miles/minute x 10 minutes Distance = 400 miles ### Answer: 400 miles
Expected answer: 400/31
Correct? No
Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?
CodeLlama 13B:
Reasoning: John has 21 dollars and his mom gives him 11 dollars more, so he has 21 + 11 = <<21+11=32>>32 dollars now. ### Answer: 32 dollars
Expected answer: 32
Correct? Yes
Problem: John has 21 dollars and his mom gives him 11 dollars more. Now, John's dad matches whatever amount John has. How much money does John's dad give him?
CodeLlama 13B:
Reasoning: John has 32 dollars now, and his dad matches that amount. So, John's dad gives him 32 dollars. ### Answer: 32 dollars
Expected answer: 32
Correct? Yes
Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?
CodeLlama 13B:
Reasoning: Samuel has $17. He finds $30 on the street. He now has $17 + $30 = $47. If the exchange rate is $47 to an equivalent of 33 Euros, then he has 33 Euros. Therefore, Samuel will have 33 Euros now. ### Answer: 33 Euros
Expected answer: 2209/33
Correct? No
Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?
CodeLlama 13B:
Reasoning: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. Therefore, the total number of coins in all 5 piggy banks is 5 x 34 = <<5 x 34=170>>170 coins. ### Answer: 170 coins
Expected answer: 170
Correct? Yes
Problem: Initially, Hannah thought she had 5 piggy banks with 34 coins each. Upon recounting, she finds that she actually has 5 piggy banks with 27 coins each. How many coins does she have in the piggy banks after correcting her count?
CodeLlama 13B:
Reasoning: Hannah initially thought she had 5 piggy banks with 34 coins each, but upon recounting, she found that she actually has 5 piggy banks with 27 coins each. Therefore, the total number of coins in all 5 piggy banks is 5 x 27 = <<5 x 27=135>>135 coins. ### Answer: 135 coins
Expected answer: 135
Correct? Yes
Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?
CodeLlama 13B:
Reasoning: Let's first find the total amount of money Alex has: $13/10 + $47/36 = $60/36 Now, if we want to duplicate the amount of money Alex has by 43 times, we can multiply the total amount by 43: $60/36 x 43 = $252/36 So, Alex will have a total of $252/36 = $7.25 after duplicating the amount of money he has by 43 times. ### Answer: $7.25
Expected answer: 20167/180
Correct? No
Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?
CodeLlama 13B:
Reasoning: John had 20 dollars and lost 19 dollars, so he has 1 dollar left. ### Answer: 1 dollar
Expected answer: 1
Correct? Yes
Problem: Suppose that John originally had saved 26 dollars, but still lost 19 dollars. Now, how much money would he have left?
CodeLlama 13B:
Reasoning: John had 26 dollars and lost 19 dollars, so he has 7 dollars left. ### Answer: 7 dollars
Expected answer: 7
Correct? Yes
Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?
CodeLlama 13B:
Reasoning: * Richard drank 33/48 of the wine, which is equal to 33/48 \* 33 = 11 ounces of wine. * He drank a cup of orange juice that contained 26/30 of a liter, which is equal to 26/30 \* 1000 mL = 867 mL of orange juice. * He drank a bottle of water that contained 2/36 of a liter, which is equal to 2/36 \* 1000 mL = 556 mL of water. Total volume of liquid consumed: 11 + 867 + 556 = 1434 mL. ### Answer: 1434 mL
Expected answer: 16999/720
Correct? No
Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?
CodeLlama 13B:
Jacob has $43 in his savings account and he adds $46 to his account. Jacob has $43 + $46 = <<43+46=89>>89 in his savings account. A few days later, he receives an additional $27/9 from his aunt. Jacob has $89 + $27/9 = <<89+27/9=116.22>>116.22 in his savings account. ### Answer: 116.22
Expected answer: 92
Correct? No
Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?
CodeLlama 13B:
Reasoning: Jacob has $35 on his gift card. He buys a toy for $22. Jacob has $35 - $22 = <<35-22=13>>13 dollars left on his gift card after buying the toy. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following up on Jacob's purchase, his grandmother gives him $36 more to add to his remaining gift card balance. How much money does Jacob now have on his gift card after receiving money from his grandmother?
CodeLlama 13B:
Reasoning: Jacob has $13 on his gift card. His grandmother gives him $36 more. Jacob has $13 + $36 = <<13+36=49>>49 dollars on his gift card after receiving money from his grandmother. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Considering a variation on the previous problem, suppose Jacob initially had $35 on his gift card, but this time he decides to buy a game that costs $15 instead of the toy. How much money would he have left on his gift card after this purchase?
CodeLlama 13B:
Reasoning: Jacob initially had $35 on his gift card. He decides to buy a game that costs $15 instead of the toy. Jacob has $35 - $15 = <<35-15=20>>20 dollars left on his gift card after this purchase. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?
CodeLlama 13B:
Reasoning: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. 36/5 = 7.2 James spent 7.2 dollars on the notepad. 32 - 7.2 = 24.8 James has 24.8 dollars left after his purchase. ### Answer: 24.8
Expected answer: 124/5
Correct? Yes
Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?
CodeLlama 13B:
Reasoning: Tina spent 39 dollars on groceries. Tina only had to pay 16/26 of this amount, which is 39 x 16/26 = <<39 x 16/26=12.5>>12.5 dollars. So, Tina paid 12.5 dollars for the groceries. ### Answer: 12.5 dollars.
Expected answer: 24
Correct? No
Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?
CodeLlama 13B:
Reasoning: Jaden has $19 in his savings account. If his mother gives him $10 more, the total amount in his savings account will be $19 + $10 = $29. ### Answer: $29
Expected answer: 29
Correct? Yes
Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.
CodeLlama 13B:
Reasoning: Let x be the rate of John's apple consumption in pounds per day. Let y be the rate of John's apple juice consumption in ounces per day. Since John's apples last as long as 48 ounces of apple juice, we can set up the equation: x/y = 48 We know that John buys 17 pounds of apples every 8 days, so we can set up the equation: x = 17/8 We also know that John consumes 42 days of apple juice every 8 days, so we can set up the equation: y = 42/8 Now we can substitute the values of x and y into the first equation: (17/8)/(42/8) = 48 Simplifying, we get: 17/42 = 48 Simplifying further, we get: 17 = 42 x 48 17 = 1928 Therefore, John's apple to apple juice consumption rate is 1928:1.
Expected answer: 119/64
Correct? No
Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?
CodeLlama 13B:
Reasoning: 1. Maria drove for 8 hours at a speed of 4/7 miles per hour, so she traveled a total distance of 8 hours x 4/7 miles per hour = 48 miles. 2. Maria initially had 38 dollars for gas, but spent 50/4 dollars on gas, so she spent a total of 50/4 dollars = 12.50 dollars on gas. 3. The remaining amount of money Maria had for gas is 38 - 12.50 = 25.50 dollars. Therefore, the summation of the total miles Maria drove and the remaining amount of money she had for gas is: Total miles driven = 48 miles Remaining amount of money for gas = 25.50 dollars ### Answer: 48 miles and 25.50 dollars.
Expected answer: 421/14
Correct? No
Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?
CodeLlama 13B:
Reasoning: The runner runs 17 miles each day, so they will have run a total of 17 x 49 = <<17 x 49=823>>823 miles in 49 days. ### Answer: 823 miles
Expected answer: 833
Correct? No
Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?
CodeLlama 13B:
Reasoning: The toy car can now travel an additional 33/40 of a kilometer, which is equal to 8.25 kilometers. The total distance the toy car can now travel on a single tank of fuel is 37 kilometers + 8.25 kilometers = 45.25 kilometers. ### Answer: 45.25 kilometers.
Expected answer: 1513/40
Correct? No
Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?
CodeLlama 13B:
Reasoning: John traveled for 1/31 of an hour by car, which is equal to 1/31 = <<1/31=0.031>>0.031 hours. John then took a bus for another 30/12 hours, which is equal to 30/12 = <<30/12=2.5>>2.5 hours. After taking a short break of 17/4 hours, John was on the move for a total of 0.031 + 2.5 + 17/4 = <<0.031+2.5+17/4=20.5>>20.5 hours. ### Answer: 20.5 hours
Expected answer: 841/124
Correct? No
Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?
CodeLlama 13B:
Reasoning: Let the distance from the village to the well be x miles. After 1 hour, the donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. So, the effective distance of the well from the village after 1 hour is x - 18/33 miles. Substituting x with 45 miles, we get: x - 18/33 miles = 45 - 18/33 miles Simplifying, we get: x - 18/33 miles = 27 miles So, the effective distance of the well from the village after 1 hour is 27 miles. ### Answer: 27 miles
Expected answer: 489/11
Correct? No
Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
CodeLlama 13B:
Reasoning: Clara spent 25/6 = <<25/6=4>>4 dollars on ice cream. After buying the ice cream, she had 30 - 4 = <<30-4=26>>26 dollars remaining. She used 11/21 of her remaining money to buy a book, so she spent 11/21 of 26 = <<11/21*26=3.05>>3.05 dollars on the book. ### Answer: 3.05
Expected answer: 1705/126
Correct? No
Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?
CodeLlama 13B:
Reasoning: John walked 10 miles per day for 2 weeks, which is 10 x 2 = 20 miles. He also walked an additional 21 miles to reach his destination, so the total distance he had to walk is 20 + 21 = 41 miles. ### Answer: 41 miles
Expected answer: 161
Correct? No
Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?
CodeLlama 13B:
Reasoning: The toy cost 18 dollars plus 41/14 dollars for tax, so the total cost of the toy is 18 + 41/14 = 18 + 2.92 = 20.92 dollars. Susan had 48 dollars in her pocket before buying the toy, so she spent 20.92 dollars on the toy. After buying the toy, Susan has 48 - 20.92 = 27.08 dollars left. ### Answer: 27.08 dollars.
Expected answer: 379/14
Correct? No
Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?
CodeLlama 13B:
Reasoning: The bank added a bonus of 47/41 dollars to Jamie's account, which means the total amount of money in her account is 47 + 47/41 = <<47+47/41=47.11>>47.11 dollars. ### Answer: 47.11 dollars.
Expected answer: 1974/41
Correct? No
Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?
CodeLlama 13B:
Reasoning: Walter paid 23/21 dollars for the pen, so he spent 23/21 dollars = <<23/21=1.15>>1.15 dollars on the pen. Walter still has 46 dollars left, so he had 46-1.15 dollars = <<46-1.15=44.85>>44.85 dollars originally. ### Answer: 44.85 dollars.
Expected answer: 989/21
Correct? No
Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?
CodeLlama 13B:
Reasoning: The farmer harvests 44/10 kilograms from each beehive, so he harvests a total of 44/10 x 37 = <<44/10 x 37=1512>>1512 kilograms of honey in a day. If he sells 3/37 of the total honey harvested in a day, he sells 3/37 x 1512 = <<3/37 x 1512=453.6>>453.6 kilograms of honey. ### Answer: 453.6 kilograms
Expected answer: 66/5
Correct? No
Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?
CodeLlama 13B:
Reasoning: Jessica earns 29 dollars per hour, so she will earn 29 dollars times 14 hours = <<29*14=388>>388 dollars in total. ### Answer: 388 dollars
Expected answer: 406
Correct? No
Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?
CodeLlama 13B:
Reasoning: Tim's car consumes 41/39 liters of fuel per minute, so he will consume 41/39 x 47 = <<41/39 x 47=19.33>>19.33 liters of fuel in 47 minutes. ### Answer: 19.33 liters
Expected answer: 1927/39
Correct? No
Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?
CodeLlama 13B:
Reasoning: Let's first find the total tonnage of the cargo on the ship after it loads all 39 containers. We can do this by multiplying the number of containers by the tonnage per container: 39 containers x 17/26 tons per container = 39 x 17/26 = 39 x 0.65 = 24.35 tons Now, we need to add the existing cargo load of 50/11 tons to the total tonnage: 24.35 tons + 50/11 tons = 24.35 tons + 4.55 tons = 28.9 tons Therefore, the total tonnage of the cargo on the ship after it loads all 39 containers is 28.9 tons. ### Answer: 28.9 tons
Expected answer: 661/22
Correct? No
Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?
CodeLlama 13B:
Reasoning: Jessie has $34 + $20 = <<34+20=54>>54 dollars now. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Jessie decides to save her money for 13 weeks. Each week, she saves an amount equal to the sum of her initial savings and the money she received from her grandma. How much money does she save in total after 13 weeks?
CodeLlama 13B:
Reasoning: Week 1: Jessie saves $34 + $20 = <<34+20=54>>54 dollars. Week 2: Jessie saves $54 + $20 = <<54+20=74>>74 dollars. Week 3: Jessie saves $74 + $20 = <<74+20=94>>94 dollars. Week 4: Jessie saves $94 + $20 = <<94+20=114>>114 dollars. Week 5: Jessie saves $114 + $20 = <<114+20=134>>134 dollars. Week 6: Jessie saves $134 + $20 = <<134+20=154>>154 dollars. Week 7: Jessie saves $154 + $20 = <<154+20=174>>174 dollars. Week 8: Jessie saves $174 + $20 = <<174+20=194>>194 dollars. Week 9: Jessie saves $194 + $20 = <<194+20=214>>214 dollars. Week 10: Jessie saves $214 + $20 = <<214+20=234>>234 dollars. Week 11: Jessie saves $234 + $20 = <<234+20=254>>254 dollars. Week 12: Jessie saves $254 + $20 = <<254+20=274>>274 dollars. Week 13: Jessie saves $274 + $20 = <<274+20=294>>294 dollars. Total savings: $34 + $54 + $74 + $94 + $114 + $134 + $154 + $174 + $194 + $214 + $234 + $254 + $274 + $294 = <<34+54+74+94+114+134+154+174+194+214+234+254+274+294=1088>>1088 dollars. ### Answer: 1088
Expected answer: 702
Correct? No
Problem: Instead of starting with $34, suppose Jessie initially had $45 in savings. She still receives $20 from her grandma. How much money does she have now?
CodeLlama 13B:
Reasoning: Jessie had $45 + $20 = <<45+20=65>>65 dollars now. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?
CodeLlama 13B:
Reasoning: Derek has $42 + $7 = <<42+7=49>>49 dollars in total now. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Now suppose Derek originally had $42, but his grandmother gave him $12 instead of $7. How much money does Derek have now?
CodeLlama 13B:
Reasoning: Derek originally had $42, but his grandmother gave him $12 instead of $7. So, Derek has $42 + $12 = <<42+12=54>>54 dollars now. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?
CodeLlama 13B:
Reasoning: The man received a discount of 43/27 dollars, which means he saved 43/27 dollars. The man spent 43 dollars on groceries, so he spent a total of 43 dollars - 43/27 dollars = <<43-43/27=43*27/27=43*3/3=135>>135 dollars on groceries. The man also bought a book worth 13/36 dollars, so he spent a total of 13/36 dollars = <<13/36=13/36*36=13*36/36=13*1=13>>13 dollars on the book. The man spent a total of 135 dollars + 13 dollars = <<135+13=148>>148 dollars in total. ### Answer: 148 dollars.
Expected answer: 4511/108
Correct? No
Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?
CodeLlama 13B:
Reasoning: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. Jenna has a total of $45 + $50 = <<45+50=95>>95 dollars. After she bought a novel that cost 46/39 dollars, Jenna has spent 46/39 dollars = <<46/39=1.07>>1.07 dollars. Jenna has $95 - 1.07 = <<95-1.07=93.93>>93.93 dollars left. ### Answer: 93.93
Expected answer: 3659/39
Correct? No
Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?
CodeLlama 13B:
Reasoning: 1. The tank initially had 27/6 gallons of water. 2. 5/40 gallons were poured out of the tank. 3. The tank now has 27/6 - 5/40 = 22/6 gallons of water. 4. 21/26 gallons were added to the tank. 5. The tank now has 22/6 + 21/26 = 43/13 gallons of water. ### Answer: 43/13 gallons.
Expected answer: 539/104
Correct? No
Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?
CodeLlama 13B:
Reasoning: The car is traveling at a steady speed of 28 miles per hour, so it will cover a distance of 28 miles in 1 hour. Therefore, the car will cover a distance of 28 x 20 = <<28 x 20=560>>560 miles in 20 hours. ### Answer: 560 miles
Expected answer: 560
Correct? Yes
Problem: Continuing from the previous scenario, after traveling for 20 hours at a speed of 28 miles per hour, the car continues on for an additional 22 miles. How many miles has the car traveled in total?
CodeLlama 13B:
Reasoning: The car has already traveled 560 miles in 20 hours at a speed of 28 miles per hour. To find the total distance traveled, we need to add the additional 22 miles to the previous distance. Therefore, the total distance traveled is 560 + 22 = <<560 + 22=582>>582 miles. ### Answer: 582 miles
Expected answer: 582
Correct? Yes
Problem: Following up from the initial scenario, suppose the car was instead traveling at a consistent speed of 28 miles per hour for 32 hours. How many miles will the car travel in this case?
CodeLlama 13B:
Reasoning: The car is traveling at a consistent speed of 28 miles per hour for 32 hours, so it will cover a distance of 28 miles in 1 hour. Therefore, the car will cover a distance of 28 x 32 = <<28 x 32=928>>928 miles in 32 hours. ### Answer: 928 miles
Expected answer: 896
Correct? No
Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?
CodeLlama 13B:
Reasoning: Tom had 48 dollars in his wallet. He spent 19 dollars on a book. Tom had 48 - 19 = <<48-19=29>>29 dollars left. ### Answer: 29 dollars
Expected answer: 29
Correct? Yes
Problem: Instead of spending 19 dollars on a book, let's say that Tom had initially spent 30 dollars on a more expensive book. How much money would Tom have left in his wallet after this purchase?
CodeLlama 13B:
Reasoning: Tom had initially spent 30 dollars on a more expensive book. He had 48 dollars in his wallet. Tom had 48 - 30 = <<48-30=18>>18 dollars left. ### Answer: 18 dollars
Expected answer: 18
Correct? Yes
Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?
CodeLlama 13B:
Reasoning: James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns 49/44 dollars per hour working online. James earns
Expected answer: 885/44
Correct? No
Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?
CodeLlama 13B:
Reasoning: The new vendor charges $19 per 30 bags, and the old vendor charges $34 per 8 bags. To find out how much less the new vendor charges per bag, we need to divide the difference in price by the number of bags. Difference in price = $19 - $34 = -$15 Number of bags = 30 - 8 = 22 Less per bag = -$15 / 22 = -$0.71 ### Answer: -$0.71
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
CodeLlama 13B:
Reasoning: Lisa spends $50 for 46 days, so she spends $50/46 = <<$50/46=1.06>>1.06 per day. ### Answer: 1.06
Expected answer: 25/23
Correct? No
Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?
CodeLlama 13B:
Reasoning: The bottle contains 22/43 liters of juice, so the total amount of juice in the bottle is 22/43 x 1 = 5 7/11 liters. If you drink 18/4 of the bottle, you will drink 18/4 x 5 7/11 liters = 14 3/11 liters of juice. ### Answer: 14 3/11 liters
Expected answer: 99/43
Correct? No
Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?
CodeLlama 13B:
Reasoning: John had $31 - $4 = <<31-4=27>>27 dollars left. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. How much money does he have left after buying the book?
CodeLlama 13B:
Reasoning: John had $27 - $23 = <<27-23=4>>4 dollars left after buying the book. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?
CodeLlama 13B:
Reasoning: The sports car's speed is initially 40 miles per hour. After one hour, the sports car gains an extra speed of 26/24 miles per hour due to the powerful wind from behind. So, the sports car's speed after one hour would be: 40 + (26/24) = 40 + 1.067 = 41.067 miles per hour. ### Answer: 41.067 miles per hour.
Expected answer: 493/12
Correct? No
Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?
CodeLlama 13B:
Reasoning: James has 33/37 gallons of milk in the jug, which is equal to 33/37 = <<33/37=0.9074074074074074>>0.9074 gallons. He then adds 3/25 gallons of milk to the jug, which is equal to 3/25 = <<3/25=0.12>>0.12 gallons. So, James has a total of 0.9074 + 0.12 = <<0.9074+0.12=0.9974>>0.9974 gallons of milk in the jug. ### Answer: 0.9974 gallons
Expected answer: 936/925
Correct? No
Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?
CodeLlama 13B:
Reasoning: The journey took 43/17 hours to complete, so the total time spent on the journey is 43/17 = <<43/17=2.47>>2.47 hours. The break was taken after the journey, so the total time spent on the break is 31/4 = <<31/4=7.75>>7.75 hours. ### Answer: 2.47 hours + 7.75 hours = 10.22 hours
Expected answer: 699/68
Correct? No
Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?
CodeLlama 13B:
Reasoning: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, she has driven for 1 hour and 1/48 hour. The total distance traveled is 1 hour + 1/48 hour = 1 hour and 1/48 hour. The total fuel consumed is 41 liters x 1 hour and 1/48 hour = 41 liters x 1.015625 = 41.5625 liters. ### Answer: 41.5625 liters
Expected answer: 2009/48
Correct? No
Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?
CodeLlama 13B:
Reasoning: 13/41 of $33 is equal to 13/41 × $33 = $4.93. ### Answer: $4.93
Expected answer: 429/41
Correct? No
Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?
CodeLlama 13B:
Reasoning: The turtle's speed is 19/6 feet per second, so it would travel 19/6 feet in 1 second. To find the distance traveled in 24 seconds, we can multiply the speed by the time: 19/6 feet/second x 24 seconds = 432/6 feet = <<432/6=72>>72 feet Therefore, the turtle would travel 72 feet in 24 seconds if it starts 20 feet ahead from the starting point.
Expected answer: 96
Correct? No
Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?
CodeLlama 13B:
Reasoning: Carlos filled the container with orange juice to 41/49 of its capacity, which is equal to 41/49 \* 3 = 12.3 liters. ### Answer: 12.3 liters
Expected answer: 123/49
Correct? No
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
CodeLlama 13B:
Reasoning: The distance traveled by the train in 5 hours can be calculated by multiplying the speed of the train by the time taken. Distance = Speed x Time Distance = 39 km/h x 5 h Distance = 195 km ### Answer: 195 km
Expected answer: 195
Correct? Yes
Problem: If the train was initially traveling at a speed of 16 kilometers per hour instead of 39 kilometers per hour, how far would the train have travelled in 5 hours?
CodeLlama 13B:
Reasoning: The distance traveled by the train in 5 hours can be calculated by multiplying the speed of the train by the time taken. Distance = Speed x Time Distance = 16 km/h x 5 h Distance = 80 km ### Answer: 80 km
Expected answer: 80
Correct? Yes
Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?
CodeLlama 13B:
Reasoning: Jenny has $3 and finds a rare coin that is worth 4/37 dollars. Jenny has $3 + 4/37 = <<$3 + 4/37=3.14>>3.14 dollars altogether. ### Answer: 3.14
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
CodeLlama 13B:
Reasoning: Henry saved $17 each week for 5 weeks, so he saved a total of $17 x 5 = <<17 x 5=85>>85 dollars. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Imagine if instead of saving $17 each week, Henry was actually saving $37 each week. How much money would Henry save in 5 weeks?
CodeLlama 13B:
Reasoning: Henry saved $37 each week for 5 weeks, so he saved a total of $37 x 5 = <<37 x 5=185>>185 dollars. ### Answer: 185
Expected answer: 185
Correct? Yes
Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?
CodeLlama 13B:
Reasoning: 17/23 of a dollar is equal to 0.73 dollars. You have $15 in your savings account. You spend 0.73 dollars on a small sweet. After buying the sweet, you have $15 - 0.73 = $14.27 left in your savings account. ### Answer: $14.27
Expected answer: 328/23
Correct? No