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?
LLemma 7B:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4.75 dollars per day. John spent 18/8 = <<18/8=2.25>>2.25 dollars per day. John has 25 dollars. ### Answer: 25
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?
LLemma 7B:
Reasoning: You have $45-$27/30 = <<45-27/30=13.5>>13.5 in your wallet. You have $45+$27/30 = <<45+27/30=48.5>>48.5 in total. ### Answer: 48.5
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?
LLemma 7B:
Reasoning: John has $17 + $8/37 = <<17+8/37=17.24>>17.24 in total. ### Answer: 17.24
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?
LLemma 7B:
Reasoning: Sally traveled 47/50 + 31 = <<47/50+31=177/50>>177/50 miles. She traveled 177/50 + 32/24 = <<177/50+32/24=177/50+16/15>>177/50+16/15 miles. She traveled 177/50 + 32/24 + 28 = <<177/50+32/24+28=177/50+16/15+140/15>>177/50+16/15+140/15 miles. She traveled 177/50 + 32/24 + 28 + 31 = <<177/50+32/24+28+31=177/50+16/15+140/15+15/2>>177/50+16/15+140/15+15/2 miles. She traveled 177/50 + 32/24 + 28 + 31 + 32/24 = <<177/50+32/24+28+31+32/24=177/50+16/15+140/15+15/2+16/15>>177/50+16/15+140/15+15/2+16/15 miles. She traveled 177/50 + 32/24 + 28 + 31 + 32/24 + 28 = <<177/50+32/24+28+31+32/24+28=177/50+16/15+140/15+15/2+16/15+140/15>>177/50+16/15+140/15+15/2+16/15+140/15 miles. She traveled 177/50 + 32/24 + 28 + 31 + 32/24 + 28 + 31 = <<177/50+32/24+28+31+32/24+28+31=177/50+16/15+140/15+15/2+16/15+140/15+15/2>>177/50+16/15+140/15+15/2+16/15+140/15+15/2 miles. She traveled 177/50 + 32/24 + 28 + 31 + 32/24 + 28 + 31 + 32/24 = <<177/50+32/24+28+31+32/24+28+31+32/24=177/50+16/15+140/15+15/2+16/15+140/15+15/2+16/15>>177/50+16/15+140/15+15/2+16/15+140/15+15/2+16/15 miles. She traveled 177/50 + 32/24 + 28 + 31 + 32/24 + 28 + 31 + 32/24 + 28 = <<177/50+32/24+28+31+32/24+28+31+3
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?
LLemma 7B:
Reasoning: The train travels 47*4 = <<47*4=188>>188 miles in 4 hours. ### Answer: 188
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?
LLemma 7B:
Reasoning: The train travels 47*18 = <<47*18=842>>842 miles in 18 hours. ### Answer: 842
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?
LLemma 7B:
Reasoning: The truck can travel 34/25 + 11 = <<34/25+11=119/25>>119/25 kilometers before running out of fuel. The truck can travel 119/25 + 49 = <<119/25+49=268/25>>268/25 kilometers then. ### Answer: 119/25, 268/25
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?
LLemma 7B:
Reasoning: John jogged 50/49 - 4/22 = <<50/49-4/22=1/11>>1/11 miles per hour faster after consuming the energy drink. John jogged 1/11 * 46/30 = <<1/11*46/30=23/300>>23/300 miles per hour. ### Answer: 23/300
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?
LLemma 7B:
Reasoning: The truck driver has 9+21/36+26/42 = <<9+21/36+26/42=11.25>>11.25 gallons of gas in his tank. ### Answer: 11.25
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?
LLemma 7B:
Reasoning: John has 6+47/8 = <<6+47/8=10.375>>10.375 dollars in his pocket. ### Answer: 10.375
Expected answer: 95/8
Correct? No
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?
LLemma 7B:
Reasoning: Matthew has $29 + $5 = <<29+5=34>>34 after buying the toy. Matthew has $34 + $8 = <<34+8=42>>42 after receiving the money from his grandmother. ### Answer: 42
Expected answer: 32
Correct? No
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
LLemma 7B:
Reasoning: 9*$16 = <<9*$16=144>>144 ### 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?
LLemma 7B:
Reasoning: 9*$30 = <<9*$30=270>>270 ### 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?
LLemma 7B:
Reasoning: Amy's garden is 11+30 = <<11+30=41>>41 feet long. Amy's garden is 41+30/13 = <<41+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13 = <<41.214285714285714+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13 = <<41.214285714285714+30/13+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13+30/13 = <<41.214285714285714+30/13+30/13+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13+30/13+30/13 = <<41.214285714285714+30/13+30/13+30/13+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13+30/13+30/13+30/13 = <<41.214285714285714+30/13+30/13+30/13+30/13+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13 = <<41.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13=41.214285714285714>>41.214285714285714 feet long. Amy's garden is 41.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13+30/13 = <<41.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13+30/
Expected answer: 563/13
Correct? Yes
Problem: Instead of having an initial length of 11 feet, let's say Amy's garden was originally 37 feet long. How long will the garden be if she still plans to extend it by 30 feet and further extend it by the length equivalent to 30 divided by 13 feet?
LLemma 7B:
Reasoning: Amy's garden is 37+30 = <<37+30=67>>67 feet long. Amy's garden is 67+30/13 = <<67+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13 = <<67.214285714285714+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13 = <<67.214285714285714+30/13+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13+30/13 = <<67.214285714285714+30/13+30/13+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13+30/13+30/13 = <<67.214285714285714+30/13+30/13+30/13+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13+30/13+30/13+30/13 = <<67.214285714285714+30/13+30/13+30/13+30/13+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13 = <<67.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13=67.214285714285714>>67.214285714285714 feet long. Amy's garden is 67.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13+30/13 = <<67.214285714285714+30/13+30/13+30/13+30/13+30/13+30/13+30
Expected answer: 901/13
Correct? Yes
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?
LLemma 7B:
Reasoning: The supermarket is (25/41) miles closer to his work than his house. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer to his work than (17/3) miles. The supermarket is (25/41) miles closer
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?
LLemma 7B:
Reasoning: The bank has $12 + $36 = <<12+36=48>>48 in one-dollar bills. The bank paid out $8. The bank now has $48 - $8 = <<48-8=40>>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?
LLemma 7B:
Reasoning: The bank has $40 + $19/11 = <<40+19/11=40.818181818181818>>40.818181818181818 in one-dollar bills. ### Answer: 40.818181818181818
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?
LLemma 7B:
Reasoning: The bank has $12 + $22 = <<12+22=34>>34 in one-dollar bills. The bank paid out $8. The bank now has $34 - $8 = <<34-8=26>>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?
LLemma 7B:
Reasoning: Samantha has 28+46/41 = <<28+46/41=28.19>>28.19 dollars in her bank account now. ### Answer: 28.19
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?
LLemma 7B:
Reasoning: James has 37+14/19 = <<37+14/19=37.7>>37.7 dollars. ### Answer: 37.7
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?
LLemma 7B:
Reasoning: Sophia spends 40/28 = <<40/28=1.43>>1.43 dollars each day for her fuel. ### Answer: 1.43
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?
LLemma 7B:
Reasoning: Roberto took 34/44 of 17 ounces. Roberto took 34/44 * 17 = <<34/44*17=10.5>>10.5 ounces of juice. ### Answer: 10.5
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?
LLemma 7B:
Reasoning: John saves 20/48 of the money he needs every week. John saves 20/48 of $29 every week. John saves 20/48 of $29 every week for 12 weeks. John saves 20/48 of $29 every week for 12 weeks = <<(20/48)*29*12=11.25>>11.25. John saves 11.25 every week for 12 weeks. John saves 11.25 every week for 12 weeks = <<11.25*12=135>>135. John saves $135 every week for 12 weeks. John saves $135 every week for 12 weeks = <<135*12=1620>>1620. John saves $1620 every week for 12 weeks. John saves $1620 every week for 12 weeks = <<1620*12=19440>>19440. John saves $19440 every week for 12 weeks. John saves $19440 every week for 12 weeks = <<19440*12=235520>>235520. John saves $235520 every week for 12 weeks. John saves $235520 every week for 12 weeks = <<235520*12=2787440>>2787440. John saves $2787440 every week for 12 weeks. John saves $2787440 every week for 12 weeks = <<2787440*12=34157600>>34157600. John saves $34157600 every week for 12 weeks. John saves $34157600 every week for 12 weeks = <<34157600*12=413152000>>413152000. John saves $413152000 every week for 12 weeks. John saves $413152000 every week for 12 weeks = <<413152000*12=494680000>>494680000. John saves $494680000 every week for 12 weeks. John saves $494680000 every week for 12 weeks = <<494680000*12=5969600000>>5969600000. John saves $5969600000 every week for 12 weeks. John saves $5969600000 every week for 12 weeks = <<5969600000*12=71113600000>>71113600000. John saves $71113600000 every week for 12 weeks. John saves $71113600000 every week for 12 weeks = <<71113600000*12=855308800000>>855308800000. John saves $855308800000 every week for 12 weeks. John saves $855308800000 every week for 12 weeks = <<855308800000*12=10269264000000>>10269264000000. John saves $10269264000000 every week for 12 weeks. John saves $10269264000000 every week for 12 weeks = <<10269264
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?
LLemma 7B:
Reasoning: Maria has 13/3 - 32/15 = <<13/3 - 32/15=1/15>>1/15 euros left. ### Answer: 1/15
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?
LLemma 7B:
Reasoning: 45/44 pieces of lumber are 45/44 x 45 = <<(45/44)*45=45>>45 meters long. 20 pieces of such lumber are 20 x 45 = <<20*45=900>>900 meters long. ### Answer: 900
Expected answer: 225/11
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?
LLemma 7B:
Reasoning: The sprinter runs 34/14 = <<34/14=2.4>>2.4 miles per hour in the first part of the race. The sprinter runs 21/26 = <<21/26=0.8>>0.8 miles per hour in the second part of the race. The sprinter runs 2.4+0.8 = <<2.4+0.8=3.2>>3.2 miles per hour in both parts of the race. The sprinter covers 3.2*1 = <<3.2*1=3.2>>3.2 miles in one hour from both parts of the race. ### Answer: 3.2
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?
LLemma 7B:
Reasoning: Tom has $30 + $14 = <<30+14=44>>44 in his wallet. Tom gets $25 as a birthday gift. Tom has $44 + $25 = <<44+25=69>>69 in his wallet now. ### 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?
LLemma 7B:
Reasoning: Tom has $69 + 37/33 = <<69+37/33=70.03>>70.03 in his wallet now. ### Answer: 70.03
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?
LLemma 7B:
Reasoning: Jenny ran 41/32 + 11/4 = <<41/32+11/4=1.25>>1.25 miles in total. ### Answer: 1.25
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?
LLemma 7B:
Reasoning: John has $32+$33 = <<32+33=65>>65 dollars now. ### 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?
LLemma 7B:
Reasoning: John would have had $3+$33 = <<3+33=36>>36 dollars 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?
LLemma 7B:
Reasoning: Carrie rode 35*7 = <<35*7=245>>245 kilometers in the first hour. Carrie rode 35*(38/25) = <<35*(38/25)=102>>102 kilometers in the second hour. Carrie rode 245+102 = <<245+102=347>>347 kilometers in total. ### Answer: 347
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?
LLemma 7B:
Reasoning: John saved $17 + $10 = <<17+10=27>>27 in February. John saved $17 + $10 + $17 = <<17+10+17=44>>44 in total after February. ### Answer: 44
Expected answer: 27
Correct? No
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?
LLemma 7B:
Reasoning: 41 miles per hour = <<41/1=41>>41 miles per hour 20/11 hours = <<20/11=1.8181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181
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?
LLemma 7B:
Reasoning: Tony spent 38*21 = <<38*21=798>>798 dollars on his book collection. ### Answer: 798
Expected answer: 798
Correct? Yes
Problem: In the previous problem, we considered that Tony has 38 books, each costing him 21 dollars. Now, consider that Tony actually spent 24 dollars on each book. How much money did Tony spend in total on his book collection now?
LLemma 7B:
Reasoning: Tony spent 38*24 = <<38*24=912>>912 dollars on his book collection. ### Answer: 912
Expected answer: 912
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?
LLemma 7B:
Reasoning: 19 hours x 16 liters = <<19*16=304>>304 liters ### Answer: 304
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?
LLemma 7B:
Reasoning: 19 hours x 16 liters = <<19*16=304>>304 liters Johnnie needs 17+304 = <<17+304=321>>321 liters of gas. ### Answer: 321
Expected answer: 287
Correct? No
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?
LLemma 7B:
Reasoning: 39 hours x 16 liters = <<39*16=624>>624 liters ### Answer: 624
Expected answer: 624
Correct? Yes
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
LLemma 7B:
Reasoning: Joe has distributed 40*19 = <<40*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?
LLemma 7B:
Reasoning: Joe has actually distributed 760-5 = <<760-5=755>>755 pamphlets after accounting for this error. ### 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?
LLemma 7B:
Reasoning: Joe should have distributed 27*19 = <<27*19=513>>513 pamphlets after 19 days, excluding the ones he incorrectly distributed and had to destroy. ### Answer: 513
Expected answer: 513
Correct? Yes
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?
LLemma 7B:
Reasoning: The farmer has 42-49/4 = <<42-49/4=1/4>>1/4 acres of land that was not fallow. The farmer harvested 16/5 bushels of corn per acre. The farmer harvested 16/5*1/4 = <<16/5*1/4=4/5>>4/5 bushels of corn from the land that was not fallow. ### Answer: 4/5
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?
LLemma 7B:
Reasoning: Jennifer has 31/34 of 21 gallons = <<31/34*21=19.5>>19.5 gallons of lemonade. ### Answer: 19.5
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?
LLemma 7B:
Reasoning: Jane cycles 45*11 = <<45*11=495>>495 km in 45 hours. Jane cycles 495+1 = <<495+1=496>>496 km in total. ### Answer: 496
Expected answer: 496
Correct? Yes
Problem: After cycling the total distance as calculated earlier, Jane realizes she needs to get an object that is 30 km back from her current location. How many kilometers is the object from her starting point?
LLemma 7B:
Reasoning: The object is 30 km from the current location. The object is 30 km from the starting point. ### Answer: 30
Expected answer: 466
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?
LLemma 7B:
Reasoning: George has $21/39 = <<21/39=0.53>>0.53 more than $21. George has $21 + 0.53 = <<21+0.53=21.53>>21.53. ### Answer: 21.53
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?
LLemma 7B:
Reasoning: John biked 46+41 = <<46+41=87>>87 miles. ### Answer: 87
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?
LLemma 7B:
Reasoning: John biked 46+41-8 = <<46+41-8=87>>87 miles. ### Answer: 87
Expected answer: 49
Correct? No
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?
LLemma 7B:
Reasoning: John earns 4*9 = <<4*9=36>>36 dollars in total. ### Answer: 36
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?
LLemma 7B:
Reasoning: John earns 4*39 = <<4*39=156>>156 dollars in total. Each person earns 156/4 = <<156/4=39>>39 dollars individually. ### Answer: 39
Expected answer: 156
Correct? No
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?
LLemma 7B:
Reasoning: Jack has 38 + 41/48 + 23/24 = <<38+41/48+23/24>> dollars. ### Answer: 38+41/48+23/24
Expected answer: 637/16
Correct? Yes
Problem: Following from the previous scenario, if Jack then had to pay 3/45 of a dollar for bus fare, how much money does he have left?
LLemma 7B:
Reasoning: Jack has 38 + 41/48 + 23/24 - 3/45 = <<38+41/48+23/24-3/45>> dollars. ### Answer: 38+41/48+23/24-3/45
Expected answer: 9539/240
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?
LLemma 7B:
Reasoning: Jenny drove 29/43 = <<29/43=0.67>>0.67 hours at the new speed. She drove 0.67*15 = <<0.67*15=10.05>>10.05 miles at the new speed. She drove 32*0.67 = <<32*0.67=21.88>>21.88 miles at the old speed. She drove 21.88+10.05 = <<21.88+10.05=31.93>>31.93 miles altogether. ### Answer: 31.93
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?
LLemma 7B:
Reasoning: 16/31 is a fraction. 16/31 = <<16/31=0.51428571428571428571428571428571>> 32 x 0.51428571428571428571428571428571 = <<32*0.51428571428571428571428571428571=16.2142857142857142857142857142857>> ### Answer: 16.2142857142857142857142857142857
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?
LLemma 7B:
Reasoning: Bob has 3/7 of a dollar. Bob has 3/7 + 3 = <<3/7+3=24/7=3.42857142857142857142857142857143>> dollars. ### Answer: 3.42857142857142857142857142857143
Expected answer: 24/7
Correct? Yes
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. The next day, his grandmother sends him some additional money, exactly 29/47 of a dollar. How much money does Bob have in total now?
LLemma 7B:
Reasoning: Bob has 3/7 + 3 = <<3/7+3=24/7=3.42857142857142857142857142857143>> dollars. Bob has 3/7 + 3 + 29/47 = <<3/7+3+29/47=122/47=2.54285714285714285714285714285714>> dollars. ### Answer: 2.54285714285714285714285714285714
Expected answer: 1331/329
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?
LLemma 7B:
Reasoning: Tom moved 20/50+45/36 = <<20/50+45/36=1.15>>1.15 miles in the first rock. Tom moved 25/22+1.15 = <<25/22+1.15=2.37>>2.37 miles in the second rock. Tom moved 2.37+1.15 = <<2.37+1.15=3.52>>3.52 miles in all. ### Answer: 3.52
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?
LLemma 7B:
Reasoning: 10/42 + 32 - 4/28 = <<10/42+32-4/28=10/42+126-1/7=126(7)-1(7)=125(7)=945/7>>945/7 liters of solution A and B. 11/29 of 945/7 = <<11/29*945/7=11*135/29=11*5=55>>55 liters of solution A and B. ### Answer: 55
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
LLemma 7B:
Reasoning: 24*25 = <<24*25=600>>600 chairs ### Answer: 600
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?
LLemma 7B:
Reasoning: 24*39 = <<24*39=972>>972 chairs ### Answer: 972
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?
LLemma 7B:
Reasoning: 23/35+50/41=<<23/35+50/41=119/126>>119/126 gallon. 28-11/19=<<28-11/19=103/19>>103/19 gallon. ### Answer: 103/19
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?
LLemma 7B:
Reasoning: The total cost is $47 + $6/26 = <<47+6/26=47.23>>$47.23. ### Answer: $47.23
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?
LLemma 7B:
Reasoning: The drone can fly 3-50/43 = <<3-50/43=1.005>>1.005 kilometers without the package and the booster. The drone can fly 3-50/43-47/15 = <<3-50/43-47/15=0.005>>0.005 kilometers with the package and the booster. The drone can fly 1.005+0.005 = <<1.005+0.005=1.01>>1.01 kilometers with the package and the booster attached. ### Answer: 1.01
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?
LLemma 7B:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18+22/9=117/18=6 17/18>>6 17/18 kilometers in a day. ### Answer: 6 17/18
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?
LLemma 7B:
Reasoning: 19/36 = <<19/36=0.52777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
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?
LLemma 7B:
Reasoning: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. John drove 18*36 = <<18*36=648>>648 miles for 36 hours. John drove 648+32/45 = <<648+32/45=672.12121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121
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?
LLemma 7B:
Reasoning: 40/31 miles per minute = <<40/31=1.2727272727272727>>1.2727272727272727 miles per minute. 1.2727272727272727 miles per minute = <<1.2727272727272727=1.27>>1.27 miles per minute. 1.27 miles per minute = <<1.27=0.016666666666666666>>0.016666666666666666 miles per second. 0.016666666666666666 miles per second = <<0.016666666666666666=0.00027777777777777776>>0.00027777777777777776 miles per second. 0.00027777777777777776 miles per second = <<0.00027777777777777776=0.0000000042857142857142856>>0.0000000042857142857142856 miles per second. 0.0000000042857142857142856 miles per second = <<0.0000000042857142857142856=0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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?
LLemma 7B:
Reasoning: John has 21+11 = <<21+11=32>>32 dollars now. ### Answer: 32
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?
LLemma 7B:
Reasoning: John's dad gives John 21+11 = <<21+11=32>>32 dollars. ### Answer: 32
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?
LLemma 7B:
Reasoning: Samuel has 17*33 = <<17*33=561>>561 Euros. He finds 30*33 = <<30*33=990>>990 Euros. He converts all his money to Euros. He has 561+990 = <<561+990=1551>>1551 Euros. ### Answer: 1551
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?
LLemma 7B:
Reasoning: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. Hannah has 5 x 34 = <<5*34=170>>170 coins. ### Answer: 170
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?
LLemma 7B:
Reasoning: 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. Hannah thought she had 5 x 34 = <<5*34=170>>170 coins. Hannah actually has 5 x 27 = <<5*27=135>>135 coins. Hannah has 170 - 135 = <<170-135=35>>35 coins in the piggy banks after correcting her count. ### Answer: 35
Expected answer: 135
Correct? No
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?
LLemma 7B:
Reasoning: Alex has $13/10 + $47/36 = <<13/10+47/36=13/10+47/36=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10+(47*36)/(36*36)=13/10
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?
LLemma 7B:
Reasoning: John had saved 20-19 = <<20-19=1>>1 dollar. ### Answer: 1
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?
LLemma 7B:
Reasoning: John originally had saved 26-19 = <<26-19=7>>7 dollars. ### Answer: 7
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?
LLemma 7B:
Reasoning: Richard 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. ### Answer: <<33/48+26/30+2/36=1.05>>1.05 liters
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?
LLemma 7B:
Reasoning: Jacob has $43 + $46 = <<43+46=89>>89 in his savings account now.
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?
LLemma 7B:
Reasoning: Jacob has $35-$22 = <<35-22=13>>13 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?
LLemma 7B:
Reasoning: Jacob has $13+$36 = <<13+36=49>>49 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?
LLemma 7B:
Reasoning: Jacob has $35-$15 = <<35-15=20>>20 left on his gift card after buying the game. ### 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?
LLemma 7B:
Reasoning: James spent 36/5 dollars on a notepad. James has 32-36/5 = <<32-36/5=12>>12 dollars left after his purchase. ### Answer: 12
Expected answer: 124/5
Correct? No
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?
LLemma 7B:
Reasoning: Tina paid 16/26 of 39 dollars. Tina paid 16/26 x 39 = <<16/26*39=16*39/26=1024/26=39.23076923076923>>39.23 dollars. ### Answer: 39.23
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?
LLemma 7B:
Reasoning: Jaden has $19 in his savings account. If his mother gives him $10 more, Jaden will have $19+$10 = <<19+10=29>>29 in his savings account. ### 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.
LLemma 7B:
Reasoning: John consumes 17 pounds of apples every 8 days. John consumes 48 ounces of apple juice every 42 days. 17 pounds of apples = 17 x 16 = <<17*16=272>>272 ounces of apples. 48 ounces of apple juice = 48 ounces of apple juice. John consumes 272 ounces of apples every 42 days. 272 ounces of apples = 272/16 = <<272/16=17>>17 pounds of apples. 42 days = 42 days. John consumes 17 pounds of apples every 42 days. ### Answer: 17 pounds of apples every 42 days
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?
LLemma 7B:
Reasoning: Maria drove 8*4/7 = <<8*4/7=32/7>>32/7 miles in the first trip. Maria spent 50/4 dollars on gas in the second trip. ### Answer: 32/7 + 50/4 = <<32/7 + 50/4>>
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?
LLemma 7B:
Reasoning: 17 x 49 = <<17*49=823>>823 miles ### Answer: 823
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?
LLemma 7B:
Reasoning: The toy car can now travel an additional 33/40 of a kilometer. The toy car can now travel 37+33/40 = <<37+33/40=37.85>>37.85 kilometers on a single tank of fuel after the modification. ### Answer: 37.85
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?
LLemma 7B:
Reasoning: John traveled for 1/31 + 30/12 + 17/4 = <<1/31 + 30/12 + 17/4>> hours. ### Answer: 1.0000000000000002
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?
LLemma 7B:
Reasoning: 18/33 = <<18/33=0.55>>0.55 miles per hour. After 1 hour, the distance is 45 - 0.55 = <<45-0.55=44.45>>44.45 miles. ### Answer: 44.45
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?
LLemma 7B:
Reasoning: Clara spent 25/6 dollars on ice cream. She had 30 - 25/6 = <<30-25/6=15/6>>15/6 dollars left. She spent 11/21 of her remaining money to buy a book. She spent 11/21 * 15/6 = <<11/21*15/6=55/126>>55/126 dollars on the book. ### Answer: 55/126
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?
LLemma 7B:
Reasoning: 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. John walked 10*2 = <<10*2=20>>20 miles every day for 2 weeks. John walked 20*2 = <<20*2=40>>40 miles every day for 2 weeks. John walked 40+21 = <<40+21=61>>61 miles in total. ### Answer: 61
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?
LLemma 7B:
Reasoning: Susan has 48-18-41/14 = <<48-18-41/14=17.5>>17.5 dollars left after buying the toy. ### Answer: 17.5
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?
LLemma 7B:
Reasoning: Jamie now has 47+47/41 = <<47+47/41=47.10245>>47.10245 dollars in her bank account. ### Answer: 47.10245
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?
LLemma 7B:
Reasoning: Walter had 23/21 + 46 = <<23/21+46=100>>100 dollars originally. ### Answer: 100
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?
LLemma 7B:
Reasoning: The farmer harvests 44/10 * 37 = <<44/10 * 37=154/10=15.4>>15.4 kilograms of honey in a day. The farmer sells 3/37 * 15.4 = <<3/37 * 15.4=15.4/37=0.42>>0.42 kilograms of honey in a day. ### Answer: 15.4, 0.42
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?
LLemma 7B:
Reasoning: Jessica earns 29 dollars per hour. If she works for 14 hours, she will earn 29*14 = <<29*14=396>>396 dollars. ### Answer: 396
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?
LLemma 7B:
Reasoning: 41/39 liters of fuel per minute is the same as <<41/39=1.052631578947368421052631578947>> liters of fuel per minute. Tim will have consumed <<47*1.052631578947368421052631578947=49.171578947368421052631578947368>> liters of fuel. ### Answer: 49.17
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?
LLemma 7B:
Reasoning: The ship carries 17 / 26 tons of cargo for every one of its 39 containers. The ship carries 17 / 26 x 39 = <<17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=17/26*39=
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?
LLemma 7B:
Reasoning: Jessie has $34 + $20 = <<34+20=54>>54 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?
LLemma 7B:
Reasoning: Jessie saves $34 + $20 = <<34+20=54>>54 in the first week. She saves $54 + $54 = <<54+54=108>>108 in the second week. She saves $108 + $108 = <<108+108=216>>216 in the third week. She saves $216 + $216 = <<216+216=432>>432 in the fourth week. She saves $432 + $432 = <<432+432=864>>864 in the fifth week. She saves $864 + $864 = <<864+864=1728>>1728 in the sixth week. She saves $1728 + $1728 = <<1728+1728=3456>>3456 in the seventh week. She saves $3456 + $3456 = <<3456+3456=6912>>6912 in the eighth week. She saves $6912 + $6912 = <<6912+6912=13824>>13824 in the ninth week. She saves $13824 + $13824 = <<13824+13824=27648>>27648 in the tenth week. She saves $27648 + $27648 = <<27648+27648=55296>>55296 in the eleventh week. She saves $55296 + $55296 = <<55296+55296=110592>>110592 in the twelfth week. She saves $110592 + $110592 = <<110592+110592=221184>>221184 in the thirteenth week. She saves $221184 + $221184 = <<221184+221184=442368>>442368 in the fourteenth week. She saves $442368 + $442368 = <<442368+442368=884736>>884736 in the fifteenth week. She saves $884736 + $884736 = <<884736+884736=1769472>>1769472 in the sixteenth week. She saves $1769472 + $1769472 = <<1769472+1769472=3538944>>3538944 in the seventeenth week. She saves $3538944 + $3538944 = <<3538944+3538944=7077888>>7077888 in the eighteenth week. She saves $7077888 + $7077888 = <<7077888+7077888=14155776>>14155776 in the nineteenth week. She saves $14155776 + $14155776 = <<14155776+14155776=28311552>>28311552 in the twentieth week. She saves $28311552 + $28311552 = <<28311552+28311552=56623104>>56623104 in the twenty-first week. She
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?
LLemma 7B:
Reasoning: Jessie has $45 + $20 = <<45+20=65>>65 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?
LLemma 7B:
Reasoning: Derek has $42 + $7 = <<42+7=49>>49 dollars 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?
LLemma 7B:
Reasoning: Derek has $42 - $12 = <<42-12=30>>30 dollars now. ### Answer: 30
Expected answer: 54
Correct? No
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?
LLemma 7B:
Reasoning: The man gets a discount of 43/27 dollars. The man spends 43-43/27 = <<43-43/27=43/1>>43/1 dollars on groceries. The man buys a book worth 13/36 dollars. The man spends 43/1+13/36 = <<43/1+13/36=109/36>>109/36 dollars in total. ### Answer: 109/36
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?
LLemma 7B:
Reasoning: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. Jenna has saved up $45+$50 = <<45+50=95>>95 dollars. After she bought a novel that cost 46/39 dollars, Jenna has left $95-46/39 = <<95-46/39=47.55>>47.55 dollars. ### Answer: 47.55
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?
LLemma 7B:
Reasoning: 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. You have 27/6 - 5/40 + 21/26 = <<27/6 - 5/40 + 21/26>> gallons of water in the tank after all those actions. ### Answer: 27/6 - 5/40 + 21/26 = <<27/6 - 5/40 + 21/26>>
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?
LLemma 7B:
Reasoning: 28*20 = <<28*20=560>>560 miles ### Answer: 560
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?
LLemma 7B:
Reasoning: 28*20 + 22 = <<28*20+22=582>>582 miles ### Answer: 582
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?
LLemma 7B:
Reasoning: 28*32 = <<28*32=896>>896 miles ### Answer: 896
Expected answer: 896
Correct? Yes
Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?
LLemma 7B:
Reasoning: Tom had 48-19 = <<48-19=29>>29 dollars left. ### Answer: 29
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?
LLemma 7B:
Reasoning: Tom had 48-30 = <<48-30=18>>18 dollars left. ### Answer: 18
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?
LLemma 7B:
Reasoning: James earns 49/44 dollars per hour. James earns 49/44 * 1 = <<49/44*1=11/11>>11/11 dollars in an hour. James has 19 + 11/11 = <<19+11/11=20.90909090909091>>20.90909090909091 dollars after working for an hour. ### Answer: 20.90909090909091
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?
LLemma 7B:
Reasoning: The new vendor charges $19 per 30 bags. $19 per 30 bags = $19/30 = $0.63 per bag. The new vendor charges $0.63 per bag. $34 per 8 bags - $0.63 per bag = $33.37 per bag. ### Answer: $33.37
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
LLemma 7B:
Reasoning: Lisa spends$50/46 = <<50/46=1.0769230769>>1.0769230769 per day. ### Answer: 1.0769230769
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?
LLemma 7B:
Reasoning: 22/43 - 18/4 = <<22/43-18/4=1/141>>1/141 liters of juice. You drink <<1/141*22/43=1/2>>1/2 liters of juice. ### Answer: 1/2
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?
LLemma 7B:
Reasoning: John had $31 in his wallet. He spent $4 on a chocolate bar. John has $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?
LLemma 7B:
Reasoning: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. John has $31-$4-$23 = <<31-4-23=14>>14 dollars left after buying the book. ### Answer: 14
Expected answer: 4
Correct? No
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?
LLemma 7B:
Reasoning: 40+26/24 = <<40+26/24=40.5>>40.5 miles per hour ### Answer: 40.5
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?
LLemma 7B:
Reasoning: 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. James bought a jug of milk which contains 33/37+3/25 = <<33/37+3/25=115/975>>115/975 gallons. James bought a jug of milk which contains 115/975 gallons. ### Answer: 115/975
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?
LLemma 7B:
Reasoning: 43/17 + 31/4 = <<43/17 + 31/4>> ### Answer: 115/17
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?
LLemma 7B:
Reasoning: Carrie's car consumes 41/48 = <<41/48=0.85>>0.85 liters of fuel to travel 1/48 = <<1/48=0.02>>0.02 hours. Carrie's car consumes 49/48 = <<49/48=1.05>>1.05 liters of fuel to travel 49/48 = <<49/48=1.05>>1.05 hours. ### Answer: 1.05
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?
LLemma 7B:
Reasoning: Oscar has 33-13/41 = <<33-13/41=23.53>>23.53 left after spending 13/41 of his money. Oscar spent 13/41 of his money on the video game. ### Answer: 13/41
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?
LLemma 7B:
Reasoning: The turtle travels 20+19/6*24 = <<20+19/6*24=100>>100 feet in 24 seconds. ### Answer: 100
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?
LLemma 7B:
Reasoning: 41/49 = <<41/49=0.8333333333333334>>0.8333333333333334. Carlos poured 0.8333333333333334 x 3 = <<0.8333333333333334*3=2.499999999999999>>2.499999999999999 liters of orange juice into the container. ### Answer: 2.499999999999999
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?
LLemma 7B:
Reasoning: 39*5 = <<39*5=195>>195 kilometers ### Answer: 195
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?
LLemma 7B:
Reasoning: 16*5 = <<16*5=80>>80 kilometers ### Answer: 80
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?
LLemma 7B:
Reasoning: Jenny has 3+4/37 = <<3+4/37=3.115>>3.115 dollars altogether. ### Answer: 3.115
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
LLemma 7B:
Reasoning: Henry saved$17*5 = <<17*5=85>>85 in 5 weeks. ### 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?
LLemma 7B:
Reasoning: Henry saved $37*5 = <<37*5=185>>185 in 5 weeks. ### 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?
LLemma 7B:
Reasoning: You have 15-17/23 = <<15-17/23=14.915>>14.915 dollars left in your savings account after buying the sweet. ### Answer: 14.915
Expected answer: 328/23
Correct? No