Gemma 2B on 4.MD.A.2-fraction
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?
Gemma 2B:
Reasoning: Steve started with 38 dollars and spent it evenly over 8 days, so he had 38/8 = <<38/8=5>>5 dollars left. After receiving 11 dollars, he had 5+11 = <<5+11=16>>16 dollars. John started with 18 dollars and spent the same amount of money as Steve had, so he also had 18 dollars left. John found 25 dollars on the street, so he had 18-25 = <<18-25=-7>>-7 dollars now.
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?
Gemma 2B:
Reasoning: You have $45, and the coin is worth $27/30. You have 45 - 27 = <<45-27=18>>18 dollars in total. ### Answer: 18
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?
Gemma 2B:
Reasoning: John has $17 - $8/37 = <<$17 - $8/37 = $159/37>>$159/37 in total. ### Answer: $159/37
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?
Gemma 2B:
Reasoning: After the detour, she covered 47/50 + 31 = <<47/50+31=78/50>>78/50 miles. After adding the extra distance, she traveled 47/50 + 32/24 = <<47/50+32/24=78/50>>78/50 miles. ### Answer: 78
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?
Gemma 2B:
Reasoning: Distance = Speed x Time. Distance = 47 miles per hour x 4 hours = <<47 miles per hour x 4 hours=196 miles>>196 miles. ### Answer: 196
Expected answer: 188
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?
Gemma 2B:
Reasoning: The truck can travel 34/25 + 11 = <<34/25+11=55/25>>55 kilometers on a liter of fuel. If 49 kilometers are added to the journey, the total distance then would be 34/25 + 11 + 49 = <<34/25+11+49=84/25>>84 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?
Gemma 2B:
Reasoning: The energy drink increased his jogging speed by 50/49 = <<50/49>>50/49 times his original speed. Without the energy drink, his jogging speed was 4/22 miles per hour. With the energy drink, his jogging speed was 50/49 * 4/22 = <<50/49 * 4/22=50/49>>50/49 times his original speed. Therefore, if he continued for 46/30 hours, his jogging speed would be 50/49 * 4/22 * 46/30 = <<50/49 * 4/22 * 46/30=50/49>>50/49.
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?
Gemma 2B:
Reasoning: The total gas added at the first station was 9 + 21/36 = <<9+(21/36)=15>>15 gallons. The total gas added at the second station was 26/42 = <<(26/42)=0.625>>0.625 gallons. The total gas in the tank now is 9 + 15 + 0.625 = <<9+15+0.625=24.625>>24.625 gallons. ### Answer: 24.625
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?
Gemma 2B:
Reasoning: After earning 47/8 dollars, John has 6 + 47/8 = <<6+(47/8)=57/8>>57/8 dollars in total. ### Answer: 57/8
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?
Gemma 2B:
Reasoning: After buying the toy, Matthew has $29 - 5 = <<$29-5=$24>>24 dollars. After receiving $8 from his grandmother, he has $24 + 8 = <<$24+8=$32>>32 dollars. ### 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?
Gemma 2B:
Reasoning: 9 barrels * $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?
Gemma 2B:
Reasoning: The cost of 9 barrels of oil increased from $16 to $30, so the refinery would now have to pay $30 * 9 = <<$270>>270 more for the same 9 barrels of oil. ### 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?
Gemma 2B:
Reasoning: After the expansion, the garden will be 11 + 30 = <<11+30=41>>41 feet long. ### Answer: 41
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?
Gemma 2B:
Reasoning: The supermarket is (25 / 41) miles closer to his work than his house. The distance from his house to the supermarket is (17 / 3) - (25 / 41) = <<(17/3)-(25/41)>> miles. ### Answer: (17/3)-(25/41)
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?
Gemma 2B:
Reasoning: After the deposit, the bank has $12 + 36 = $48 in one-dollar bills. ### Answer: $48
Expected answer: 40
Correct? No
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?
Gemma 2B:
Reasoning: Samantha started with $28, and then she found 46/41 dollars on the street, which is equivalent to 1.04 times 28. Therefore, she added 1.04 * 28 = <<1.04*28=28.32>>28.32 dollars to her savings. ### Answer: 28.32
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?
Gemma 2B:
Reasoning: After receiving 14/19 of a dollar, James had 37 - (14/19) = <<37-(14/19)=37-0.75>>37-0.75=36.25>>36. ### Answer: 36
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?
Gemma 2B:
Reasoning: Sophia spends 40/28 = <<40/28=1.42>>1.42 dollars each day for her fuel. ### Answer: 1.42
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?
Gemma 2B:
Reasoning: Roberto took 17/50 of 50 = <<17/50 * 50=17>>17 ounces of juice from the first container. Then he took 34/44 of 17 = <<34/44 * 17=7>>7 ounces of juice from the first container and poured it into the second container. ### Answer: 7 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?
Gemma 2B:
Reasoning: After a certain period of time, John will have 29 + 20(n) dollars, where n is the number of weeks. After a year, the investment account will return 41/11 times 29 + 20(n). Therefore, after a year, John's investment account will have: 29 + 20n = 41/11(29 + 20n) Solving for n, we get: 441 = 1070 + 840n n = 10 Therefore, after a year, John will have $29 + 20(10) = $140 in his investment account.
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?
Gemma 2B:
Reasoning: Maria spent 32/15 euros on the candy bar, so she has 13/3 - 32/15 = <<13/3 - 32/15=13/30-32/15>>13/30-32/15=13/30-32/15. Maria has 13/30 - 32/15 = <<13/30-32/15=13/30-32/15>>13/30-32/15=13/30-32/15. ### Answer: 13/30-32/15
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?
Gemma 2B:
Reasoning: Each piece is 45/44 meters long, so 20 pieces would be 20 * 45/44 = <<20*45/44=15>>15 meters long in total. ### Answer: 15
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?
Gemma 2B:
Reasoning: The first part takes 14 hours to cover 34 miles, and the second part takes 26 hours to cover 21 miles. Together, the first and second parts take 14+26 = <<14+26=40>>40 hours to cover 55 miles. The sprinter covers 55 miles in one hour from both parts together. ### Answer: 55
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?
Gemma 2B:
Reasoning: Tom started with $30, found $14 on the ground, and received $25 as a birthday gift. So, Tom has $30 + 14 + 25 = <<30+14+25=69>>69 dollars now.
Expected answer: 69
Correct? Yes
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?
Gemma 2B:
Reasoning: Jenny ran 41/32 + 11/4 = <<41/32+11/4=77/64>>77/64 miles in the first round and 11/4 = <<11/4>>11/4 miles in the second round. ### Answer: 77/64
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?
Gemma 2B:
Reasoning: John started with $32, and then he found a $33 bill, so he added $33 to $32 = $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?
Gemma 2B:
Reasoning: If John had only $3 initially, then he would have started with $32 - $3 = $29. ### Answer: $29
Expected answer: 36
Correct? No
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?
Gemma 2B:
Reasoning: Carrie covered 7 hours * 35 = <<7*35=245>>245 kilometers in total. ### Answer: 245
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?
Gemma 2B:
Reasoning: John saved $17 in January, $10 in February, so he saved $17+10 = <<$17+$10=$27>>27 in February. John saved $17 + $10 = $27 after February.
Expected answer: 27
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?
Gemma 2B:
Reasoning: The car traveled 41 miles per hour x 20/11 hours = <<41 miles per hour x 20/11 hours=400/11>>400 miles during this trip. ### Answer: 400
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?
Gemma 2B:
Reasoning: Tony bought 38 x 21 = <<38x21=792>>792 dollars in total. ### Answer: 792
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?
Gemma 2B:
Reasoning: To find the total number of liters of gas Johnnie's car would use, we multiply the number of hours he drives by the number of liters he uses per hour. 19 hours x 16 liters/hour = <<19 hours x 16 liters/hour=320>>320 liters of gas. ### Answer: 320
Expected answer: 304
Correct? No
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
Gemma 2B:
Reasoning: On day 19, Joe distributed 40/19 = <<40/19=2>>2 pamphlets each day. Therefore, Joe distributed 40*2 = <<40*2=80>>80 pamphlets in total on day 19. ### Answer: 80
Expected answer: 760
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?
Gemma 2B:
Reasoning: The farmer harvested 16/5 * 42 = <<16/5 * 42=33.2>>33.2 bushels of corn from the land that was not fallow. ### Answer: 33.2
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?
Gemma 2B:
Reasoning: After selling the jug, she has 21 - (31/34) = <<21-(31/34)=14>>14 gallons of lemonade. ### Answer: 14
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?
Gemma 2B:
Reasoning: Jane covers 11 km/h * 45 h = <<11 km/h * 45 h=495>>495 kilometers in 45 hours. Additionally, Jane cycles 1 km, so her total distance is 495 + 1 = <<496>>496 kilometers. ### 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?
Gemma 2B:
Reasoning: The object is 30 km back from her starting point, so we need to add 30 km to her current position. ### Answer: 50
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?
Gemma 2B:
Reasoning: George started with $21, then he found $21/39 = <<$21/39=0.55>>0.55 of a dollar on the street. Therefore, George has $21 - 0.55 = <<$21-0.55=$19.45>>$19.45 now.
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?
Gemma 2B:
Reasoning: John traveled 46 + 41 = <<46+41=87>>87 miles to the town of Baker, and then another 41 miles to the town of Nelson. ### 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?
Gemma 2B:
### Answer: 41
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?
Gemma 2B:
Reasoning: John earns 4 dollars per hour x 9 hours = <<4 dollars per hour x 9 hours=36 dollars>>36 dollars. ### 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?
Gemma 2B:
Reasoning: John and his siblings each earn 4 dollars per hour x 39 hours = <<4 dollars per hour x 39 hours=156 dollars>>156 dollars. ### Answer: 156
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?
Gemma 2B:
Reasoning: After earning 41/48 of a dollar from recycling cans, Jack had 38 + 41/48 = <<38+0.9167>>38.9167 dollars. After finding a quarter, he had 38.9167 + 0.23 = <<38.9167+0.23=40.1467>>40.1467 dollars. ### Answer: 40.1467
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?
Gemma 2B:
Reasoning: If Jenny's speed increased by a factor of 43/15, her speed would be 32/24 * 43/15 = <<32/24 * 43/15=7>>7 times her original speed. Therefore, if Jenny's speed increased by a factor of 43/15, she could travel 32/24 * 43/15 = <<32/24 * 43/15=7>>7 times her original distance. ### Answer: 140
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?
Gemma 2B:
Reasoning: Each child received 16/31 = <<16/31>> 4 litres of paint. Therefore, 32 children received 32 x 4 = <<32 x 4=128>>128 litres of paint altogether. ### Answer: 128
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?
Gemma 2B:
Reasoning: Bob received 3/7 of a dollar, which is equal to 0.333 of a dollar. So, Bob has 3 + 0.333 = <<3+0.333=3.333>>3.333 dollars in total. ### Answer: 3.333
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?
Gemma 2B:
Reasoning: The total time spent moving the rocks was 20/50 + 45/36 = <<(20/50)+(45/36)>> hours. The total distance moved was 25/22 * (20/50) = <<(25/22)*(20/50)=25/36>> miles. ### Answer: 25/36
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?
Gemma 2B:
Reasoning: After removing 4/28 liters, there are 10/42 - 4/28 = <<10/42 - 4/28=6/42>>6/42 liters of solution A remaining. If she extracts 11/29 of the remaining mixture, she takes 11/29 * 6/42 = <<11/29 * 6/42=11/42>>11/42 liters of solution for her experiment.
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
Gemma 2B:
Reasoning: 24 chairs/hour x 25 hours = <<24 chairs/hour x 25 hours=600>>600 chairs would be produced in 25 hours. ### 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?
Gemma 2B:
### Answer: 24
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?
Gemma 2B:
Reasoning: 28 - 11/19 = <<28-(11/19)=28-5.55>>28-5.55=22.45. ### Answer: 22.45
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?
Gemma 2B:
Reasoning: The regular price of a cake is $47. The additional fee for custom designs is $6/design. The total cost is 47 + 6/design = <<47+6/design>>. ### Answer: <<47+6/design>>
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?
Gemma 2B:
Reasoning: The drone can fly 3 - 50/43 = <<3-(50/43)=43/43>>43/43 kilometers with the package. With the additional booster, it can fly 47/15 + 43/43 = <<47/15+43/43=90/60>>90/60 kilometers. Therefore, the drone can fly 3 - 50/43 + 47/15 = <<3-(50/43)+47/15>>90/60 kilometers altogether.
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?
Gemma 2B:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18+22/9>> kilometers every day. ### Answer: 60
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?
Gemma 2B:
Reasoning: A car can travel 36 miles on a 1-gallon tank of gas, so it can travel 19 miles on a 19-gallon tank of gas. ### Answer: 19
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?
Gemma 2B:
Reasoning: John drove 18x36 = <<18x36=648>>648 miles in total. After that, he drove 32/45 = <<32/45=0.67>>0.67 miles. ### Answer: 648+0.67 = 648.67 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?
Gemma 2B:
Reasoning: To find the total distance the car will travel in 10 minutes, we multiply its speed by the time. Distance = Speed x Time = 40/31 * 10 = <<40/31 * 10=133.33>>133.33 miles. ### Answer: 133.33
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?
Gemma 2B:
Reasoning: John started with 21 dollars, and his mom gave him 11 dollars more, so he now has 21+11 = <<21+11=32>>32 dollars. ### 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?
Gemma 2B:
### Answer: 11
Expected answer: 32
Correct? No
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?
Gemma 2B:
Reasoning: Samuel started with $17, found $30 on the street, and converted it to 33 Euros. His final amount in Euros is $17 + 30 - 33 = <<$17>>17.
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?
Gemma 2B:
Reasoning: Hannah has 5 piggy banks, each containing 34 coins. So, Hannah has 5 * 34 = <<5 * 34=170>>170 coins in total. ### 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?
Gemma 2B:
### Answer: 5 * 27 = <<5 * 27=135>>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?
Gemma 2B:
Reasoning: Alex started with $13/10. He found $47/36 on the floor and picked it up, adding to the money he already had. After adding the money he found on the floor, he duplicated the amount of money he had by 43 times, which is 43 * $13/10 = $579/10. Therefore, Alex will have $579/10 in his pocket after he duplicates the amount of money he has by 43 times.
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?
Gemma 2B:
Reasoning: John started with 20 dollars, and he lost 19 dollars, so he has 20-19 = <<20-19=1>>1 dollar left now. ### 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?
Gemma 2B:
Reasoning: John started with 26 dollars, and he lost 19 dollars, so he has 26-19 = <<26-19=7>>7 dollars left now. ### 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?
Gemma 2B:
Reasoning: Richard drank 33/48 of 33 = 11 ounces of wine in the morning. He drank 26/30 of a liter of orange juice, which is equivalent to 0.75 liters. After a few hours, he drank 2/36 of a liter of water, which is equivalent to 0.0666 liters. Therefore, the total volume of the liquid he consumed is 11 + 0.75 + 0.0666 = 11.7566 liters. ### Answer: 11.7566
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?
Gemma 2B:
Reasoning: Jacob started with $43, added $46, and received $27/9, so he ended with $43 + $46 - $27/9 = $50. ### Answer: $50
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?
Gemma 2B:
Reasoning: Jacob started with $35, and he bought a toy for $22, so he had $35 - $22 = <<$35-$22=13>>13 dollars left on his gift card after buying the toy.
Expected answer: 13
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?
Gemma 2B:
Reasoning: After spending 36/5 dollars, James has 32 - 36/5 = <<32-36/5=16>>16 dollars left. ### Answer: 16
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?
Gemma 2B:
Reasoning: Tina paid 39 x 16/26 = <<39 x 16/26=16>>16 dollars for the groceries.
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?
Gemma 2B:
Reasoning: $19 + $10 = $29. Jaden's total amount in his savings account will be $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.
Gemma 2B:
Reasoning: The rate of John's apple to apple juice consumption is 17/48 = 0.3625. Therefore, John's apple to apple juice consumption is 0.3625 or 36.25%.
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?
Gemma 2B:
Reasoning: Maria drove for 8 hours at 4/7 miles per hour, which is 8 * 4/7 = 8 hours. After driving for 8 hours, she had 38 dollars - 50/4 dollars = <<38-50/4=40>>40 dollars of gas. Therefore, the total miles Maria drove and the remaining amount of money she had for gas are 8 hours and 40 dollars, respectively. ### Answer: 8 hours and 40 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?
Gemma 2B:
Reasoning: The runner will run 17 miles each day for 49 days, which is 49 * 17 = <<49 * 17 = 809>>809 miles in total. ### Answer: 809
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?
Gemma 2B:
Reasoning: After the modification, the toy car can travel 37*33/40 = <<37*33/40=29.5>>29.5 kilometers on a single tank of fuel. The total distance the toy car can now travel on a single tank of fuel after the modification is 37 + 29.5 = <<37+29.5=66.5>>66.5 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?
Gemma 2B:
Reasoning: John spent 1/31 of an hour driving, 30/12 hours taking the bus, and 17/4 hours resting. Total time on the move = 1/31 + 30/12 + 17/4 = 105/124 hours. ### Answer: 105/124
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?
Gemma 2B:
Reasoning: After 1 hour, the donkey has covered 18/33 of the 45 miles. Therefore, the effective distance of the well from the village after 1 hour is 45 * (18/33) = <<45 * (18/33)=18>>18 miles. ### Answer: 18
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?
Gemma 2B:
Reasoning: After buying the ice cream, she spent 25/6 - 11/21 = <<25/6 - 11/21=14/63>>14/63 of her remaining money on the book. Therefore, she spent 14/63 of 30 dollars on the book. ### Answer: 14/63
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?
Gemma 2B:
Reasoning: John walked 10 miles every day for 2 weeks, which is 2 * 10 = <<2 * 10=20>>20 days. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination, which is 21 miles. ### Answer: 41
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?
Gemma 2B:
Reasoning: 48-18 = <<48-18=30>>30 dollars she has left after buying the toy. ### Answer: 30
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?
Gemma 2B:
Reasoning: Jamie deposited $47, and the bank added a bonus of 47/41 dollars to her account. So, Jamie now has $47 + 47/41 = <<47+47/41=100/41>>100 dollars in her bank account.
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?
Gemma 2B:
Reasoning: After buying the pen, he paid 23/21 dollars, which is equal to 1.09 times the original price. Original price = 46 ÷ 1.09 = <<46 ÷ 1.09=42.5>>42.5 dollars. ### Answer: 42.5
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?
Gemma 2B:
Reasoning: The number of kilograms of honey harvested in a day is 44/10 * 37 = <<44/10 * 37=176>>176. The number of kilograms of honey sold is 176 * 3/37 = <<176 * 3/37=60>>60. ### Answer: 60
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?
Gemma 2B:
Reasoning: Jessica's earnings are 29 dollars per hour x 14 hours = <<29 dollars per hour x 14 hours=408 dollars>>408 dollars. ### Answer: 408
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?
Gemma 2B:
Reasoning: 47/39 = <<47/39=1.20>>1.20 litres of fuel will be consumed. ### Answer: 1.20
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?
Gemma 2B:
Reasoning: After loading all the containers, the ship will carry 17/26 * 39 = <<17/26 * 39=7>>7 tons of cargo. Therefore, the total tonnage of the cargo on the ship after it loads all 39 containers is 50/11 + 7 = <<50/11 + 7=67>>67 tons. ### Answer: 67
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?
Gemma 2B:
Reasoning: Jessie's savings + $20 = $34. So, Jessie has $34 - $20 = <<$14>>14 dollars now.
Expected answer: 54
Correct? No
Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?
Gemma 2B:
Reasoning: Derek started with $42, and his grandmother gave him $7, so he now has $42 + 7 = <<$42+7=$49>>49 dollars in total. ### 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?
Gemma 2B:
Reasoning: Derek started with $42, and his grandmother gave him $12, so he now has $42 - 12 = <<$42-12=$30>>30 dollars in total. ### 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?
Gemma 2B:
Reasoning: 43-43/27 = <<43-43/27=13>>13 dollars spent in total.
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?
Gemma 2B:
Reasoning: Jenna started with $45, received $50 from her parents, and bought a novel for 46/39 dollars. After the purchase, she had 45 - 50 + 46/39 = <<45-50+46/39=5>>5 dollars left.
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?
Gemma 2B:
Reasoning: After the water is poured out and added, there are 27/6 - 5/40 + 21/26 = <<27/6 - 5/40 + 21/26>> gallons of water in the tank. ### Answer: 27/6
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?
Gemma 2B:
Reasoning: To find the total distance traveled, we multiply the speed by the time. Distance = Speed x Time = 28 miles per hour x 20 hours = <<28 miles per hour x 20 hours=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?
Gemma 2B:
### Answer: 560+22 = 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?
Gemma 2B:
Reasoning: To find the total distance traveled, we multiply the speed by the time. Distance = Speed x Time = 28 miles per hour x 32 hours = <<28 miles per hour x 32 hours=864>>864 miles. ### Answer: 864
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?
Gemma 2B:
Reasoning: 48 - 19 = <<48-19=29>>29 dollars. Tom has 48-19 = <<48-19=29>>29 dollars left in his wallet.
Expected answer: 29
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?
Gemma 2B:
Reasoning: After working for 1 hour, James earns 49/44 * 1 = <<49/44>>dollars. After working for 1 hour, James has 19 + 49/44 = <<19+49/44>>dollars. ### Answer: 23.08
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?
Gemma 2B:
Reasoning: The new vendor charges $19/30 = <<$19/30=0.66>>0.66 less per bag than the old vendor. ### Answer: 0.66
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
Gemma 2B:
Reasoning: Lisa spent 50/46 = <<50/46=1.03>>1.03 dollars per day. ### Answer: 1.03
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?
Gemma 2B:
Reasoning: 22/43 * 18/4 = <<(22/43) * (18/4)=(112/165)>>112/165 liters of juice are consumed. ### Answer: 112/165
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?
Gemma 2B:
Reasoning: John started with $31, and he spent $4, so he 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?
Gemma 2B:
Reasoning: After spending $4, John had $31 - $4 = <<$31-$4=$27>>27 dollars. After buying the book, John had $27 - $23 = <<$27-$23=$4>>4 dollars left. ### 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?
Gemma 2B:
Reasoning: The speed with the wind is 40 + 26/24 = <<40+26/24=53/24>>53/24 miles per hour. After one hour, its speed would be 40 + 53/24 = <<40+53/24=62/24>>62/24 miles per hour.
Expected answer: 493/12
Correct? Yes
Problem: In the previous scenario, where a sports car was traveling on the highway, suppose instead that it initially travels at a speed of 40 miles per hour. However, now it gains an extra speed of 6/24 miles every hour due to a change in the wind's strength. What would be its speed after one hour, considering the new effects of the wind?
Gemma 2B:
### Answer: 53/24
Expected answer: 161/4
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?
Gemma 2B:
Reasoning: After adding the 3/25 gallons, James bought 33/37 + 3/25 = <<(33/37)+(3/25)>=(99/140)>>99/140 gallons of milk in the jug. ### Answer: 99/140
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?
Gemma 2B:
Reasoning: The total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=70/68>>70/68 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?
Gemma 2B:
Reasoning: Carrie has driven for 49/48 hours, which is approximately 5.5 hours. Therefore, her car has consumed 41 x 5.5 = <<41 x 5.5 = 225>>225 liters of fuel. ### Answer: 225
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?
Gemma 2B:
Reasoning: 13/41 * 33 = <<13/41 * 33=6.3>>6.3 dollars he spent on the video game. ### Answer: 6.3
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?
Gemma 2B:
Reasoning: The turtle would travel 19/6 * 24 = <<19/6 * 24=72>>72 feet in 24 seconds if it starts 20 feet ahead from the starting point. ### Answer: 72
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?
Gemma 2B:
Reasoning: Carlos filled 3 - 41/49 = <<(3-41/49)=143/49>>143/49 liters of orange juice into the container. ### Answer: 143/49
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?
Gemma 2B:
Reasoning: The train covers 39 km/h * 5 h = <<39 km/h * 5 h=195 km>>195 kilometers in 5 hours. ### 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?
Gemma 2B:
Reasoning: The train covers 16 km/h * 5 h = <<16 km/h * 5 h=80 km>>80 kilometers in 5 hours. ### 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?
Gemma 2B:
Reasoning: Jenny started with $3, and then found a coin that is worth 4/37 dollars. Therefore, she has 3 + 4/37 = <<(3+4/37) = 117/37>>117/37 dollars altogether.
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
Gemma 2B:
Reasoning: Henry saved $17/week * 5 weeks = <<$17/week * 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?
Gemma 2B:
### Answer: $37
Expected answer: 185
Correct? No
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?
Gemma 2B:
Reasoning: After buying the sweet, you have 15 - 17/23 = <<15-(17/23)=15-7/23>>15-7/23 dollars left in your savings account. ### Answer: 15-7/23
Expected answer: 328/23
Correct? No