Mixtral 8x22B 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?
Mixtral 8x22B:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4.75 dollars per day. Steve received an extra 11 dollars, so he had 38+11 = <<38+11=49>>49 dollars. John spent the same amount of money as Steve had, so John spent 4.75\*8 = <<4.75\*8=38>>38 dollars. John found 25 dollars on the street, so he had 18-38+25 = <<18-38+25=-5+25=20>>20 dollars. ### Answer: 20
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?
Mixtral 8x22B:
Reasoning: The coin found on the street is worth $27/30 = <<27/30=0.9>>0.9 dollars. You have $45 + $0.9 = <<45+0.9=45.9>>45.9 dollars in total. ### Answer: 45.9
Expected answer: 459/10
Correct? Yes
Problem: After picking up the coin worth $27/30, you find another pile of coins. This pile of coins is worth $5/36. How much money do you have in total now?
Mixtral 8x22B:
Reasoning: The second pile of coins is worth $5/36 = <<5/36=0.1388888888888889>>0.1388888888888889 dollars. You have $45.9 + $0.1388888888888889 = <<45.9+0.1388888888888889=46.03888888888889>>46.03888888888889 dollars in total. ### Answer: 46.03888888888889
Expected answer: 8287/180
Correct? No
Problem: Instead of finding a coin worth $27/30, you actually found a coin worth $43/30 when you went to the currency exchange. Now, how much money do you have in total?
Mixtral 8x22B:
Reasoning: The coin found on the street is worth $43/30 = <<43/30=1.4333333333333333>>1.4333333333333333 dollars. You have $45 + $1.4333333333333333 = <<45+1.4333333333333333=46.43333333333333>>46.43333333333333 dollars in total. ### Answer: 46.43333333333333
Expected answer: 1393/30
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?
Mixtral 8x22B:
Reasoning: John has $8/37 = <<8/37=0.2162162162162162>>0.2162162162162162 dollars in loose change. John has $17 + $0.2162162162162162 = <<17+0.2162162162162162=17.216216216216216>>17.216216216216216 dollars in total. ### Answer: 17.216216216216216
Expected answer: 637/37
Correct? Yes
Problem: After totaling his money, John decides to save more by doing some extra tasks. He earns $22 per task. If he completes a number of tasks equal to the total money he currently has, how much money will he have then?
Mixtral 8x22B:
Reasoning: John has $17.216216216216216 in total. John completes 17.216216216216216 tasks and earns 17.216216216216216 \* $22 = <<17.216216216216216\*22=378.75683170731706>>378.75683170731706 dollars. John has $17.216216216216216 + $378.75683170731706 = <<17.216216216216216+378.75683170731706=395.97304791863328>>395.97304791863328 dollars in total. ### Answer: 395.97304791863328
Expected answer: 14014/37
Correct? No
Problem: John initially thought he had $17 in his bank account. However, he recently discovered that he actually had $7 instead. If he still has the same amount of loose change amounting to $8/37 on his desk, what is his new total amount of money?
Mixtral 8x22B:
Reasoning: John has $8/37 = <<8/37=0.2162162162162162>>0.2162162162162162 dollars in loose change. John has $7 + $0.2162162162162162 = <<7+0.2162162162162162=7.216216216216216>>7.216216216216216 dollars in total. ### Answer: 7.216216216216216
Expected answer: 267/37
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?
Mixtral 8x22B:
Reasoning: Sally initially traveled 47/50 * 1 mile = <<47/50*1=0.94>>0.94 miles. Then, she rode another 31 miles, so the total distance for the first day was 0.94 + 31 = <<0.94+31=31.94>>31.94 miles. For the next 28 days, she completed the same distance, so the total distance for those days was 28 * 31.94 = <<28*31.94=894.32>>894.32 miles. One day, she added an extra 32/24 miles to her regular bike route, which is 32/24 = <<32/24=1.3333333333333333>>1.3333333333333333 miles. So, the total distance she traveled after adding the extra traveling distance was 894.32 + 1.3333333333333333 = <<894.32+1.3333333333333333=895.6533333333333>>895.6533333333333 miles. ### Answer: 895.6533333333333
Expected answer: 67174/75
Correct? Yes
Problem: In the previous problem, Sally initially hesitated and traveled only 47/50 of a mile before gaining confidence and biking 31 miles each day. But what if we consider a scenario where Sally initially traveled a slightly longer distance before gaining confidence? Instead of 47/50 of a mile, she managed to cover 47/42 of a mile in her hesitant stage. Like before, she then rides 31 more miles after gaining confidence and continues this same distance every day for the next 28 days. On the day when she decided to detour, she still added an extra 32/24 miles to her regular bike route. In this scenario, how many miles in total did she travel after adding the extra traveling distance?
Mixtral 8x22B:
Reasoning: Sally initially traveled 47/42 * 1 mile = <<47/42*1=1.119047619047619>>1.119047619047619 miles. Then, she rode another 31 miles, so the total distance for the first day was 1.119047619047619 + 31 = <<1.119047619047619+31=32.11904761904762>>32.11904761904762 miles. For the next 28 days, she completed the same distance, so the total distance for those days was 28 * 32.11904761904762 = <<28*32.11904761904762=899.3333333333333>>899.3333333333333 miles. One day, she added an extra 32/24 miles to her regular bike route, which is 32/24 = <<32/24=1.3333333333333333>>1.3333333333333333 miles. So, the total distance she traveled after adding the extra traveling distance was 899.3333333333333 + 1.3333333333333333 = <<899.3333333333333+1.3333333333333333=900.6666666666666>>900.6666666666666 miles. ### Answer: 900.6666666666666
Expected answer: 2702/3
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?
Mixtral 8x22B:
Reasoning: The train travels 47 miles per hour \* 4 hours = <<47\*4=188>>188 miles in that time. ### Answer: 188 miles <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS
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?
Mixtral 8x22B:
Reasoning: The train travels 47 miles per hour \* 18 hours = <<47\*18=846>>846 miles in that time. ### Answer: 846 miles
Expected answer: 846
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The truck can travel 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, the total distance the truck can travel before running out of fuel is 34/25 + 11 = <<34/25+11=1.36+11=12.36>>12.36 kilometers. If an additional 49 kilometers are added to the journey, the total distance would be 12.36 + 49 = <<12.36+49=61.36>>61.36 kilometers. ### Answer: 61.36
Expected answer: 1534/25
Correct? Yes
Problem: Instead of the previous scenario, now consider that the truck can travel a distance of 30 kilometers more than the distance it can cover on one liter of fuel which is 34/25 kilometers. If an additional 49 kilometers are then added to the journey, what would be the total distance then?
Mixtral 8x22B:
Reasoning: The truck can travel 34/25 kilometers on a liter of fuel. If the truck can travel 30 kilometers more than that, the total distance the truck can travel before running out of fuel is 34/25 + 30 = <<34/25+30=1.36+30=31.36>>31.36 kilometers. If an additional 49 kilometers are added to the journey, the total distance would be 31.36 + 49 = <<31.36+49=80.36>>80.36 kilometers. ### Answer: 80.36
Expected answer: 2009/25
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?
Mixtral 8x22B:
Reasoning: John's jogging speed without the energy drink was 4/22 miles per hour. The energy drink increased his speed by 50/49 miles per hour. So, his new speed would be 4/22 + 50/49 = <<(4/22) + (50/49)=(200/1078) + (5000/1078)=5200/1078>>5200/1078 miles per hour. If he continued jogging at this speed for 46/30 hours, he would cover a distance of 5200/1078 \* 46/30 = <<(5200/1078) \* (46/30)=(239200/32340)=7.396...>>7.396... miles. ### Answer: 7.396... miles
Expected answer: 4968/2695
Correct? No
Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?
Mixtral 8x22B:
Reasoning: The truck driver adds 21/36 gallons of gas to his tank, which is equivalent to 7/12 gallons (since 21/36 = 7/12). He then adds another 26/42 gallons of gas, which is equivalent to 13/21 gallons (since 26/42 = 13/21). The total amount of gas in the tank is now 9 + 7/12 + 13/21 gallons. To add these fractions, we need a common denominator. The least common multiple of 12 and 21 is 84. So, we convert the fractions to have a denominator of 84: 7/12 = 49/84 13/21 = 52/84 Now, we can add the fractions: 9 + 49/84 + 52/84 = 9 + 101/84 = 9 + 1 + 19/84 = 10 + 19/84 = 10 + 0.2262 (rounded to four decimal places) = 10.2262 gallons. ### Answer: 10.2262 gallons
Expected answer: 857/84
Correct? No
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?
Mixtral 8x22B:
Reasoning: John earns 47/8 = <<47/8=5.875>>5.875 dollars from mowing his neighbor's lawn. John now has 6 + 5.875 = <<6+5.875=11.875>>11.875 dollars in total. ### Answer: 11.875
Expected answer: 95/8
Correct? Yes
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. After that, his dad gives him an extra 41/10 dollars for cleaning the house. How much money does John now have in total?
Mixtral 8x22B:
Reasoning: John earns 47/8 = <<47/8=5.875>>5.875 dollars from mowing his neighbor's lawn. John's dad gives him an extra 41/10 = <<41/10=4.1>>4.1 dollars for cleaning the house. John now has 6 + 5.875 + 4.1 = <<6+5.875+4.1=15.975>>15.975 dollars in total. ### Answer: 15.975
Expected answer: 639/40
Correct? No
Problem: In the previous problem, John originally had 6 dollars in his pocket. But what if he initially had 33 dollars instead? If he then earns an additional 47/8 dollars from mowing his neighbor's lawn, how much money would he have now?
Mixtral 8x22B:
Reasoning: John earns 47/8 = <<47/8=5.875>>5.875 dollars from mowing his neighbor's lawn. John now has 33 + 5.875 = <<33+5.875=38.875>>38.875 dollars in total. ### Answer: 38.875
Expected answer: 311/8
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?
Mixtral 8x22B:
Reasoning: Matthew has $29 - $5 = <<29-5=24>>24 left after buying the toy. Matthew receives $8 from his grandmother, so he has $24 + $8 = <<24+8=32>>32 now. ### 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?
Mixtral 8x22B:
Reasoning: The cost of 9 barrels of oil is 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?
Mixtral 8x22B:
Reasoning: The new cost of 9 barrels of oil is 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?
Mixtral 8x22B:
Reasoning: Amy first expands her garden by 30 feet, making it 11+30 = <<11+30=41>>41 feet long. Then, she decides to further extend the garden by 30/13 = <<30/13=2.3076923076923078>>2.3076923076923078 feet. The total length of her garden after all the expansions will be 41+2.3076923076923078 = <<41+2.3076923076923078=43.30769230769231>>43.30769230769231 feet. ### Answer: 43.30769230769231 feet
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?
Mixtral 8x22B:
Reasoning: The supermarket is (25 / 41) miles closer to John's work than his house. So, the distance from the supermarket to John's work is (17 / 3) - (25 / 41) = <<(17 / 3) - (25 / 41)=(713/123)>>713/123 miles. ### Answer: 713/123 miles
Expected answer: 622/123
Correct? No
Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?
Mixtral 8x22B:
Reasoning: The bank originally had $12 in one-dollar bills. They received an additional $36, making the total amount of money they have $12 + $36 = <<12+36=48>>48. After paying 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?
Mixtral 8x22B:
Reasoning: The bank originally had $12 in one-dollar bills. They received an additional $36, making the total amount of money they have $12 + $36 = <<12+36=48>>48. After paying out $8, the bank now has $48 - $8 = <<48-8=40>>40 in one-dollar bills. The bank then received an uncommon payment of $19/11, which is approximately $1.73 (rounded to the nearest cent). The bank now has $40 + $1.73 = <<40+1.73=41.73>>41.73 in one-dollar bills. However, since the bank can only have whole dollar bills, the bank has $41 in one-dollar bills and $0.73 in change. ### Answer: 41 (with $0.73 in change)
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?
Mixtral 8x22B:
Reasoning: The bank originally had $12 in one-dollar bills. They received an additional $22, making the total amount of money they have $12 + $22 = <<12+22=34>>34. After paying 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?
Mixtral 8x22B:
Reasoning: Samantha found 46/41 = <<46/41=1.1219512195121951>>1.1219512195121951 dollars in coins. Samantha has $28 + $1.1219512195121951 = <<28+1.1219512195121951=29.121951219512195>>$29.121951219512195 in her bank account. ### Answer: $29.121951219512195
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?
Mixtral 8x22B:
Reasoning: James's little brother gave him 14/19 * $1 = <<14/19*1=0.7368421052631579>>$0.7368421052631579. James now has $37 + $0.7368421052631579 = <<37+0.7368421052631579=37.7368421052631579>>$37.7368421052631579. ### Answer: $37.7368421052631579
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?
Mixtral 8x22B:
Reasoning: Sophia spends 40 dollars every 28 days, so she spends 40/28 = <<40/28=1.4285714285714286>>1.4285714285714286 dollars per day. ### Answer: 1.4285714285714286 dollars per day
Expected answer: 10/7
Correct? No
Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?
Mixtral 8x22B:
Reasoning: Roberto splits the juice into 17 equal parts, so each part is 50/17 = <<50/17=2.9411764705882353>>2.9411764705882353 ounces. He takes the juice from one part, so he has 2.9411764705882353 ounces in the first container. He then takes 34/44 of what is in that container, so he takes 34/44 \* 2.9411764705882353 = <<34/44\*2.9411764705882353=2.2411764705882353>>2.2411764705882353 ounces and pours it into the second container. ### Answer: 2.2411764705882353 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?
Mixtral 8x22B:
Reasoning: John needs $40 - $29 = <<40-29=11>>$11 more to buy the video game. John saves 20/48 * $11 = <<20/48*11=4.583333333333333>>$4.58 (rounded to two decimal places) every week. John saves $4.58 * 52 = <<4.58*52=238.16>>$238.16 (rounded to two decimal places) in a year. John invests $29 + $238.16 = <<29+238.16=267.16>>$267.16 (rounded to two decimal places) in the investment account. John will have $267.16 * 41/11 = <<267.16*41/11=1000.0000000000001>>$1000.00 (rounded to two decimal places) in his investment account after a year. ### Answer: $1000.00
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?
Mixtral 8x22B:
Reasoning: Maria starts with 13/3 euros. She buys a candy bar that costs 32/15 euros. To find out how much money Maria has left, we need to subtract the cost of the candy bar from the amount of money she started with. 13/3 - 32/15 = (13 \* 5) / (3 \* 5) - (32 \* 1) / (15 \* 1) = 65/15 - 32/15 = 33/15 euros. ### Answer: 33/15 euros
Expected answer: 11/5
Correct? Yes
Problem: Now, let's consider a different scenario. Suppose Maria initially starts with 36/3 euros in her pocket instead of 13/3 euros. After buying the same candy bar that costs 32/15 euros, how much money would Maria have left then?
Mixtral 8x22B:
Reasoning: Maria starts with 36/3 euros. She buys a candy bar that costs 32/15 euros. To find out how much money Maria has left, we need to subtract the cost of the candy bar from the amount of money she started with. 36/3 - 32/15 = (36 \* 5) / (3 \* 5) - (32 \* 1) / (15 \* 1) = 180/15 - 32/15 = 148/15 euros. ### Answer: 148/15 euros
Expected answer: 148/15
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Each piece of lumber is 45/44 meters long. 20 pieces of such lumber would be 20 \* 45/44 = <<20\*45/44=20.454545454545453>>20.454545454545453 meters long in total. ### Answer: 20.454545454545453 meters
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?
Mixtral 8x22B:
Reasoning: The sprinter runs the first part at a speed of 34/14 = <<34/14=2.4285714285714284>>2.4285714285714284 miles per hour. The sprinter runs the second part at a speed of 21/26 = <<21/26=0.8076923076923077>>0.8076923076923077 miles per hour. The sprinter covers a total distance of 2.4285714285714284 + 0.8076923076923077 = <<2.4285714285714284+0.8076923076923077=3.236263736263736>>3.236263736263736 miles in one hour from both parts together. ### Answer: 3.236263736263736
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?
Mixtral 8x22B:
Reasoning: Tom found $14, so he had $30 + $14 = <<30+14=44>>44 dollars. Tom received $25 as a birthday gift, so he now has $44 + $25 = <<44+25=69>>69 dollars. ### 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?
Mixtral 8x22B:
Reasoning: Tom has $69 and earns an additional 37/33 dollars. To find out how much this is in dollars, we can calculate 37/33 = <<37/33=1.1212121212121213>>1.1212121212121213 (rounded to 15 decimal places). Tom now has $69 + $1.12 = <<69+1.12=70.12>>70.12 dollars. ### Answer: 70.12
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?
Mixtral 8x22B:
Reasoning: Jenny ran 41/32 + 11/4 = <<41/32 + 11/4 = 1.28125 + 2.75 = 4.03125>>4.03125 miles in total. ### Answer: 4.03125 miles
Expected answer: 129/32
Correct? No
Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?
Mixtral 8x22B:
Reasoning: John had $32 and found a $33 bill, so he now has $32 + $33 = <<32+33=65>>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?
Mixtral 8x22B:
Reasoning: If John initially had $3 in his wallet and found a $33 bill, he would have had $3 + $33 = <<3+33=36>>36 before buying the video game. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?
Mixtral 8x22B:
Reasoning: Carrie rode her bike for 7 + 38/25 = <<7+38/25=7.52>>7.52 hours in total. Carrie was able to cover 35 \* 7.52 = <<35\*7.52=263.2>>263.2 kilometers in total. ### Answer: 263.2
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?
Mixtral 8x22B:
Reasoning: John saved $17 in January and added $10 in February. John has saved a total of $17 + $10 = <<17+10=27>>27 after February. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?
Mixtral 8x22B:
Reasoning: John had $27 after February and added $14 in March. John has saved a total of $27 + $14 = <<27+14=41>>41 after March. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
Mixtral 8x22B:
Reasoning: John initially saved $28 in January and added $10 in February. John would have saved a total of $28 + $10 = <<28+10=38>>38 after February. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?
Mixtral 8x22B:
Reasoning: The car travels 41 miles per hour * 20/11 hours = <<41\*(20/11)=74>>74 miles during this trip. ### Answer: 74 miles
Expected answer: 820/11
Correct? No
Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?
Mixtral 8x22B:
Reasoning: Tony spent 38 \* 21 = <<38\*21=818>>818 dollars in total on his book collection. ### Answer: 818
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?
Mixtral 8x22B:
Reasoning: Johnnie's car uses 16 \* 19 = <<16\*19=304>>304 liters of gas if he drives continuously for 19 hours. ### 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?
Mixtral 8x22B:
Reasoning: Johnnie's car uses 16 \* 19 = <<16\*19=304>>304 liters of gas if he drives continuously for 19 hours. Johnnie already had 17 liters of gas in his tank before starting the journey, so he needs 304 - 17 = <<304-17=287>>287 more liters of gas to complete his drive. ### Answer: 287
Expected answer: 287
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?
Mixtral 8x22B:
Reasoning: Johnnie's car uses 16 \* 39 = <<16\*39=624>>624 liters of gas if he drives continuously for 39 hours. ### 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?
Mixtral 8x22B:
Reasoning: Joe distributes 40 pamphlets each day. On day 19, Joe has distributed 19*40 = <<19\*40=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?
Mixtral 8x22B:
Reasoning: Joe initially distributed 760 pamphlets. After destroying 5 pamphlets, Joe has actually distributed 760-5 = <<760-5=755>>755 pamphlets. ### Answer: 755
Expected answer: 755
Correct? Yes
Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?
Mixtral 8x22B:
Reasoning: Joe was supposed to distribute 27 pamphlets each day. After 19 days, Joe should have distributed 19*27 = <<19\*27=513>>513 pamphlets. ### 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?
Mixtral 8x22B:
Reasoning: The farmer has 42 - 49/4 = <<42-49/4=39.75>>39.75 acres of land that was not fallow. The farmer harvested 16/5 \* 39.75 = <<16/5\*39.75=127.2>>127.2 bushels of corn from the land that was not fallow. ### Answer: 127.2
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?
Mixtral 8x22B:
Reasoning: Jennifer originally had 21 gallons of lemonade in the jug. Due to evaporation, she only receives 31/34 of the original volume. So, she has 21 \* 31/34 = <<21\*31/34=19.5>>19.5 gallons of lemonade left after selling a full jug. ### Answer: 19.5 gallons
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?
Mixtral 8x22B:
Reasoning: Jane cycles 11 km/h * 45 h = <<11*45=495>>495 km in the first 45 hours. Jane cycles an additional 1 km. Jane cycles a total of 495 km + 1 km = <<495+1=496>>496 km. ### 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?
Mixtral 8x22B:
Reasoning: Jane cycled a total of 496 km. Jane needs to cycle back 30 km. The object is 496 km - 30 km = <<496-30=466>>466 km from her starting point. ### Answer: 466
Expected answer: 466
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: George found $21/39 = <<21/39=0.5384615384615384>>0.5384615384615384 (rounded to 10 decimal places) worth of change on the street. George now has $21 + $0.5384615384615384 = <<21+0.5384615384615384=21.538461538461538>>$21.538461538461538 (rounded to 10 decimal places). ### Answer: $21.538461538461538
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?
Mixtral 8x22B:
Reasoning: John biked 46 + 41 = <<46+41=87>>87 miles in total. ### 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?
Mixtral 8x22B:
Reasoning: John biked 8 + 41 = <<8+41=49>>49 miles in total. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: Each person earns 4 \* 39 = <<4\*39=156>>156 dollars individually. ### 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?
Mixtral 8x22B:
Reasoning: Jack earned 41/48 of a dollar from recycling cans, which is equal to <<41/48=0.8541666666666666>>0.8541666666666666 dollars. Jack found a quarter, which is equal to 23/24 of a dollar, or <<23/24=0.9583333333333333>>0.9583333333333333 dollars. Jack now has 38 + 0.8541666666666666 + 0.9583333333333333 = <<38+0.8541666666666666+0.9583333333333333=39.8125>>39.8125 dollars. ### Answer: 39.8125
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?
Mixtral 8x22B:
Reasoning: Jack had to pay 3/45 of a dollar for bus fare, which is equal to <<3/45=0.06666666666666667>>0.06666666666666667 dollars. Jack now has 39.8125 - 0.06666666666666667 = <<39.8125-0.06666666666666667=39.74583333333333>>39.74583333333333 dollars left. ### Answer: 39.74583333333333
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?
Mixtral 8x22B:
Reasoning: Jenny's original speed was 32/24 = <<32/24=1.3333333333333333>>1.3333333333333333 miles per hour. Her new speed would be 1.3333333333333333 \* 43/15 = <<1.3333333333333333\*43/15=3.7333333333333335>>3.7333333333333335 miles per hour. Jenny could travel 29 \* 3.7333333333333335 = <<29\*3.7333333333333335=108.26666666666667>>108.26666666666667 miles with her new speed. ### Answer: 108.26666666666667 miles
Expected answer: 4988/45
Correct? No
Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?
Mixtral 8x22B:
Reasoning: Each child received 16/31 litres of paint. There were 32 children in the class. The total amount of paint distributed to all the students is 32 \* 16/31 = <<32\*16/31=16>>16 litres. ### Answer: 16 litres
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?
Mixtral 8x22B:
Reasoning: 3/7 of a dollar is equal to $0.43 (rounded to the nearest cent). Bob has $3 + $0.43 = <<3+0.43=3.43>>$3.43 in total. ### Answer: $3.43
Expected answer: 24/7
Correct? No
Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?
Mixtral 8x22B:
Reasoning: The first rock was moved for 20/50 = <<20/50=0.4>>0.4 hours. The second rock was moved for 45/36 = <<45/36=1.25>>1.25 hours. Tom moved the first rock for a distance of 0.4 \* 25/22 = <<0.4\*25/22=0.45454545454545453>>0.45454545454545453 miles. Tom moved the second rock for a distance of 1.25 \* 25/22 = <<1.25\*25/22=1.409090909090909>>1.409090909090909 miles. Tom moved the rocks for a total distance of 0.45454545454545453 + 1.409090909090909 = <<0.45454545454545453+1.409090909090909=1.8636363636363635>>1.8636363636363635 miles. ### Answer: 1.8636363636363635 miles
Expected answer: 15/8
Correct? No
Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?
Mixtral 8x22B:
Reasoning: The scientist initially mixes 10/42 + 32 = <<10/42+32=32.142857142857146>>32.142857142857146 liters of solution. She then removes 4/28 = <<4/28=0.14285714285714285>>0.14285714285714285 liters from the mixture, leaving her with 32.142857142857146 - 0.14285714285714285 = <<32.142857142857146-0.14285714285714285=32>>32 liters of solution. She then extracts 11/29 of the remaining mixture for her experiment, which is 11/29 * 32 = <<11/29\*32=12.413793103448276>>12.413793103448276 liters. ### Answer: 12.413793103448276
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
Mixtral 8x22B:
Reasoning: The factory produces 24*25 = <<24\*25=600>>600 chairs 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?
Mixtral 8x22B:
Reasoning: The factory produces 24*39 = <<24\*39=936>>936 chairs in 39 hours. ### Answer: 936
Expected answer: 936
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The first container contains 23/35 gallon and the second container contains 50/41 gallon. To find the total amount of juice, we need to add the two amounts together: 23/35 + 50/41 = (23\*41 + 50\*35) / (35\*41) = (943 + 1750) / 1435 = 2693 / 1435 = 1.875 gallons (approximately) The total amount of juice is 1.875 gallons. The bottle can hold 28 gallons, so after transferring the juice into the bottle, there is 28 - 1.875 = 26.125 gallons of space left in the bottle. After subtracting 11/19 gallon which was drunk by a customer, there is 26.125 - 11/19 = 26.125 - 0.5789 = 25.5461 gallons of space left in the bottle. ### Answer: 25.5461 gallons
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?
Mixtral 8x22B:
Reasoning: The additional fee for a custom design is $6/26 = <<6/26=0.23076923076923078>>0.23076923076923078 (rounded to 10 decimal places). The total cost for a regular cake with a custom design is $47 + $0.23076923076923078 = <<47+0.23076923076923078=47.23076923076923>>$47.23076923076923 (rounded to 10 decimal places). ### Answer: $47.23076923076923 (rounded to 10 decimal places)
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?
Mixtral 8x22B:
Reasoning: The drone can fly 3 - 50 / 43 = <<3-50/43=2.857142857142857>>2.857142857142857 kilometers with the package. The drone can fly 2.857142857142857 + 47 / 15 = <<2.857142857142857+47/15=3.571428571428571>>3.571428571428571 kilometers with the package and the additional booster attached. ### Answer: 3.571428571428571
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?
Mixtral 8x22B:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18 + 22/9 = 11/6>>11/6 kilometers every day. ### Answer: 11/6 kilometers
Expected answer: 29/6
Correct? No
Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?
Mixtral 8x22B:
Reasoning: The car can travel 36 \* 19 = <<36\*19=684>>684 miles without needing to refuel. ### Answer: 684 miles
Expected answer: 684
Correct? Yes
Problem: The car had previously been calculated to travel 36 miles per gallon over 19 gallons. However, the measurement turned out to be incorrect and it was actually 50 miles per gallon over the same 19 gallons fuel. What would be the total distance the car could travel on a full tank with this new mileage measurement?
Mixtral 8x22B:
Reasoning: The car can travel 50 \* 19 = <<50\*19=950>>950 miles on a full tank with the new mileage measurement. ### Answer: 950 miles
Expected answer: 950
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: John drove 18 miles/hour * 36 hours = <<18*36=648>>648 miles in the first 36 hours. John drove an extra 32/45 miles, which is approximately 0.7111 miles. John drove a total of 648 + 0.7111 = <<648+0.7111=648.7111>>648.7111 miles. ### Answer: 648.7111 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?
Mixtral 8x22B:
Reasoning: The car travels at a speed of 40/31 miles per minute. In 10 minutes, the car will travel 10 \* (40/31) = <<10*(40/31)=12.903225806451613>>12.903225806451613 miles. ### Answer: 12.903225806451613 miles
Expected answer: 400/31
Correct? No
Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: John has 21+11 = <<21+11=32>>32 dollars now. John's dad gives him 32 dollars to match what John has. ### 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?
Mixtral 8x22B:
Reasoning: Samuel has $17 + $30 = <<$17+$30=$47>>$47. $47 is equivalent to 33 Euros. ### Answer: 33 Euros
Expected answer: 2209/33
Correct? No
Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: Hannah has 5 \* 27 = <<5\*27=135>>135 coins in total after correcting her count. ### Answer: 135
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?
Mixtral 8x22B:
Reasoning: Alex has $13/10 + $47/36 = <<13/10 + 47/36 = 1.3 + 1.3055555555555556 = 2.6055555555555556>>2.6055555555555556 in his pocket. If he duplicates the amount of money he has by 43 times, he will have 2.6055555555555556 \* 43 = <<2.6055555555555556 \* 43 = 112.03888888888888>>112.03888888888888. ### Answer: 112.03888888888888
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?
Mixtral 8x22B:
Reasoning: John lost 20-19 = <<20-19=1>>1 dollar. John has 1 dollar left. ### 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?
Mixtral 8x22B:
Reasoning: John lost 26-19 = <<26-19=7>>7 dollars. John has 7 dollars left. ### 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?
Mixtral 8x22B:
Reasoning: Richard drank 33/48 \* 33 = <<33/48\*33=23.75>>23.75 ounces of wine. Since 1 liter = 33.814 ounces, Richard drank 26/30 \* 33.814 = <<26/30\*33.814=29.432666666666668>>29.432666666666668 ounces of orange juice. Richard drank 2/36 \* 33.814 = <<2/36\*33.814=1.8785555555555555>>1.8785555555555555 ounces of water. The total volume of the liquid he consumed is 23.75 + 29.432666666666668 + 1.8785555555555555 = <<23.75+29.432666666666668+1.8785555555555555=55.06122222222222>>55.06122222222222 ounces. ### Answer: 55.06122222222222 ounces
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?
Mixtral 8x22B:
Reasoning: Jacob adds $46 to his account, so he has $43 + $46 = <<43+46=89>>89 in his account. Jacob receives an additional $27/9 = <<27/9=3>>3 from his aunt, so he has $89 + $3 = <<89+3=92>>92 in his account now. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: In continuation of the above, Jacob now decides to purchase a new video game that costs $25. After purchasing the video game, what is the new balance in his savings account?
Mixtral 8x22B:
Reasoning: Jacob has $92 in his account and he purchases a video game for $25, so he has $92 - $25 = <<92-25=67>>67 left in his account. ### Answer: 67
Expected answer: 67
Correct? Yes
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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: James spent 36/5 = <<36/5=7.2>>7.2 dollars on a notepad. James has 32 - 7.2 = <<32-7.2=24.8>>24.8 dollars left after his purchase. ### Answer: 24.8
Expected answer: 124/5
Correct? Yes
Problem: In the original problem, James spent 36/5 dollars on a notepad. What if he spent less on the notepad? If James initially had 32 dollars and spent 20/5 dollars on the notepad instead, how much money would he have left?
Mixtral 8x22B:
Reasoning: James spent 20/5 = <<20/5=4>>4 dollars on the notepad. James has 32 - 4 = <<32-4=28>>28 dollars left after his purchase. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?
Mixtral 8x22B:
Reasoning: Tina had to pay 16/26 * 39 = <<16/26*39=24>>24 dollars for the groceries. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After checking her receipts carefully, Tina realized she had made another mistake. Instead of paying 16/26 of the original amount, she had actually paid 42/26. How much did she really end up paying for her groceries?
Mixtral 8x22B:
Reasoning: Tina had to pay 42/26 * 39 = <<42/26*39=63>>63 dollars for the groceries. ### Answer: 63
Expected answer: 63
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Jaden has $19 + $10 = <<19+10=29>>29 in his savings account. ### Answer: 29 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
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.
Mixtral 8x22B:
Reasoning: John buys 17 pounds of apples every 8 days, which is equivalent to 17 \* 16 = <<17\*16=272>>272 ounces of apples every 8 days (since 1 pound = 16 ounces). John consumes 48 ounces of apple juice every 42 days. To find the rate of John's apple to apple juice consumption, we need to find out how many ounces of apples he consumes in the same time period as he consumes 48 ounces of apple juice. Since 42 days is 5.25 times longer than 8 days (42/8 = <<42/8=5.25>>5.25), John consumes 272 \* 5.25 = <<272\*5.25=1428>>1428 ounces of apples in 42 days. Therefore, the rate of John's apple to apple juice consumption is 1428 ounces of apples to 48 ounces of apple juice, which simplifies to 29.75 ounces of apples to 1 ounce of apple juice (1428/48 = <<1428/48=29.75>>29.75). ### Answer: 29.75 ounces of apples to 1 ounce of apple juice
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?
Mixtral 8x22B:
Reasoning: Maria drove 8 \* 4/7 = <<8\*4/7=32/7>>32/7 miles in the first trip. Maria spent 50/4 = <<50/4=12.5>>12.5 dollars on gas, so she had 38 - 12.5 = <<38-12.5=25.5>>25.5 dollars remaining. The summation of the total miles Maria drove and the remaining amount of money she had for gas is 32/7 + 25.5 = <<32/7+25.5=25.5+32/7=25.5+4.571428571428571=30.07142857142857>>30.07142857142857. ### Answer: 30.07142857142857
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?
Mixtral 8x22B:
Reasoning: The runner runs 17 miles each day for 49 days, so they will have run 17 \* 49 = <<17\*49=833>>833 miles in total. ### Answer: 833
Expected answer: 833
Correct? Yes
Problem: The runner, still training for the marathon, now chooses a different route that is 37 miles long and runs this route for 17 days. How many miles will they have run after completing this new route for 17 days?
Mixtral 8x22B:
Reasoning: The runner runs a 37-mile route for 17 days, so they will have run 37 \* 17 = <<37\*17=629>>629 miles in total. ### Answer: 629
Expected answer: 629
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The toy car can now travel an additional 33/40 of a kilometer, which is equal to 0.825 kilometers. The total distance the toy car can now travel on a single tank of fuel after the modification is 37 + 0.825 = <<37+0.825=37.825>>37.825 kilometers. ### Answer: 37.825
Expected answer: 1513/40
Correct? Yes
Problem: The toy car with the modification from the previous problem can travel on different surfaces. On an uphill road, the car can travel an additional 45/29 kilometers on a single tank of fuel. What is the total distance the toy car can now travel on a single tank of fuel on an uphill road after both modifications?
Mixtral 8x22B:
Reasoning: The toy car can now travel an additional 45/29 kilometers on an uphill road, which is equal to 1.5517241379310345 kilometers. The total distance the toy car can now travel on a single tank of fuel on an uphill road after both modifications is 37.825 + 1.5517241379310345 = <<37.825+1.5517241379310345=39.376724137931034>>39.376724137931034 kilometers. ### Answer: 39.376724137931034
Expected answer: 45677/1160
Correct? No
Problem: The toy car was originally capable of traveling 37 kilometers on a single tank of fuel. However, after a certain modification, the toy car can now travel an additional 33/38 of a kilometer rather than 33/40 kilometers as initially stated. What is the total distance the toy car can now travel on a single tank of fuel after this modified alteration?
Mixtral 8x22B:
Reasoning: The toy car can now travel an additional 33/38 of a kilometer, which is equal to 0.8684210526315789 kilometers. The total distance the toy car can now travel on a single tank of fuel after the modification is 37 + 0.8684210526315789 = <<37+0.8684210526315789=37.8684210526315789>>37.8684210526315789 kilometers. ### Answer: 37.8684210526315789
Expected answer: 1439/38
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?
Mixtral 8x22B:
Reasoning: John traveled for 1/31 \* 60 = <<1/31\*60=1.935483870967742>>1.935483870967742 minutes by car. John traveled for 30/12 \* 60 = <<30/12\*60=150>>150 minutes by bus. John took a break for 17/4 \* 60 = <<17/4\*60=255>>255 minutes. John was on the move for 1.935483870967742 + 150 + 255 = <<1.935483870967742+150+255=406.93548387096774>>406.93548387096774 minutes in total. ### Answer: 406.93548387096774 minutes
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?
Mixtral 8x22B:
Reasoning: The donkey reduces the distance by 18/33 miles every hour. After 1 hour, the effective distance of the well from the village is 45 - 18/33 = <<45 - 18/33 = 45 - 0.5454545454545454 = 44.45454545454545>>44.45454545454545 miles. ### Answer: 44.45454545454545 miles
Expected answer: 489/11
Correct? No
Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
Mixtral 8x22B:
Reasoning: Clara spent 25/6 = <<25/6=4.166666666666667>>4.17 dollars on ice cream (rounded to the nearest cent). After buying the ice cream, Clara had 30 - 4.17 = <<30-4.17=25.83>>25.83 dollars left. Clara spent 11/21 \* 25.83 = <<11/21\*25.83=14.180952380952381>>14.18 dollars on the book (rounded to the nearest cent). ### Answer: 14.18
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?
Mixtral 8x22B:
Reasoning: John walked 10 miles/day * 7 days/week * 2 weeks = <<10*7*2=140>>140 miles in the first 2 weeks. John needed to walk an additional 140 + 21 = <<140+21=161>>161 miles to reach his destination. ### Answer: 161
Expected answer: 161
Correct? Yes
Problem: In the previous journey, John decided to increase his daily walking distance. He walked for 14 miles instead of 10 each day for seven weeks. After the seven weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk this time to reach his destination?
Mixtral 8x22B:
Reasoning: John walked 14 miles/day * 7 days/week * 7 weeks = <<14*7*7=686>>686 miles in the seven weeks. John needed to walk an additional 686 + 21 = <<686+21=707>>707 miles to reach his destination. ### Answer: 707
Expected answer: 707
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The total cost of the toy is 18 + 41/14 = <<18+41/14=19.5>>19.5 dollars. Susan has 48 - 19.5 = <<48-19.5=28.5>>28.5 dollars left after buying the toy. ### Answer: 28.5
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?
Mixtral 8x22B:
Reasoning: The bank added 47/41 = <<47/41=1.1463414634146342>>1.1463414634146342 dollars to Jamie's account. Jamie now has $47 + 1.1463414634146342 = <<47+1.1463414634146342=48.14634146341463>>48.14634146341463 dollars in her bank account. ### Answer: 48.14634146341463
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?
Mixtral 8x22B:
Reasoning: Walter had 23/21 + 46 dollars originally. To add these two amounts, we need to find a common denominator for the fractions. The common denominator for 21 and 1 is 21. So, Walter had (23/21) + (46 \* 21/21) = (23 + 966)/21 = <<(23 + 966)/21=989/21>>989/21 dollars originally. ### Answer: 989/21
Expected answer: 989/21
Correct? Yes
Problem: After purchasing the pen, Walter decides to buy more stationary items worth the same amount as the pen, as many times as the total money he had originally. How much does Walter spend in total on the additional stationary items?
Mixtral 8x22B:
Reasoning: Walter had 989/21 dollars originally. He spends 23/21 dollars on each additional stationary item. So, he buys 989/21 \* 21/23 = <<989/21 \* 21/23=43>>43 additional stationary items. He spends 43 \* 23/21 = <<43 \* 23/21=473/3>>473/3 dollars in total on the additional stationary items. ### Answer: 473/3
Expected answer: 22747/441
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?
Mixtral 8x22B:
Reasoning: The farmer harvests 44/10 \* 37 = <<44/10\*37=162.8>>162.8 kilograms of honey in a day. The farmer sells 3/37 \* 162.8 = <<3/37\*162.8=12.96>>12.96 kilograms of honey. ### Answer: 12.96
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?
Mixtral 8x22B:
Reasoning: Jessica earns 29\*14 = <<29\*14=406>>406 dollars for working 14 hours. ### Answer: 406
Expected answer: 406
Correct? Yes
Problem: Jessica considers working more hours and renegotiates her hourly wage to 40 dollars per hour. If she still works for 14 hours, how much money will she have earned now?
Mixtral 8x22B:
Reasoning: Jessica earns 40\*14 = <<40\*14=560>>560 dollars for working 14 hours at her new hourly wage. ### Answer: 560
Expected answer: 560
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Tim's car uses 41/39 liters of fuel per minute. If he drives for 47 minutes, he will have consumed 41/39 \* 47 = <<41/39\*47=47>>47 liters of fuel. ### Answer: 47
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?
Mixtral 8x22B:
Reasoning: The cargo ship carries 17/26 \* 39 = <<17/26\*39=26.346153846153846>>26.346153846153846 tons of cargo for all 39 containers. The existing cargo load is 50/11 = <<50/11=4.545454545454545>>4.545454545454545 tons. The total tonnage of the cargo on the ship is 26.346153846153846 + 4.545454545454545 = <<26.346153846153846+4.545454545454545=30.89160839160839>>30.89160839160839 tons. ### Answer: 30.89160839160839
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?
Mixtral 8x22B:
Reasoning: Jessie had $34 and received $20, so she now has $34 + $20 = <<34+20=54>>54. ### 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?
Mixtral 8x22B:
Reasoning: Jessie saves $54 each week for 13 weeks, so she saves $54 \* 13 = <<54\*13=702>>702 in total. ### Answer: 702
Expected answer: 702
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Jessie had $45 and received $20, so she now has $45 + $20 = <<45+20=65>>65. ### 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?
Mixtral 8x22B:
Reasoning: Derek had $42 and his grandmother gave him an additional $7. Derek now has $42 + $7 = <<42+7=49>>$49 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?
Mixtral 8x22B:
Reasoning: Derek originally had $42 and his grandmother gave him an additional $12. Derek now has $42 + $12 = <<42+12=54>>$54 in total. ### Answer: $54
Expected answer: 54
Correct? Yes
Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?
Mixtral 8x22B:
Reasoning: The man gets a discount of 43/27 = <<43/27=1.6>>1.6 dollars on groceries. So, he spends 43 - 1.6 = <<43-1.6=41.4>>41.4 dollars on groceries. He also buys a book worth 13/36 = <<13/36=0.3611111111111111>>0.3611111111111111 dollars. So, he spends 41.4 + 0.3611111111111111 = <<41.4+0.3611111111111111=41.76111111111111>>41.76111111111111 dollars in total. ### Answer: 41.76111111111111
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?
Mixtral 8x22B:
Reasoning: The novel cost 46/39 = <<46/39=1.1794871794871795>>1.1794871794871795 dollars. Jenna had $45 + $50 = <<45+50=95>>95 dollars before buying the novel. After buying the novel, Jenna has $95 - 1.1794871794871795 = <<95-1.1794871794871795=93.82051282051282>>93.82051282051282 dollars left. ### Answer: 93.82051282051282
Expected answer: 3659/39
Correct? Yes
Problem: In the previous scenario, Jenna saved up $45 from her part-time job and received $50 from her parents. But this time, she bought a novel that cost 46/17 dollars. How much money does Jenna have left now?
Mixtral 8x22B:
Reasoning: The novel cost 46/17 = <<46/17=2.7058823529411764>>2.7058823529411764 dollars. Jenna had $45 + $50 = <<45+50=95>>95 dollars before buying the novel. After buying the novel, Jenna has $95 - 2.7058823529411764 = <<95-2.7058823529411764=92.29411764705882>>92.29411764705882 dollars left. ### Answer: 92.29411764705882
Expected answer: 1569/17
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?
Mixtral 8x22B:
Reasoning: First, let's simplify the fractions: 27/6 = <<27/6=4.5>>4.5 gallons 5/40 = <<5/40=0.125>>0.125 gallons 21/26 = <<21/26=0.8076923076923077>>0.8076923076923077 gallons Now, let's subtract the water that was poured out: 4.5 - 0.125 = <<4.5-0.125=4.375>>4.375 gallons Finally, let's add the water that was added: 4.375 + 0.8076923076923077 = <<4.375+0.8076923076923077=5.182692307692308>>5.182692307692308 gallons ### Answer: 5.182692307692308 gallons
Expected answer: 539/104
Correct? No
Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?
Mixtral 8x22B:
Reasoning: The car will travel 28 \* 20 = <<28\*20=560>>560 miles in 20 hours. ### 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?
Mixtral 8x22B:
Reasoning: The car has traveled 560 + 22 = <<560+22=582>>582 miles in total. ### 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?
Mixtral 8x22B:
Reasoning: The car will travel 28 \* 32 = <<28\*32=896>>896 miles in 32 hours. ### 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?
Mixtral 8x22B:
Reasoning: Tom had 48 - 19 = <<48-19=29>>29 dollars left after buying the book. ### 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?
Mixtral 8x22B:
Reasoning: Tom would have 48 - 30 = <<48-30=18>>18 dollars left after buying the more expensive book. ### 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?
Mixtral 8x22B:
Reasoning: James earns 49/44 = <<49/44=1.1136363636363635>>1.1136363636363635 dollars per hour. After working for an hour, James has 19 + 1.1136363636363635 = <<19+1.1136363636363635=20.113636363636363>>20.113636363636363 dollars in his account. ### Answer: 20.113636363636363
Expected answer: 885/44
Correct? Yes
Problem: Continuing from the initial situation, suppose that James initially had 50 dollars in his account instead of 19, and he still earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?
Mixtral 8x22B:
Reasoning: James earns 49/44 = <<49/44=1.1136363636363635>>1.1136363636363635 dollars per hour. After working for an hour, James has 50 + 1.1136363636363635 = <<50+1.1136363636363635=51.11363636363636>>51.11363636363636 dollars in his account. ### Answer: 51.11363636363636
Expected answer: 2249/44
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?
Mixtral 8x22B:
Reasoning: The old vendor charges $34/8 = <<34/8=4.25>>4.25 per bag. The new vendor charges $19/30 = <<19/30=0.6333333333333333>>0.6333333333333333 per bag. The new vendor charges $4.25 - $0.6333333333333333 = <<4.25-0.6333333333333333=3.6166666666666665>>3.6166666666666665 less per bag. ### Answer: 3.6166666666666665
Expected answer: 217/60
Correct? Yes
Problem: Going back to the earlier situation with the juice shop, we realized there was a mistake. They actually buy oranges for $34 per 8 bags but they found a new vendor offering the same quantity of oranges for $19 per 47 bags, not 30. How much less per bag does the new vendor charge now considering this new information?
Mixtral 8x22B:
Reasoning: The old vendor charges $34/8 = <<34/8=4.25>>4.25 per bag. The new vendor charges $19/47 = <<19/47=0.4042553191489362>>0.4042553191489362 per bag. The new vendor charges $4.25 - $0.4042553191489362 = <<4.25-0.4042553191489362=3.8457446808510638>>3.8457446808510638 less per bag. ### Answer: 3.8457446808510638
Expected answer: 723/188
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
Mixtral 8x22B:
Reasoning: Lisa spends $50/46 = <<50/46=1.0869565217391304>>1.0869565217391304 per day. ### Answer: $1.09 (rounded to the nearest cent)
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?
Mixtral 8x22B:
Reasoning: First, we need to find out how much juice is in the bottle. Since the bottle contains 22/43 liters of juice, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 11. This gives us 2/43 liters of juice in the bottle. Next, we need to find out how much juice is 18/4 of the bottle. To do this, we multiply the amount of juice in the bottle by 18/4. This gives us (2/43) \* (18/4) = 9/43 liters of juice. Therefore, you drink 9/43 liters of juice. ### Answer: 9/43 liters
Expected answer: 99/43
Correct? No
Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?
Mixtral 8x22B:
Reasoning: John spent $31 - $4 = <<31-4=27>>$27 on the chocolate bar. John has $27 left in his wallet. ### 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?
Mixtral 8x22B:
Reasoning: John had $27 left after buying the chocolate bar. He spent $27 - $23 = <<27-23=4>>$4 on the book. John has $4 left in his wallet. ### 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?
Mixtral 8x22B:
Reasoning: The sports car gains an extra speed of 26/24 miles every hour due to the wind. After one hour, the sports car would have gained an extra speed of 26/24 \* 1 = <<26/24\*1=1.0833333333333333>>1.0833333333333333 miles due to the wind. The sports car's original speed is 40 miles per hour. Therefore, the sports car's speed after one hour with the effect of the wind included would be 40 + 1.0833333333333333 = <<40+1.0833333333333333=41.083333333333336>>41.083333333333336 miles per hour. ### Answer: 41.083333333333336
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?
Mixtral 8x22B:
Reasoning: The sports car gains an extra speed of 6/24 miles every hour due to the wind. After one hour, the sports car would have gained an extra speed of 6/24 \* 1 = <<6/24\*1=0.25>>0.25 miles due to the wind. The sports car's original speed is 40 miles per hour. Therefore, the sports car's speed after one hour with the effect of the wind included would be 40 + 0.25 = <<40+0.25=40.25>>40.25 miles per hour. ### Answer: 40.25
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?
Mixtral 8x22B:
Reasoning: James initially had 33/37 gallons of milk in the jug. He added 3/25 gallons of milk to the jug. To find the total amount of milk in the jug, we need to add the two amounts together. First, we need to find a common denominator for the two fractions. The least common multiple of 37 and 25 is 925. So, we convert the fractions to have the same denominator: 33/37 = (33 \* 25)/(37 \* 25) = 825/925 3/25 = (3 \* 37)/(25 \* 37) = 111/925 Now, we can add the two amounts together: 825/925 + 111/925 = (825 + 111)/925 = 936/925 To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1. So, James has 936/925 = <<936/925=1.0125>>1.0125 gallons of milk in total in the jug. ### Answer: 1.0125
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?
Mixtral 8x22B:
Reasoning: The total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=111/17>>111/17 hours. ### Answer: 111/17 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?
Mixtral 8x22B:
Reasoning: Carrie's car consumes 41 liters of fuel per hour. She has driven for 49/48 hours. So, her car has consumed 41 \* 49/48 = <<41\*49/48=42.6875>>42.6875 liters of fuel. ### Answer: 42.6875 liters
Expected answer: 2009/48
Correct? No
Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?
Mixtral 8x22B:
Reasoning: Oscar spends (13/41)*33 = <<(13/41)*33=9.90>>$9.90 on the video game. ### Answer: $9.90
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?
Mixtral 8x22B:
Reasoning: The turtle travels at a speed of 19/6 feet per second. In 24 seconds, the turtle would travel (19/6) \* 24 = <<(19/6)\*24=76>>76 feet. Since the turtle starts 20 feet ahead from the starting point, we need to add this distance to the distance traveled by the turtle. Therefore, the turtle would travel 76 + 20 = <<76+20=96>>96 feet in 24 seconds. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In our earlier calculation, we were considering the distance the turtle travelled in 24 seconds. What happens if we reconsider, and instead calculate the turtle's distance covered in 33 seconds from the same starting point that was 20 feet ahead? How many feet would the turtle travel in total then?
Mixtral 8x22B:
Reasoning: The turtle travels at a speed of 19/6 feet per second. In 33 seconds, the turtle would travel (19/6) \* 33 = <<(19/6)\*33=108.5>>108.5 feet. Since the turtle starts 20 feet ahead from the starting point, we need to add this distance to the distance traveled by the turtle. Therefore, the turtle would travel 108.5 + 20 = <<108.5+20=128.5>>128.5 feet in 33 seconds. ### Answer: 128.5
Expected answer: 249/2
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?
Mixtral 8x22B:
Reasoning: Carlos filled the container to 41/49 of its capacity, which means he poured 3 \* 41/49 = <<3\*41/49=2.510204081632653>>2.51 liters of orange juice into the container. ### Answer: 2.51 liters
Expected answer: 123/49
Correct? No
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
Mixtral 8x22B:
Reasoning: The distance covered by the train can be calculated using the formula: Distance = Speed × Time. So, the distance covered by the train in 5 hours would be 39 × 5 = <<39\*5=195>>195 kilometers. ### Answer: 195 kilometers
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?
Mixtral 8x22B:
Reasoning: The distance covered by the train can be calculated using the formula: Distance = Speed × Time. So, the distance covered by the train in 5 hours at a speed of 16 kilometers per hour would be 16 × 5 = <<16\*5=80>>80 kilometers. ### Answer: 80 kilometers
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?
Mixtral 8x22B:
Reasoning: Jenny has $3 and finds a coin worth 4/37 dollars. To find out how much money she has altogether, we need to add the value of the coin to her original amount of money. First, we convert the value of the coin to a decimal by dividing 4 by 37, which gives us approximately 0.1081 dollars. Next, we add this value to Jenny's original amount of money: $3 + $0.1081 = $3.1081 Therefore, Jenny has $3.1081 altogether. ### Answer: $3.1081
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
Mixtral 8x22B:
Reasoning: Henry saved $17 \* 5 = <<17\*5=85>>85 in 5 weeks. ### Answer: 85 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
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?
Mixtral 8x22B:
Reasoning: If Henry saved $37 each week, then in 5 weeks he would save $37 \* 5 = <<37\*5=185>>185. ### 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?
Mixtral 8x22B:
Reasoning: 17/23 of a dollar is equal to $<<17/23=0.7391304347826087>>0.7391304347826087 (rounded to 10 decimal places). After buying the sweet, you have $15 - $0.7391304347826087 = $<<15-0.7391304347826087=14.260869565217391>>14.260869565217391 (rounded to 10 decimal places) left in your savings account. ### Answer: $14.26 (rounded to two decimal places)
Expected answer: 328/23
Correct? No