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Llama 3 8B on 4.MD.A.2-decimal

Common Core Standard 4.MD.A.2-decimal

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.

๐Ÿ”— Problem

Problem: Maria was driving at an average speed of 11.0 miles per hour for 6.7 hours. After completing this stretch, she immediately continued for another 4.3 miles before stopping. What total distance in miles did Maria cover?

Llama 3 8B:

Reasoning: Maria drove for 6.7 hours at an average speed of 11.0 miles per hour, so the distance she covered during this stretch is 6.7 x 11.0 = 73.7 miles.
After this, she drove an additional 4.3 miles, so the total distance she covered is 73.7 + 4.3 = 78.0 miles.
### Answer: 78.0

Expected answer: 78.0000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous problem, suppose Maria was actually driving at an average speed of 11.0 miles per hour for 19 hours before she stopped for a break. After the break, she immediately continued for another 4.3 miles. What would then be the total distance in miles that Maria covered?

Llama 3 8B:

Reasoning: Maria drove for 19 hours at an average speed of 11.0 miles per hour, so the distance she covered during this stretch is 19 x 11.0 = 209.0 miles.
After this, she drove an additional 4.3 miles, so the total distance she covered is 209.0 + 4.3 = 213.3 miles.
### Answer: 213.3

Expected answer: 213.300000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John had 1 dollar. He multiplied his money by 17 by doing small jobs around his neighborhood. How much money does he have now?

Llama 3 8B:

Reasoning: John started with 1 dollar. He multiplied his money by 17, which means he added 1 dollar 16 times.
1 x 17 = 17
So, John now has 1 + 16 = 17 dollars.
### Answer: 17

Expected answer: 17

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose John initially started with 3 dollars instead of 1 dollar. He still multiplied his money by 17 by doing small jobs around his neighborhood. How much money would he have now?

Llama 3 8B:

Reasoning: John started with 3 dollars. He multiplied his money by 17, which means he added 3 dollars 16 times.
3 x 17 = 51
So, John now has 3 + 16 = 51 dollars.
### Answer: 51

Expected answer: 51

Correct? Yes

๐Ÿ”— Problem

Problem: You have $24.49 in your wallet and you found a $16 bill on the street. Afterward, you receive $47 from your parent. After receiving the money, how much money do you have in total if you already have $25.93 in your savings account?

Llama 3 8B:

Reasoning: Initially, you have $24.49 in your wallet.
You found a $16 bill, so you add it to your wallet: $24.49 + $16 = $40.49
Then, you receive $47 from your parent, so you add it to your wallet: $40.49 + $47 = $87.49
You already have $25.93 in your savings account, so you add it to the total amount in your wallet: $87.49 + $25.93 = $113.42
### Answer: $113.42

Expected answer: 113.420000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous scenario, instead of finding a $16 bill on the street, you found a $23 bill. How much money do you have in total now (considering the $47 you receive from your parent and the $25.93 in your savings account)?

Llama 3 8B:

Reasoning: Initially, you have $24.49 in your wallet.
You found a $23 bill, so you add it to your wallet: $24.49 + $23 = $47.49
Then, you receive $47 from your parent, so you add it to your wallet: $47.49 + $47 = $94.49
You already have $25.93 in your savings account, so you add it to the total amount in your wallet: $94.49 + $25.93 = $120.42
### Answer: $120.42

Expected answer: 120.420000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Danny had $49 saved up. He received $8 as a gift from his grandpa. How much money does Danny have now?

Llama 3 8B:

Reasoning: Danny had $49 initially.
He received $8 as a gift from his grandpa.
To find the total amount of money Danny has now, we add the initial amount and the gift:
$49 + $8 = <<49+8=57>>57
### Answer: 57

Expected answer: 57

Correct? Yes

๐Ÿ”— Follow-up

Problem: After receiving the $8 from his grandpa, Danny found $45 he had hidden in a secret compartment of his piggy bank last year. How much money does he now have in total?

Llama 3 8B:

Reasoning: Danny already had $57 after receiving the $8 gift from his grandpa.
He found $45 hidden in his piggy bank.
To find the total amount of money Danny has now, we add the previous amount and the new found money:
$57 + $45 = <<57+45=102>>102
### Answer: 102

Expected answer: 102

Correct? Yes

๐Ÿ”— Follow-up

Problem: If initially, Danny had saved up $49 and he received $17 instead of $8 from his grandpa, how much money would he have then?

Llama 3 8B:

Reasoning: Danny had $49 initially.
He received $17 as a gift from his grandpa.
To find the total amount of money Danny has now, we add the initial amount and the gift:
$49 + $17 = <<49+17=66>>66
### Answer: 66

Expected answer: 66

Correct? Yes

๐Ÿ”— Problem

Problem: A car travels a distance of 775.644 miles on 43.6 gallons of fuel. How many miles does the car travel per gallon of fuel?

Llama 3 8B:

Reasoning: To find the miles per gallon, we need to divide the total distance traveled (775.644 miles) by the total amount of fuel consumed (43.6 gallons).

775.644 miles รท 43.6 gallons = 17.77 miles per gallon

### Answer: 17.77

Expected answer: 17.7900000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the car's fuel efficiency standard is 27 miles per gallon but it is falling short and only managing to travel the distance calculated in the previous problem per gallon, by how much is it falling short of the fuel efficiency standard?

Llama 3 8B:

Reasoning: The car's actual fuel efficiency is 17.77 miles per gallon, which is the distance it travels per gallon. The standard fuel efficiency is 27 miles per gallon.

To find the difference, subtract the actual fuel efficiency from the standard fuel efficiency:

27 miles/gallon - 17.77 miles/gallon = 9.23 miles/gallon

This means the car is falling short of the fuel efficiency standard by 9.23 miles per gallon.

### Answer: 9.23

Expected answer: 9.21000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Consider if the car initially had a larger amount of fuel, say 49 gallons instead of 43.6 gallons, and the car still traveled 775.644 miles. In this case, what would be the updated miles per gallon of the car?

Llama 3 8B:

Reasoning: If the car initially had 49 gallons of fuel instead of 43.6 gallons, and it still traveled 775.644 miles, we can calculate the new miles per gallon as follows:

775.644 miles รท 49 gallons = 15.79 miles per gallon

### Answer: 15.79

Expected answer: 15.8294693877551

Correct? No

๐Ÿ”— Problem

Problem: Eva has a garden that is 3 meters wide. She decides to extend it by 22.6 meters. After she does this, she has a garden that is as long as the width of the original garden times the total length after the extension. What is now the total area of Eva's garden in square meters?

Llama 3 8B:

Reasoning: The original width of the garden is 3 meters. After the extension, the total length is 3 + 22.6 = 25.6 meters. The total area is the product of the width and the length, which is 3 * 25.6 = 76.8 square meters.
### Answer: 76.8

Expected answer: 76.8000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Now suppose that Eva decides to make her garden even bigger. She alters her plan, and now the first width of her garden is going to be 16 meters instead of 3 meters. After extending it by 22.6 meters just as before, she again stretches the garden out until it is as long as the width of the original garden times the total length after the extension. What is now the total area of Eva's garden in square meters?

Llama 3 8B:

Reasoning: The original width of the garden is 16 meters. After the extension, the total length is 16 + 22.6 = 38.6 meters. The total area is the product of the width and the length, which is 16 * 38.6 = 616.96 square meters.
### Answer: 616.96

Expected answer: 617.600000000000

Correct? No

๐Ÿ”— Problem

Problem: A cyclist has 19 days to travel a race that is 8.9 miles long each day. He also received a bonus of 38 miles from the previous race. In total, how many miles does he have to ride for this race?

Llama 3 8B:

Reasoning: The cyclist has to ride 8.9 miles each day for 19 days, so the total distance is 8.9 x 19 = 169.1 miles.
He also received a bonus of 38 miles, so the total distance is 169.1 + 38 = 207.1 miles.
### Answer: 207.1

Expected answer: 207.100000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous cycling competition, the cyclist had to travel 41 miles each day for 19 days and received a bonus of 38 miles. How many miles in total did he have to travel for that race?

Llama 3 8B:

Reasoning: The cyclist had to ride 41 miles each day for 19 days, so the total distance is 41 x 19 = 781 miles.
He also received a bonus of 38 miles, so the total distance is 781 + 38 = 819 miles.
### Answer: 819

Expected answer: 817

Correct? No

๐Ÿ”— Problem

Problem: Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. If he makes this trip 3 times a week, how many miles does he travel in total?

Llama 3 8B:

Reasoning: Bob travels 6.1 miles to the grocery store and 6.1 miles back home, so his total trip is 6.1 + 6.1 = 12.2 miles.
Since he makes this trip 3 times a week, he travels 12.2 x 3 = 36.6 miles in total per week.
### Answer: 36.6

Expected answer: 36.6000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In addition to his trips to the grocery store, Bob also drives an extra 36 miles each week to visit his grandmother. Taking into account his trips to the grocery store and his visits to his grandmother, how many miles does Bob drive in total every week?

Llama 3 8B:

Reasoning: Bob drives 36.6 miles per week for his trips to the grocery store, and an additional 36 miles per week to visit his grandmother.
To find the total miles driven per week, we add these two distances together: 36.6 + 36 = 72.6 miles.
### Answer: 72.6

Expected answer: 72.6000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In a different scenario, Bob's grandmother lives 36 miles away, instead of the original distance. If Bob were still to visit her and return home three times a week, how many miles would he be driving in total just for these visits?

Llama 3 8B:

Reasoning: Bob travels 36 miles to his grandmother's house and 36 miles back home, so his total trip is 36 + 36 = 72 miles.
Since he makes this trip 3 times a week, he travels 72 x 3 = 216 miles in total per week.
### Answer: 216

Expected answer: 216.000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: You have $863.2 in your bank account and you decide to spend an equal amount every day for 33.2 days. How much money will you spend each day?

Llama 3 8B:

Reasoning: To find out how much money you will spend each day, we need to divide the total amount of money you have ($863.2) by the number of days you will be spending it (33.2).

$863.2 รท 33.2 = $26.00

### Answer: $26.00

Expected answer: 26.0000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following up on the previous scenario: suppose instead of spending your savings over 33.2 days, you decided to stretch the same amount over 47 days. How much would you have to spend each day now to keep within the same budget of $863.2?

Llama 3 8B:

Reasoning: Since you want to spend the same amount of money ($863.2) over a different number of days (47), we need to divide the total amount by the new number of days.

$863.2 รท 47 = $18.40

### Answer: $18.40

Expected answer: 18.3659574468085

Correct? No

๐Ÿ”— Problem

Problem: Maria saved $32.5 from her part-time job and $34 from her previous savings. She spent $7 on a gift for her sister and $7 for her brother at the end of the week. How much money does Maria have left?

Llama 3 8B:

Reasoning: Maria initially had $32.5 from her part-time job and $34 from her previous savings, so she had a total of $32.5 + $34 = $66.5.
After spending $7 on a gift for her sister and $7 for her brother, she spent a total of $7 + $7 = $14.
So, Maria has $66.5 - $14 = $52.5 left.
### Answer: $52.5

Expected answer: 52.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After calculating the money left, Maria found an old wallet containing $38. How much money does Maria total have now?

Llama 3 8B:

Reasoning: Maria had $52.5 left after spending $14, and then she found an old wallet containing $38.
So, she now has $52.5 + $38 = $90.5.
### Answer: $90.5

Expected answer: 90.5000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: If the cost of diesel is $22.49 per gallon and a truck uses 38.04 gallons on a trip, how much does the fuel for the trip cost in total?

Llama 3 8B:

Reasoning: To find the total cost of fuel, we need to multiply the cost per gallon by the number of gallons used.

Cost per gallon = $22.49
Number of gallons used = 38.04

Total cost of fuel = Cost per gallon x Number of gallons used
= $22.49 x 38.04
= $854.55

### Answer: $854.55

Expected answer: 855.519600000000

Correct? No

๐Ÿ”— Problem

Problem: You just got a new job paying $13 per hour. How much will you earn if you work for 1 hour?

Llama 3 8B:

Reasoning: Since the job pays $13 per hour, the amount earned in 1 hour is simply the hourly wage, which is $13.

### Answer: $13

Expected answer: 13

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous problem, now let's say you also had individual donations amounting to $7. After receiving your salary, how much money did you have once you subtracted the total amount of your donations?

Llama 3 8B:

Reasoning: You earned $13 from your new job, and you had individual donations amounting to $7. To find out how much money you have after subtracting the donations, you would subtract $7 from $13.

$13 - $7 = $6

### Answer: $6

Expected answer: 6

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous scenario, imagine instead that your new job paid $4 per hour. How much would you earn if you worked for 1 hour?

Llama 3 8B:

Reasoning: Since the job pays $4 per hour, the amount earned in 1 hour is simply the hourly wage, which is $4.

### Answer: $4

Expected answer: 4

Correct? Yes

๐Ÿ”— Problem

Problem: A vehicle travels 367.8 miles on a full tank of gas that holds 15 gallons. How many miles does the vehicle travel per gallon of gas?

Llama 3 8B:

Reasoning: The vehicle travels a total of 367.8 miles on a full tank of 15 gallons. To find the miles per gallon, we can divide the total miles by the number of gallons: 367.8 รท 15 = 24.52.
### Answer: 24.52

Expected answer: 24.5200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After finding the distance the vehicle travels per gallon of gas, if the number of miles it can travel per gallon is squared, what would be the resulting number?

Llama 3 8B:

Reasoning: We previously found that the vehicle travels 24.52 miles per gallon. Squaring this number gives:

24.52^2 = 601.43

### Answer: 601.43

Expected answer: 601.230400000000

Correct? No

๐Ÿ”— Follow-up

Problem: If the vehicle's gas tank held 20 gallons instead of 15 gallons, but it still traveled 367.8 miles on a full tank, how many miles would the vehicle travel per gallon of gas now?

Llama 3 8B:

Reasoning: Since the vehicle still traveled 367.8 miles on a full tank, but the tank now holds 20 gallons instead of 15, we can divide the total miles by the new number of gallons to find the miles per gallon: 367.8 รท 20 = 18.39.
### Answer: 18.39

Expected answer: 18.3900000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John has $16.9 and his sister gives him an extra $19.0. After receiving the money, he discovers an old $3 bill in his pocket. How much money does John have now?

Llama 3 8B:

Reasoning: John initially has $16.9.
He receives an extra $19.0 from his sister, so he now has $16.9 + $19.0 = $35.9.
He finds an old $3 bill in his pocket, so he adds that to his total: $35.9 + $3.0 = $38.9.
### Answer: $38.9

Expected answer: 38.9000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After counting his money, John decides to deposit the money into his bank account. In the bank, he remembers that he already has $31.4 in his account. After depositing all of his money, how much does John have in his bank account?

Llama 3 8B:

Reasoning: John has $38.9 in his hand.
He already has $31.4 in his bank account.
He deposits the $38.9 into his bank account, so he now has $31.4 + $38.9 = $70.3.
### Answer: $70.3

Expected answer: 70.3000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: A drone flies at a constant speed of 7.8 km per hour. How far in km can it travel in 24 hours if it doesn't stop or slow down?

Llama 3 8B:

Reasoning: The drone's speed is 7.8 km per hour. To find the distance it can travel in 24 hours, we multiply its speed by the number of hours it travels.

7.8 km/h ร— 24 h = 7.8 ร— 24 = 187.2 km

### Answer: 187.2

Expected answer: 187.200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: If a drone flies at a constant speed of 7.8 km per hour for 24 hours and then continues to fly an additional 31 km, how far in total would it have traveled?

Llama 3 8B:

Reasoning: The drone flies for 24 hours at a constant speed of 7.8 km per hour, which means it travels a distance of:

7.8 km/h ร— 24 h = 187.2 km

Then, it flies an additional 31 km.

Total distance = Distance flown in 24 hours + Additional distance flown
= 187.2 km + 31 km
= 218.2 km

### Answer: 218.2

Expected answer: 218.200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the drone was actually flying at a constant speed of 7.8 km per hour for 30 hours instead of 24 hours, without taking into account the additional 31 km it flew afterwards, how far in total would it have traveled in those 30 hours?

Llama 3 8B:

Reasoning: The drone's speed is 7.8 km per hour. To find the distance it can travel in 30 hours, we multiply its speed by the number of hours it travels.

7.8 km/h ร— 30 h = 7.8 ร— 30 = 234 km

### Answer: 234

Expected answer: 234.000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Emily has saved $9.12 from doing household chores. Her mother then gives her an additional $16.00 as a monthly allowance. How much money does Emily now have in total?

Llama 3 8B:

Reasoning: Emily initially has $9.12.
She receives an additional $16.00 as a monthly allowance.
To find the total amount of money Emily has, we add the initial amount and the additional amount: $9.12 + $16.00 = <<$9.12 + $16.00 = $25.12>>.
### Answer: $25.12

Expected answer: 25.1200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Emily's grandmother has heard about her diligent savings and decides to contribute by giving her $1.53. Given the money she already has from chores and allowance, how much money does Emily now have in total?

Llama 3 8B:

Reasoning: Emily already has $25.12.
Her grandmother gives her an additional $1.53.
To find the total amount of money Emily has, we add the initial amount and the additional amount: $25.12 + $1.53 = <<$25.12 + $1.53 = $26.65>>.
### Answer: $26.65

Expected answer: 26.6500000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Emily thought she was given $16.00 as a monthly allowance, but her mother actually gave her $47.00. Given the $9.12 she has from chores and the corrected amount of allowance, how much money does Emily now have in total?

Llama 3 8B:

Reasoning: Emily initially has $9.12 from doing household chores.
She receives an additional $47.00 as a monthly allowance (corrected amount).
To find the total amount of money Emily has, we add the initial amount and the additional amount: $9.12 + $47.00 = <<$9.12 + $47.00 = $56.12>>.
### Answer: $56.12

Expected answer: 56.1200000000000

Correct? Yes

๐Ÿ”— Problem

Problem: James had $24.31 in his wallet. After buying a sandwich for $22, how much money does he have left?

Llama 3 8B:

Reasoning: James had $24.31 initially.
He spent $22 on a sandwich.
To find out how much money he has left, we subtract the amount spent from the initial amount:
$24.31 - $22 = $2.31
### Answer: $2.31

Expected answer: 2.31000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John had $37.3 in his savings account. He went to the store and spent $8. How much money does he have left in his savings account?

Llama 3 8B:

Reasoning: John had $37.3 initially.
He spent $8, so we subtract $8 from $37.3 to find out how much he has left.
$37.3 - $8 = $29.3
### Answer: $29.3

Expected answer: 29.3000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John had $37.3 in his savings account. He went to the store and spent $8. How much money does he have left in his savings account? Later that day, his grandmother gives him $12.0 for his birthday. How much money does he have now in his savings account?

Llama 3 8B:

Reasoning: John had $29.3 left in his savings account after spending $8.
His grandmother gave him $12.0, so we add $12.0 to $29.3 to find out how much he has now.
$29.3 + $12.0 = $41.3
### Answer: $41.3

Expected answer: 41.3000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the original scenario, John had $37.3 in his savings. However, what if he had $40 instead, and he still went to the store and spent the same amount of $8. How much would he have left in his savings account then?

Llama 3 8B:

Reasoning: John had $40 initially.
He spent $8, so we subtract $8 from $40 to find out how much he has left.
$40 - $8 = $32
### Answer: $32

Expected answer: 32

Correct? Yes

๐Ÿ”— Problem

Problem: Mary bought a dress for $45 but got a $8 discount. She now wants to buy the same dress for her 1.77 twin sisters. How much will it cost her?

Llama 3 8B:

Reasoning: Mary got a $8 discount, so the new price of the dress is $45 - $8 = $37.
Since she wants to buy the same dress for her 2 twin sisters, she needs to buy 2 dresses. The total cost will be 2 x $37 = $74.
### Answer: $74

Expected answer: 65.4900000000000

Correct? No

๐Ÿ”— Problem

Problem: Harrison has $43 in his bank account. He then receives a gift from his grandmother of an amount equal to $38.32 plus the original amount he had in his account. After receiving the gift, how much money does Harrison have altogether?

Llama 3 8B:

Reasoning: Harrison's grandmother gave him an amount equal to the original amount he had in his account ($43) plus $38.32. So, the gift is $43 + $38.32 = $81.32.
Harrison's new total amount is the original amount he had ($43) plus the gift ($81.32). So, the new total is $43 + $81.32 = $124.32.
### Answer: $124.32

Expected answer: 124.320000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose Harrison only had $43 in his bank account and he received another cash gift from his relatives which is $38.32 more than the original amount he had. If his grandmother didn't give him an extra $43, how much money does he have in his account now?

Llama 3 8B:

Reasoning: Harrison's relatives gave him a gift that is $38.32 more than the original amount he had, which is $43. So, the gift is $43 + $38.32 = $81.32.
Harrison's new total amount is the original amount he had ($43) plus the gift ($81.32). So, the new total is $43 + $81.32 = $124.32.
### Answer: $124.32

Expected answer: 124.320000000000

Correct? Yes

๐Ÿ”— Problem

Problem: In a relay race, Tom ran 8.4 miles, and Jerry ran 43.4 miles. Then, Spike took over and ran 31 miles more. What is the total miles that the team have ran?

Llama 3 8B:

Reasoning: Tom ran 8.4 miles, Jerry ran 43.4 miles, and Spike ran 31 miles more than Jerry. So, Spike ran 43.4 + 31 = 74.4 miles.
The total miles the team has ran is 8.4 + 43.4 + 74.4 = 126.2 miles.
### Answer: 126.2

Expected answer: 82.8000000000000

Correct? No

๐Ÿ”— Problem

Problem: David has 984.4 dollars and wants to save an equal amount every week for the next 23 weeks. How much money should he save each week?

Llama 3 8B:

Reasoning: David wants to save an equal amount every week for 23 weeks. To find out how much he should save each week, we need to divide the total amount he wants to save (984.4 dollars) by the number of weeks (23).

984.4 รท 23 = <<984.4/23=42.5>>42.5

So, David should save $42.5 each week.

### Answer: 42.5

Expected answer: 42.8000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous problem, David decided to save 984.4 dollars over 23 weeks. But what if David actually only had 28 dollars to begin with? How much would he have to save each week then?

Llama 3 8B:

Reasoning: David wants to save an equal amount every week for 23 weeks. To find out how much he should save each week, we need to divide the total amount he wants to save (984.4 dollars) by the number of weeks (23).

However, David only has 28 dollars to begin with, so he needs to save a total of 984.4 - 28 = 956.4 dollars.

956.4 รท 23 = <<956.4/23=41.5>>41.5

So, David should save $41.5 each week.

### Answer: 41.5

Expected answer: 28/23

Correct? No

๐Ÿ”— Problem

Problem: Zara decided to save some of her money for her summer trip. Every week, she saved $29. After 17 weeks, how much money did she save in total for her trip?

Llama 3 8B:

Reasoning: Zara saved $29 each week for 17 weeks.
To find the total amount saved, multiply the amount saved per week by the number of weeks: $29 x 17 = <<29 x 17=493>>493.
### Answer: 493

Expected answer: 493

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following her original plan, Zara managed to save $29 each week for 17 weeks for her summer trip. Then, she unexpectedly received an extra $31 from her grandma. How much money does she now have in total for her trip?

Llama 3 8B:

Reasoning: Zara already had $493 saved for her trip (from previous problem).
She received an extra $31 from her grandma.
Add the amount she already had to the extra amount: $493 + $31 = <<493+31=524>>524.
### Answer: 524

Expected answer: 524

Correct? Yes

๐Ÿ”— Follow-up

Problem: Zara originally planned to save $29 each week for 17 weeks, but she had to adjust and only save $22 each week instead. How much money would she have saved at the end of the 17 weeks with her adjusted saving plan?

Llama 3 8B:

Reasoning: Zara saved $22 each week for 17 weeks.
To find the total amount saved, multiply the amount saved per week by the number of weeks: $22 x 17 = <<22 x 17=374>>374.
### Answer: 374

Expected answer: 374

Correct? Yes

๐Ÿ”— Problem

Problem: Samuel has a total of 176 liters of paint. He wants to distribute it evenly into 8 barrels. How many liters of paint will there be in each barrel?

Llama 3 8B:

Reasoning: To find the number of liters of paint in each barrel, we need to divide the total amount of paint (176 liters) by the number of barrels (8).

176 รท 8 = 22

So, there will be 22 liters of paint in each barrel.

### Answer: 22

Expected answer: 22

Correct? Yes

๐Ÿ”— Follow-up

Problem: If Samuel decides to fill 43 barrels with the same quantity of paint as before, how many liters of paint will he need in total?

Llama 3 8B:

Reasoning: Since Samuel wants to fill 43 barrels with the same quantity of paint as before, we need to multiply the number of liters in each barrel (22) by the number of barrels:

22 liters/barrel ร— 43 barrels = 946 liters

So, Samuel will need a total of 946 liters of paint.

### Answer: 946

Expected answer: 946

Correct? Yes

๐Ÿ”— Follow-up

Problem: If Samuel had started with only 176 liters of paint and decided to distribute it evenly into 29 barrels instead of 43, how many liters of paint would there be in each barrel?

Llama 3 8B:

Reasoning: To find the number of liters of paint in each barrel, we need to divide the total amount of paint (176 liters) by the new number of barrels (29).

176 รท 29 = 6.07

So, there would be approximately 6.07 liters of paint in each barrel.

### Answer: 6.07

Expected answer: 176/29

Correct? No

๐Ÿ”— Problem

Problem: Mark bought 29 shirts for his clothing business, with each shirt costing $17. But he got a $1 discount on the total cost. How much did he pay in total for the shirts?

Llama 3 8B:

Reasoning: The total cost of the shirts without the discount would be 29 x $17 = $493.
Since Mark got a $1 discount, he paid $493 - $1 = $492.
### Answer: $492

Expected answer: 492

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following the previous situation, after buying the shirts, Mark decided to also purchase a tie which cost him $6.62. How much did he end up spending in total for the shirts and the tie?

Llama 3 8B:

Reasoning: Mark already spent $492 on the shirts.
He then spent an additional $6.62 on the tie.
The total amount he spent is the sum of these two amounts: $492 + $6.62 = $498.62.
### Answer: $498.62

Expected answer: 498.620000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Going back to the initial scenario, suppose the number of shirts Mark bought was 39 instead of 29, with each shirt still costing $17. He still received a $1 discount on the total cost. How much did he pay in total for the shirts now?

Llama 3 8B:

Reasoning: The total cost of the shirts without the discount would be 39 x $17 = $663.
Since Mark got a $1 discount, he paid $663 - $1 = $662.
### Answer: $662

Expected answer: 662

Correct? Yes

๐Ÿ”— Problem

Problem: Sarah buys 9 books from a bookstore where each book costs $27.99. She also purchases a magazine for $9. What is the total cost of Sarah's purchase?

Llama 3 8B:

Reasoning: Sarah buys 9 books, and each book costs $27.99. So, the total cost of the books is 9 x $27.99 = $249.91.
She also purchases a magazine for $9.
The total cost of Sarah's purchase is the sum of the cost of the books and the magazine: $249.91 + $9 = $258.91.
### Answer: $258.91

Expected answer: 260.910000000000

Correct? No

๐Ÿ”— Problem

Problem: Susan has 11 dollars in her purse and she found 14 dollars in her desk draw. After adding the money she found to her purse, she then earned another 23 dollars from doing chores. How much money does she have now?

Llama 3 8B:

Reasoning: Susan initially had 11 dollars in her purse.
She found 14 dollars in her desk draw, so she added that to her purse: 11 + 14 = 25 dollars.
Then, she earned 23 dollars from doing chores, so she added that to her purse: 25 + 23 = 48 dollars.
### Answer: 48

Expected answer: 48

Correct? Yes

๐Ÿ”— Follow-up

Problem: After counting her money, Susan then spent $12.18 on a new book. How much money does she have left after buying the book?

Llama 3 8B:

Reasoning: Susan had 48 dollars initially.
She spent 12.18 dollars on a new book, so she subtracted that from her total: 48 - 12.18 = 35.82 dollars.
### Answer: 35.82

Expected answer: 35.8200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Let's revise Susan's story a bit. Suppose that instead of finding 14 dollars in her desk drawer, she only found 6 dollars. If she still earned another 23 dollars from chores, how much money would she have then?

Llama 3 8B:

Reasoning: Susan initially had 11 dollars in her purse.
She found 6 dollars in her desk draw, so she added that to her purse: 11 + 6 = 17 dollars.
Then, she earned 23 dollars from doing chores, so she added that to her purse: 17 + 23 = 40 dollars.
### Answer: 40

Expected answer: 40

Correct? Yes

๐Ÿ”— Problem

Problem: Susan has $46 in her wallet. She spends $45 on a new toy robot. How much money does she currently have left in her wallet?

Llama 3 8B:

Reasoning: Susan starts with $46 in her wallet.
She spends $45 on a new toy robot, which means she subtracts $45 from her initial amount.
$46 - $45 = <<$46-$45=$1>>$1
Susan currently has $1 left in her wallet.
### Answer: $1

Expected answer: 1

Correct? Yes

๐Ÿ”— Follow-up

Problem: Susan had $46 in her wallet. After she spent $45 on a new toy robot, her mother noticed her sadness for having only $1 left and decided to give her the same amount as she initially had ($46). How much money does Susan have now?

Llama 3 8B:

Reasoning: Susan initially had $46 in her wallet.
She spent $45 on a new toy robot, leaving her with $1.
Her mother gave her the same amount as she initially had, which is $46.
$1 + $46 = <<$1+$46=$47>>$47
Susan now has $47 in her wallet.
### Answer: $47

Expected answer: 47

Correct? Yes

๐Ÿ”— Follow-up

Problem: Instead of spending $45 on a toy robot, what if Susan decided to save a bit more money and spent only $40 on a less expensive robot? How much money would she have left in her wallet now?

Llama 3 8B:

Reasoning: Susan starts with $46 in her wallet.
She spends $40 on a less expensive robot, which means she subtracts $40 from her initial amount.
$46 - $40 = <<$46-$40=$6>>$6
Susan currently has $6 left in her wallet.
### Answer: $6

Expected answer: 6

Correct? Yes

๐Ÿ”— Problem

Problem: Alex has $35.79 saved in his piggy bank. His grandma gave him $8 for his birthday. How much does Alex have now after receiving his birthday money?

Llama 3 8B:

Reasoning: Alex initially had $35.79.
He received $8 as a birthday gift.
To find the total amount Alex has now, we add the initial amount to the birthday gift: $35.79 + $8 = $43.79.
### Answer: $43.79

Expected answer: 43.7900000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: What if Alex initially had $45 in his piggy bank instead of $35.79, then received the same $8 from his grandma. How much money does he have now?

Llama 3 8B:

Reasoning: Alex initially had $45.
He received $8 as a birthday gift.
To find the total amount Alex has now, we add the initial amount to the birthday gift: $45 + $8 = $53.
### Answer: $53

Expected answer: 53

Correct? Yes

๐Ÿ”— Problem

Problem: John has $37 in his bank account. If he receives an additional $8 from his mother, how much money does he now have in his account?

Llama 3 8B:

Reasoning: John initially has $37 in his bank account.
He receives an additional $8 from his mother, so we add $8 to his initial amount: $37 + $8 = <<37+8=45>>.
### Answer: 45

Expected answer: 45

Correct? Yes

๐Ÿ”— Follow-up

Problem: John used $4 of his total money to pay for a bus ticket. How much money does he have left now?

Llama 3 8B:

Reasoning: John had $45 initially.
He used $4 to pay for a bus ticket, so we subtract $4 from his initial amount: $45 - $4 = <<45-4=41>>.
### Answer: 41

Expected answer: 41

Correct? Yes

๐Ÿ”— Problem

Problem: Jim has $43.59 in his savings account. He receives his pocket money of $2.2. How much money does he have now in his savings account?

Llama 3 8B:

Reasoning: Jim initially has $43.59 in his savings account.
He receives $2.20 as pocket money, so we add this amount to his initial balance:
$43.59 + $2.20 = $45.79

### Answer: $45.79

Expected answer: 45.7900000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After Jim adds his pocket money of $2.2 to his savings account total of $43.59, he decides to deposit an additional $25.2 that he earned from helping his neighbor with yard work. How much money does he have in his savings account now?

Llama 3 8B:

Reasoning: Jim already has $45.79 in his savings account after adding his pocket money.
He deposits an additional $25.20, so we add this amount to his current balance:
$45.79 + $25.20 = $71.00

### Answer: $71.00

Expected answer: 70.9900000000000

Correct? No

๐Ÿ”— Follow-up

Problem: After helping his neighbor with yard work, instead of starting with $43.59, Jim only had $29 in his savings account initially. After adding his pocket money of $2.2, how much money does he have in his savings account now?

Llama 3 8B:

Reasoning: Jim initially has $29 in his savings account.
He receives $2.20 as pocket money, so we add this amount to his initial balance:
$29 + $2.20 = $31.20

### Answer: $31.20

Expected answer: 31.2000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John has $36.92 in his wallet. After his birthday, he gets an additional $18.42 from his grandmother. How much money does John have now?

Llama 3 8B:

Reasoning: John initially has $36.92 in his wallet.
He receives an additional $18.42 from his grandmother.
To find the total amount of money John has now, we add the initial amount to the additional amount: $36.92 + $18.42 = <<36.92+18.42=55.34>>.
### Answer: 55.34

Expected answer: 55.3400000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous scenario, John had $36.92 in his wallet and received an additional $18.42 from his grandmother. But what if instead of getting $18.42, John only got $6 from his grandmother for his birthday. How much money does John have now?

Llama 3 8B:

Reasoning: John initially has $36.92 in his wallet.
He receives an additional $6 from his grandmother.
To find the total amount of money John has now, we add the initial amount to the additional amount: $36.92 + $6 = <<36.92+6=42.92>>.
### Answer: 42.92

Expected answer: 42.9200000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Sarah had $38.45 in her savings account. She added another $39 to it. Later, she received a gift of $44.5. How much money does Sarah now have in total?

Llama 3 8B:

Reasoning: Sarah initially had $38.45 in her savings account.
She added $39 to it, so she now has $38.45 + $39 = $77.45.
Later, she received a gift of $44.50, so she now has $77.45 + $44.50 = $121.95.
### Answer: $121.95

Expected answer: 121.950000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Sarah decided to not deposit $39 but only a total of $31 to add to her existing savings of $38.45. If she still received the gift of $44.5, how much money does she now have in total?

Llama 3 8B:

Reasoning: Sarah initially had $38.45 in her savings account.
She added $31 to it, so she now has $38.45 + $31 = $69.45.
Later, she received a gift of $44.50, so she now has $69.45 + $44.50 = $113.95.
### Answer: $113.95

Expected answer: 113.950000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Tom has a savings of $17.44. He found a $23.3 bill on the street. How much money does he now have in total?

Llama 3 8B:

Reasoning: Tom initially had $17.44.
He found a $23.30 bill, which is more than his initial savings.
So, he adds the found bill to his initial savings: $17.44 + $23.30 = <<$17.44 + $23.30=$40.74>>.
### Answer: $40.74

Expected answer: 40.7400000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Tom decided to save a little more and added $1 to his total savings. How much money does he have now in total?

Llama 3 8B:

Reasoning: Tom already had $40.74.
He added $1 to his total savings: $40.74 + $1 = <<$40.74 + $1=$41.74>>.
### Answer: $41.74

Expected answer: 41.7400000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After careful consideration, Tom realized he initially had $18, not $17.44. If he found the same $23.3 on the street, how much would he have in total now?

Llama 3 8B:

Reasoning: Tom initially had $18.
He found a $23.30 bill, which is more than his initial savings.
So, he adds the found bill to his initial savings: $18 + $23.30 = <<$18 + $23.30=$41.30>>.
### Answer: $41.30

Expected answer: 41.3000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: If a car consumes 615 liters of gas every 41 hours, how many liters of gas will it consume in 30 hours?

Llama 3 8B:

Reasoning: The car consumes 615 liters of gas every 41 hours. To find the rate at which the car consumes gas, we can divide the amount of gas consumed (615 liters) by the time taken (41 hours). This gives us the rate of consumption as 615/41 liters per hour.

To find the amount of gas consumed in 30 hours, we can multiply the rate of consumption by the time taken: (615/41) x 30 = 450 liters.

### Answer: 450

Expected answer: 450

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous problem, if a car consumes 615 liters of gas every 41 hours, and it has consumed gas for 30 hours. But because of a leak, it lost 46.33 liters of that gas. How many liters of gas remain in the car?

Llama 3 8B:

Reasoning: The car has consumed gas for 30 hours, and it would have consumed 450 liters of gas in that time (as calculated earlier). However, it lost 46.33 liters of gas due to the leak. To find the amount of gas remaining, we subtract the amount lost from the total amount consumed: 450 - 46.33 = 403.67 liters.

### Answer: 403.67

Expected answer: 403.670000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous problem, what if the car's fuel consumption rate was instead 615 liters every 23 hours? How many liters of gas would it consume in 30 hours at this new rate?

Llama 3 8B:

Reasoning: The car consumes 615 liters of gas every 23 hours. To find the rate at which the car consumes gas, we can divide the amount of gas consumed (615 liters) by the time taken (23 hours). This gives us the rate of consumption as 615/23 liters per hour.

To find the amount of gas consumed in 30 hours, we can multiply the rate of consumption by the time taken: (615/23) x 30 = 795 liters.

### Answer: 795

Expected answer: 18450/23

Correct? No

๐Ÿ”— Problem

Problem: Emma has $38 in her wallet. After buying a book she only had $32.6 left. How much did the book cost?

Llama 3 8B:

Reasoning: Emma had $38 initially and then had $32.6 left after buying a book. To find the cost of the book, we subtract the amount left from the initial amount: $38 - $32.6 = $5.4.
### Answer: $5.4

Expected answer: 5.40000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Stacey spent 20 dollars on books and another 35 dollars on school supplies. Later in the day, she decided to buy a backpack that cost 41 dollars more than her total earlier expenses. How much money did Stacey spend in all?

Llama 3 8B:

Reasoning: Stacey spent 20 + 35 = 55 dollars on books and school supplies.
The backpack cost 41 dollars more than her total earlier expenses, so the backpack cost 55 + 41 = 96 dollars.
Stacey spent 96 + 55 = 151 dollars in all.
### Answer: 151

Expected answer: 96

Correct? No

๐Ÿ”— Problem

Problem: A car completes a journey of 176.0 miles in 20.0 hours. How many miles does the car travel per hour?

Llama 3 8B:

Reasoning: To find the distance traveled per hour, we can divide the total distance traveled (176.0 miles) by the time taken (20.0 hours).

Distance per hour = Total distance รท Time taken
= 176.0 miles รท 20.0 hours
= 8.8 miles per hour

### Answer: 8.8

Expected answer: 8.80000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Kaden's piggy bank has $9.9. He then adds $30.3 to his piggy bank. How much money does Kaden have in his piggy bank now?

Llama 3 8B:

Reasoning: Kaden initially has $9.9 in his piggy bank.
He adds $30.3 to his piggy bank, so we add the two amounts together: $9.9 + $30.3 = $40.2
### Answer: $40.2

Expected answer: 40.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Kaden thought back and realized he actually started with $13 in his piggy bank instead of $9.9 before adding the $30.3. How much money would he have had in his piggy bank then?

Llama 3 8B:

Reasoning: Kaden initially has $13 in his piggy bank.
He adds $30.3 to his piggy bank, so we add the two amounts together: $13 + $30.3 = $43.3
### Answer: $43.3

Expected answer: 43.3000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Joe had $42.9 in his wallet, but he spent $34. How much money does Joe have left in his wallet now?

Llama 3 8B:

Reasoning: Joe had $42.9 initially, and he spent $34. To find out how much money he has left, we subtract the amount he spent from the initial amount:

$42.9 - $34 = $8.9

So, Joe has $8.9 left in his wallet now.

### Answer: $8.9

Expected answer: 8.90000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following on from the previous problem, Joe found a toy he wanted to buy for $35.44. After spending $34, how much more money does he need in order to buy the toy?

Llama 3 8B:

Reasoning: Joe has $8.9 left in his wallet after spending $34. The toy costs $35.44. To find out how much more money he needs, we subtract the amount he has from the cost of the toy:

$35.44 - $8.9 = $26.54

So, Joe needs $26.54 more to buy the toy.

### Answer: $26.54

Expected answer: 26.5400000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following on from the previous problem, suppose Joe originally had $43 in his wallet instead of $42.9. After spending $34, how much money does Joe have left in his wallet now?

Llama 3 8B:

Reasoning: Joe had $43 initially, and he spent $34. To find out how much money he has left, we subtract the amount he spent from the initial amount:

$43 - $34 = $9

So, Joe has $9 left in his wallet now.

### Answer: $9

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

Problem: You bought a car for $303.5756 and you decided to pay it off in 19.51 monthly installments. After calculating, you find the amount for each monthly installment. If you add $41.35 to your monthly installments for car insurance, what is your total monthly payment for your car and insurance?

Llama 3 8B:

Reasoning: To find the amount for each monthly installment, we need to divide the total amount paid ($303.5756) by the number of installments (19.51). We can do this by converting the decimal to a fraction: 19.51 = 1951/100.

Now, we can divide the total amount by the number of installments:

$303.5756 รท (1951/100) = $15.55

So, the monthly installment is $15.55.

To find the total monthly payment for the car and insurance, we add the monthly installment to the car insurance amount:

$15.55 + $41.35 = $56.90

### Answer: $56.90

Expected answer: 56.9100000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In addition to your monthly car payment and insurance, you also budget $7.4 each month for car maintenance. What, then, would be your total monthly expense related to your car taking into account payment for the car itself, insurance, and maintenance?

Llama 3 8B:

Reasoning: We already calculated the total monthly payment for the car and insurance as $56.90. To find the total monthly expense related to the car, we add the monthly maintenance cost to this amount:

$56.90 + $7.40 = $64.30

### Answer: $64.30

Expected answer: 64.3100000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: What if instead of $303.5756, the total cost of your car was only $41, and you decided to pay it off in 19.51 equal monthly installments. If you still add $41.35 for your monthly car insurance, how much would be your total monthly spending for your car payment and insurance then?

Llama 3 8B:

Reasoning: Since the total cost of the car is now $41, we can divide it by the number of installments (19.51) to find the monthly installment:

$41 รท (1951/100) = $2.09

So, the monthly installment is $2.09.

To find the total monthly payment for the car and insurance, we add the monthly installment to the car insurance amount:

$2.09 + $41.35 = $43.44

### Answer: $43.44

Expected answer: 43.4514864172219

Correct? Yes

๐Ÿ”— Problem

Problem: John has $28.2 in his wallet. He received an additional $8 from his friend. How much money does he have now in total?

Llama 3 8B:

Reasoning: John initially had $28.2 in his wallet.
He received an additional $8 from his friend, so we add $28.2 and $8 to find the total amount of money he has now.
$28.2 + $8 = <<28.2+8=36.2>>36.2
### Answer: 36.2

Expected answer: 36.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After initially having $28.2 plus $8, John decides to count his money again and realizes he actually started with $35 and still received $8 from his friend. How much money does he have now in total?

Llama 3 8B:

Reasoning: John initially had $35 in his wallet.
He received an additional $8 from his friend, so we add $35 and $8 to find the total amount of money he has now.
$35 + $8 = <<35+8=43>>43
### Answer: 43

Expected answer: 43

Correct? Yes

๐Ÿ”— Problem

Problem: Lisa has 30.3 acres of farmland and she recently bought another plot of 5.9 acres. What is the total acreage of Lisa's farmland now?

Llama 3 8B:

Reasoning: Lisa initially had 30.3 acres of farmland.
She bought an additional 5.9 acres.
To find the total acreage, we add the initial acreage to the additional acreage: 30.3 + 5.9 = <<30.3+5.9=36.2>>36.2 acres.
### Answer: 36.2

Expected answer: 36.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Lisa has a twin sister, Mona, who also has exactly the same amount of farmland as Lisa does. If Lisa has 30.3 acres of farmland and she recently bought another plot of 5.9 acres, how much total land do Lisa and Mona have combined now, considering that they both have the same amount of land?

Llama 3 8B:

Reasoning: Lisa initially had 30.3 acres of farmland.
She bought an additional 5.9 acres, making her total acreage 30.3 + 5.9 = 36.2 acres.
Since Mona has the same amount of farmland as Lisa, Mona also has 36.2 acres.
To find the total acreage of both Lisa and Mona combined, we add their individual acreages: 36.2 + 36.2 = <<36.2+36.2=72.4>>72.4 acres.
### Answer: 72.4

Expected answer: 72.4000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John saved $16 from his weekly allowance. On his birthday, his grandmother gave him $25.17 as a gift. How much money does John have in total?

Llama 3 8B:

Reasoning: John initially had $16.
He received $25.17 as a gift from his grandmother.
To find the total amount of money John has, we add the initial amount and the gift: $16 + $25.17 = <<$16 + $25.17 = $41.17>>.
### Answer: $41.17

Expected answer: 41.1700000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In addition to the money John saved from his allowance and his birthday gift, he also earned $20.9 from mowing the neighbor's lawn. How much money does John have in total now?

Llama 3 8B:

Reasoning: John already had $41.17.
He earned $20.90 from mowing the neighbor's lawn.
To find the total amount of money John has now, we add the previous amount and the new earnings: $41.17 + $20.90 = <<$41.17 + $20.90 = $62.07>>.
### Answer: $62.07

Expected answer: 62.0700000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Joanna is saving money to buy a new bike. She decides to save $32.2 every week. After 17.38 weeks, how much money will she have saved?

Llama 3 8B:

Reasoning: Joanna saves $32.2 every week, and she saves for 17.38 weeks. To find the total amount she has saved, we multiply the amount she saves per week by the number of weeks she saves:

$32.2/week ร— 17.38 weeks = $560.76

### Answer: $560.76

Expected answer: 559.636000000000

Correct? No

๐Ÿ”— Problem

Problem: John has 48 dollars in his wallet. He bought a new book that cost him 18 dollars. How much money does he have left in his wallet now?

Llama 3 8B:

Reasoning: John had 48 dollars initially.
He spent 18 dollars on the book, so he subtracts 18 from 48 to find out how much he has left.
48 - 18 = 30
### Answer: 30

Expected answer: 30

Correct? Yes

๐Ÿ”— Follow-up

Problem: John originally had 32 dollars in his wallet, not 48. After spending 18 dollars on a book, how much money does he have left in his wallet now?

Llama 3 8B:

Reasoning: John had 32 dollars initially.
He spent 18 dollars on the book, so he subtracts 18 from 32 to find out how much he has left.
32 - 18 = 14
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

Problem: A student has $39.4 in his bank account initially. He earned $5 from selling used textbooks. How much money is now in his bank account?

Llama 3 8B:

Reasoning: The student initially had $39.4 in his bank account.
He earned $5 from selling used textbooks, so we add this amount to his initial balance.
$39.4 + $5 = $44.4

### Answer: $44.4

Expected answer: 44.4000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: I have $38, and then I bought a toy for $3. After that, I was given $40. How much money do I have in total now?

Llama 3 8B:

Reasoning: Initially, I have $38.
I spent $3 on a toy, so I have $38 - $3 = $35 left.
Then, I was given $40, so I now have $35 + $40 = $75.
### Answer: $75

Expected answer: 75

Correct? Yes

๐Ÿ”— Follow-up

Problem: If originally, I had $46 instead of $38 and after I bought the same toy for $3, then I was given the exact same amount of $40. How much money do I have in total now?

Llama 3 8B:

Reasoning: Initially, I have $46.
I spent $3 on a toy, so I have $46 - $3 = $43 left.
Then, I was given $40, so I now have $43 + $40 = $83.
### Answer: $83

Expected answer: 83

Correct? Yes

๐Ÿ”— Problem

Problem: Sally ran 38.5 miles in a week. On the next week, she decided to increase her distance by 2 miles. How many miles did she run in the next week?

Llama 3 8B:

Reasoning: Sally ran 38.5 miles in the first week. To find the distance she ran in the next week, we add 2 miles to the original distance: 38.5 + 2 = 40.5 miles.
### Answer: 40.5

Expected answer: 40.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: If initially, instead of increasing her distance by 2 miles in the second week, Sally had decided to increase her mileage by 41 miles. How many miles would she have run in the second week?

Llama 3 8B:

Reasoning: Sally ran 38.5 miles in the first week. If she had increased her distance by 41 miles in the second week, we add 41 miles to the original distance: 38.5 + 41 = 79.5 miles.
### Answer: 79.5

Expected answer: 79.5000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: A farmer buys pesticide for his farm. Each bottle of pesticide costs $16.01. If he buys 17 bottles, how much money does he spend?

Llama 3 8B:

Reasoning: The farmer buys 17 bottles of pesticide, and each bottle costs $16.01. To find the total cost, we multiply the number of bottles by the cost of each bottle:

17 bottles x $16.01 per bottle = $272.17

### Answer: $272.17

Expected answer: 272.170000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After buying the pesticide, the farmer receives a discount coupon that allows him to save $26. After applying the coupon, how much does he spend in total for the 17 bottles of pesticide?

Llama 3 8B:

Reasoning: The farmer originally spends $272.17 on the 17 bottles of pesticide. After receiving a discount coupon that allows him to save $26, he can subtract $26 from the original amount:

$272.17 - $26 = $246.17

### Answer: $246.17

Expected answer: 246.170000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: The farmer is considering a different pesticide that costs $23 per bottle. If the farmer were to buy 17 bottles of this other pesticide instead, how much would it cost him in total?

Llama 3 8B:

Reasoning: The farmer is considering a different pesticide that costs $23 per bottle. To find the total cost, we multiply the number of bottles by the cost of each bottle:

17 bottles x $23 per bottle = $391

### Answer: $391

Expected answer: 391

Correct? Yes

๐Ÿ”— Problem

Problem: Jim spent $28 on groceries and then $44.99 on a new shirt. How much money did he spend in total?

Llama 3 8B:

Reasoning: Jim spent $28 on groceries, and then he spent $44.99 on a new shirt. To find the total amount he spent, we add the two amounts together: $28 + $44.99 = $72.99.
### Answer: $72.99

Expected answer: 72.9900000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Jim spent $28 on groceries and then $44.99 on a new shirt. Later, he decided to buy a book for $18.16. How much money did he spend in total?

Llama 3 8B:

Reasoning: Jim initially spent $28 on groceries and then $44.99 on a new shirt, for a total of $28 + $44.99 = $72.99. Later, he spent $18.16 on a book. To find the total amount he spent, we add the initial amount to the amount he spent on the book: $72.99 + $18.16 = $91.15.
### Answer: $91.15

Expected answer: 91.1500000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the first shopping trip, Jim spent $28 on groceries and then $44.99 on a new shirt. On a later trip, he spent $28 on groceries again, but this time he bought a different shirt for $41. How much money did he spend in total on the second trip?

Llama 3 8B:

Reasoning: On the second trip, Jim spent $28 on groceries, and then he spent $41 on a new shirt. To find the total amount he spent, we add the two amounts together: $28 + $41 = $69.
### Answer: $69

Expected answer: 69

Correct? Yes

๐Ÿ”— Problem

Problem: John has $13.8 in his savings account. After doing some chores, his mom gives him additional $3. How much money does John have in his savings account now?

Llama 3 8B:

Reasoning: John initially has $13.8 in his savings account.
He receives an additional $3 from his mom.
To find the total amount of money John has now, we add the initial amount and the additional amount: $13.8 + $3 = <<13.8+3=16.8>>16.8.
### Answer: 16.8

Expected answer: 16.8000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous scenarios, let's say John initially had $31 in his savings account instead of $13.8. After doing his chores, his mom gives him an additional $3. How much money would John have in his savings account then?

Llama 3 8B:

Reasoning: John initially has $31 in his savings account.
He receives an additional $3 from his mom.
To find the total amount of money John has now, we add the initial amount and the additional amount: $31 + $3 = <<31+3=34>>34.
### Answer: 34

Expected answer: 34

Correct? Yes

๐Ÿ”— Problem

Problem: John has $19 in his wallet and he finds $5 on the street. After adding this to his wallet, he discovers a forgotten envelope with $27.97 in it, which he also adds to his wallet. He then heads to a collector's flea market, where he buys 17 vintage comic books, each costing the total amount he currently has in his wallet. How much does he spend in total on the comic books?

Llama 3 8B:

Reasoning: John starts with $19 in his wallet. He finds $5 on the street, so he now has $19 + $5 = $24. He then finds a forgotten envelope with $27.97 in it, so he now has $24 + $27.97 = $51.97. He then spends the total amount he currently has in his wallet, which is $51.97, on 17 comic books. Since each comic book costs the total amount he has, he spends $51.97 x 17 = <<51.97*17=884.49>>$884.49.
### Answer: $884.49

Expected answer: 883.490000000000

Correct? No

๐Ÿ”— Problem

Problem: John has $35.6 in his wallet. After buying a chocolate bar for $32, he receives some money from his friend who owed him $46.3, which amount is aslo added to his wallet. Later, his grandmother gave him an extra $12.9. How much money does he have now in his wallet?

Llama 3 8B:

Reasoning: John starts with $35.6.
He spends $32 on a chocolate bar, so he has $35.6 - $32 = $3.6 left.
He receives $46.3 from his friend, so he now has $3.6 + $46.3 = $50.9.
His grandmother gives him an extra $12.9, so he now has $50.9 + $12.9 = $63.8.
### Answer: $63.8

Expected answer: 62.8000000000000

Correct? No

๐Ÿ”— Problem

Problem: A car travels a total distance of 436.23179999999996 miles, and it used up 46.26 gallons of gas for the entire trip. What was the car's average mileage per gallon of gas used?

Llama 3 8B:

Reasoning: To find the average mileage per gallon of gas used, we need to divide the total distance traveled by the total amount of gas used.

First, we can round the total distance traveled to 436 miles, since the extra digits are just due to rounding errors.

Then, we can divide the total distance by the total amount of gas used:

436 miles รท 46.26 gallons = 9.43 miles per gallon

### Answer: 9.43 miles per gallon

Expected answer: 9.43000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following the previous problem about the car's mileage, if the car originally travelled a total of 436.23179999999996 miles with 17 gallons of gas instead of 46.26, what would have been the car's average mileage per gallon of gas used?

Llama 3 8B:

Reasoning: If the car used 17 gallons of gas instead of 46.26, we can calculate the average mileage per gallon as follows:

Total distance traveled = 436.23179999999996 miles
Total gas used = 17 gallons

Average mileage per gallon = Total distance traveled รท Total gas used
= 436.23179999999996 miles รท 17 gallons
= 25.63 miles per gallon

### Answer: 25.63 miles per gallon

Expected answer: 25.6606941176471

Correct? Yes

๐Ÿ”— Problem

Problem: Peter has $41.21 saved from his birthday and just received an additional $28.27 from mowing lawns. How much money does he have in total now?

Llama 3 8B:

Reasoning: Peter initially had $41.21.
He received an additional $28.27.
To find the total amount of money Peter has now, we add the initial amount and the additional amount: $41.21 + $28.27 = <<$41.21 + $28.27 = $69.48>>.
### Answer: $69.48

Expected answer: 69.4800000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Sammy runs at a speed of 6.4 mph. If he runs for 43 hours in total, how far does he travel?

Llama 3 8B:

Reasoning: Distance = Speed x Time. Sammy runs for 43 hours, and his speed is 6.4 mph. So, we can calculate the distance as follows:
Distance = 6.4 mph x 43 hours = 276.8 miles

### Answer: 276.8

Expected answer: 275.200000000000

Correct? No

๐Ÿ”— Problem

Problem: John has 50 dollars. He spent 24 dollars on a video game. How much money does John have left?

Llama 3 8B:

Reasoning: John started with $50 and spent $24, so we need to subtract $24 from $50 to find out how much money he has left.

$50 - $24 = $26

John has $26 left.

### Answer: $26

Expected answer: 26

Correct? Yes

๐Ÿ”— Follow-up

Problem: If John initially had only 27 dollars instead of 50 dollars, and he still spent 24 dollars on a video game, how much money would he have left?

Llama 3 8B:

Reasoning: John started with $27 and spent $24, so we need to subtract $24 from $27 to find out how much money he has left.

$27 - $24 = $3

John has $3 left.

### Answer: $3

Expected answer: 3

Correct? Yes

๐Ÿ”— Problem

Problem: David earns $46.37 an hour. His friend Robert earns $19.96 an hour. For one shift of 14.28 hours, how much did they collectively earn if they worked the same amount of hours?

Llama 3 8B:

Reasoning: David earns $46.37 per hour, so for 14.28 hours, he earns 46.37 * 14.28 = <<46.37 * 14.28=662.43>>662.43.
Robert earns $19.96 per hour, so for 14.28 hours, he earns 19.96 * 14.28 = <<19.96 * 14.28=284.41>>284.41.
Together, they earn 662.43 + 284.41 = <<662.43 + 284.41=946.84>>946.84.
### Answer: 946.84

Expected answer: 947.192400000000

Correct? No

๐Ÿ”— Problem

Problem: John has $6.3 in his piggy bank, and he finds a $39 bill on the street. How much money does he have now?

Llama 3 8B:

Reasoning: John initially has $6.3 in his piggy bank.
He finds a $39 bill on the street, which he adds to his initial amount.
To find the total amount, we add the two amounts together: $6.3 + $39 = <<6.3+39=45.3>>.
### Answer: $45.3

Expected answer: 45.3000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John's twin brother Jacob, who also had $6.3 in his piggy bank and found a $39 bill on the street, decided to combine his money with John's. How much money do they have together now?

Llama 3 8B:

Reasoning: John has $45.3 after adding the $39 bill to his initial $6.3.
Jacob also has $45.3, since he had the same initial amount and found the same $39 bill.
To find the total amount they have together, we add their individual amounts: $45.3 + $45.3 = <<45.3+45.3=90.6>>.
### Answer: $90.6

Expected answer: 90.6000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John has $13 in his wallet. He then adds $33.88 more. How much money does John have in total now?

Llama 3 8B:

Reasoning: John initially has $13 in his wallet.
He adds $33.88 more, so we add the two amounts together: $13 + $33.88 = <<$13 + $33.88=46.88>>.
### Answer: $46.88

Expected answer: 46.8800000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Roger had $47 in his wallet. After lunch, he only had $28.5 left. How much money did he spend on lunch?

Llama 3 8B:

Reasoning: Roger had $47 initially and ended up with $28.5, so he spent $47 - $28.5 = <<47-28.5=18.5>>$18.5 on lunch.
### Answer: 18.5

Expected answer: 18.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Roger decided to convert the amount of money he spent on lunch to another currency where the exchange rate is $2.47 per dollar. How much would his lunch cost in this new currency?

Llama 3 8B:

Reasoning: Roger spent $18.5 on lunch, and we need to convert this amount to the new currency. Since the exchange rate is $2.47 per dollar, we multiply the amount spent by the exchange rate: $18.5 x $2.47 = <<18.5*2.47=45.69>>$45.69.
### Answer: 45.69

Expected answer: 45.6950000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Roger initially thought he had $45 in his wallet, not $47. Given this, how much money did he actually spend on lunch?

Llama 3 8B:

Reasoning: Roger initially thought he had $45, but he actually had $47. So, he had $47 - $45 = <<47-45=2>>$2 more than he thought. He ended up with $28.5, so he spent $45 + $2 = $47 initially, and then $47 - $28.5 = <<47-28.5=18.5>>$18.5 on lunch.
### Answer: 18.5

Expected answer: 16.5000000000000

Correct? No

๐Ÿ”— Problem

Problem: Jack has $29 already, and then his grandma gives him another $10.28 for his birthday. How much money does Jack have now?

Llama 3 8B:

Reasoning: Jack already has $29.
His grandma gives him $10.28, so we add this amount to the initial amount: $29 + $10.28 = <<$29 + $10.28=$39.28>>.
### Answer: $39.28

Expected answer: 39.2800000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose instead of giving Jack $30 on his birthday instead of $10.28. Now, how much money does Jack have before he goes to the toy store?

Llama 3 8B:

Reasoning: Jack already has $29.
His grandma gives him $30, so we add this amount to the initial amount: $29 + $30 = <<$29 + $30=$59>>.
### Answer: $59

Expected answer: 59

Correct? Yes

๐Ÿ”— Problem

Problem: John had $18.4 in his wallet, but he spent $3.73 on a candy bar. Later that day, his mom gave him $33.4. After that, he spent $28 on a new video game. How much money does he have left?

Llama 3 8B:

Reasoning: John started with $18.4.
He spent $3.73, so he had $18.4 - $3.73 = $14.67 left.
Then, his mom gave him $33.4, so he had $14.67 + $33.4 = $48.07.
After that, he spent $28, so he had $48.07 - $28 = $20.07 left.
### Answer: $20.07

Expected answer: 20.0700000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John originally had $18.4 in his wallet, but instead of spending $3.73 on a candy bar, what if he spent $9? Then his mom gave him $33.4 and he later spent $28 on a new video game. How much money does he have left now?

Llama 3 8B:

Reasoning: John started with $18.4.
He spent $9, so he had $18.4 - $9 = $9.4 left.
Then, his mom gave him $33.4, so he had $9.4 + $33.4 = $42.8.
After that, he spent $28, so he had $42.8 - $28 = $14.8 left.
### Answer: $14.80

Expected answer: 14.8000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Joseph paid $721.11 for 39 movie tickets. How much does each movie ticket cost?

Llama 3 8B:

Reasoning: Let's divide the total amount Joseph paid ($721.11) by the number of movie tickets (39) to find the cost of each ticket.

$721.11 รท 39 = $18.51

### Answer: $18.51

Expected answer: 18.4900000000000

Correct? No

๐Ÿ”— Problem

Problem: A customer went shopping and spent $11.01 on each of the 34.2 pounds of fruits he bought. He also spent an extra $7 on snacks. How much total money did he spend?

Llama 3 8B:

Reasoning: The customer spent $11.01 on each pound of fruits, and he bought 34.2 pounds. To find the total amount spent on fruits, multiply the cost per pound by the number of pounds: $11.01 x 34.2 = $376.22.
He also spent an extra $7 on snacks. To find the total amount spent, add the amount spent on fruits and snacks: $376.22 + $7 = $383.22.
### Answer: $383.22

Expected answer: 383.542000000000

Correct? No

๐Ÿ”— Problem

Problem: A car travels at a constant speed of 48 km per hour. How far will the car have travelled after 3.6 hours?

Llama 3 8B:

Reasoning: The car travels at a constant speed of 48 km per hour. To find the distance traveled, we multiply the speed by the time: 48 km/h x 3.6 h = 172.8 km.
### Answer: 172.8

Expected answer: 172.800000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following the previous scenario, after traveling for 3.6 hours, the car continues to travel for another 30.0 km. What is the total distance traveled by the car?

Llama 3 8B:

Reasoning: The car has already traveled 172.8 km after 3.6 hours. Then, it travels an additional 30.0 km. To find the total distance traveled, we add the two distances: 172.8 km + 30.0 km = 202.8 km.
### Answer: 202.8

Expected answer: 202.800000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following the previous scenario, suppose the car had traveled at a speed of 46 km per hour instead of 48 km. How far would the car have traveled after 3.6 hours?

Llama 3 8B:

Reasoning: The car travels at a constant speed of 46 km per hour. To find the distance traveled, we multiply the speed by the time: 46 km/h x 3.6 h = 165.6 km.
### Answer: 165.6

Expected answer: 165.600000000000

Correct? Yes

๐Ÿ”— Problem

Problem: A cyclist pedals for 50.0 kilometers and then takes a break, having covered 38.4 kilometers before stopping. How far did the cyclist pedal after resuming from the break?

Llama 3 8B:

Reasoning: The cyclist pedals for 50.0 kilometers initially, and then covers 38.4 kilometers before stopping. To find the total distance covered, we add these two distances: 50.0 + 38.4 = 88.4 kilometers.
The cyclist pedals for 50.0 kilometers initially, so the distance pedaled after resuming from the break is the total distance minus the initial distance: 88.4 - 50.0 = 38.4 kilometers.
### Answer: 38.4 kilometers.

Expected answer: 11.6000000000000

Correct? No

๐Ÿ”— Problem

Problem: A delivery driver travels 67.66 miles in 17 hours. How far does he drive in one hour?

Llama 3 8B:

Reasoning: To find the distance traveled in one hour, we can divide the total distance traveled (67.66 miles) by the total time taken (17 hours).

67.66 miles รท 17 hours = 3.97 miles per hour

### Answer: 3.97

Expected answer: 3.98000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: The delivery driver now realizes that his shift was 18 hours long, not 17 hours, for the 67.66-mile long journey. How far does he now calculate his average distance driven per hour?

Llama 3 8B:

Reasoning: Since the total distance traveled remains the same (67.66 miles), but the total time taken has increased to 18 hours, we can recalculate the average distance driven per hour.

67.66 miles รท 18 hours = 3.76 miles per hour

### Answer: 3.76

Expected answer: 3.75888888888889

Correct? Yes

๐Ÿ”— Problem

Problem: Maria has $19 saved up. She later receives $43 from her birthday. How much money will she have left after buying a book that costs $40?

Llama 3 8B:

Reasoning: Maria has $19 initially.
She receives $43 from her birthday, so she now has $19 + $43 = $62.
She buys a book that costs $40, so she spends $40.
She has $62 - $40 = $22 left after buying the book.
### Answer: 22

Expected answer: 22

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose initially Maria had saved up $19. Then, instead of receiving $43 from her birthday, she only received $28. After buying the same book that costs $40, how much money will she have left?

Llama 3 8B:

Reasoning: Maria has $19 initially.
She receives $28 from her birthday, so she now has $19 + $28 = $47.
She buys a book that costs $40, so she spends $40.
She has $47 - $40 = $7 left after buying the book.
### Answer: 7

Expected answer: 7

Correct? Yes

๐Ÿ”— Problem

Problem: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. How much money does she have now in total?

Llama 3 8B:

Reasoning: Mia initially had $41.
She earned an additional $24.7 from babysitting.
To find the total amount of money Mia has now, we add the initial amount and the additional amount: $41 + $24.7 = <<41+24.7=65.7>>65.7.
### Answer: 65.7

Expected answer: 65.7000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. After gathering her savings, she decided to buy a new book that cost $38.6. How much money does she have left after buying the book?

Llama 3 8B:

Reasoning: Mia initially had $41.
She earned an additional $24.7 from babysitting.
She had a total of $41 + $24.7 = $65.7.
She spent $38.6 on a book.
To find the amount of money Mia has left, we subtract the amount she spent from the total amount: $65.7 - $38.6 = <<65.7-38.6=27.1>>27.1.
### Answer: 27.1

Expected answer: 27.1000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Instead of $41 from her birthday, suppose Mia had only managed to save $35. Including her earnings of $24.7 from babysitting, how much money does she now have in total?

Llama 3 8B:

Reasoning: Mia initially had $35.
She earned an additional $24.7 from babysitting.
To find the total amount of money Mia has now, we add the initial amount and the additional amount: $35 + $24.7 = <<35+24.7=59.7>>59.7.
### Answer: 59.7

Expected answer: 59.7000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: John spent 12 dollars on lunch and an additional 5 dollars on a dessert. After lunch, he went to a clothing store and bought a shirt for $26.00. How much total money did John spend?

Llama 3 8B:

Reasoning: John spent $12 on lunch and $5 on a dessert, so the total amount he spent before buying the shirt is $12 + $5 = $17.
He then spent $26 on the shirt, so the total amount he spent is $17 + $26 = $43.
### Answer: 43

Expected answer: 43.0000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In addition to his other expenses, John decided to buy twenty raffle tickets for a charity event. Each ticket cost the same as the total amount of money he had spent earlier. How much money did John spend on the raffle tickets?

Llama 3 8B:

Reasoning: John spent a total of $43 earlier, so each raffle ticket costs $43.
He bought 20 raffle tickets, so the total amount he spent on the raffle tickets is $43 x 20 = $860.
### Answer: 860

Expected answer: 860.000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John spent 12 dollars on lunch and an additional 5 dollars on a dessert. After lunch, he went to a clothing store and was contemplating buying a shirt. However, instead of the $26.00 shirt he bought previously, he decided to buy a more expensive shirt that costs $49. What would be the total amount of money spent in this scenario?

Llama 3 8B:

Reasoning: John spent $12 on lunch and $5 on a dessert, so the total amount he spent before buying the shirt is $12 + $5 = $17.
He then spent $49 on the shirt, so the total amount he spent is $17 + $49 = $66.
### Answer: 66

Expected answer: 66

Correct? Yes

๐Ÿ”— Problem

Problem: Laura deposited $23 into her bank account on Monday. On Tuesday, she deposited an additional $44.5. How much money did Laura deposit in total over those two days?

Llama 3 8B:

Reasoning: Laura deposited $23 on Monday.
She deposited an additional $44.5 on Tuesday.
To find the total amount deposited, we add the two amounts together: $23 + $44.5 = <<23+44.5=67.5>>67.5.
### Answer: 67.5

Expected answer: 67.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After depositing a total of $23 + $44.5 over two days, Laura decided to take out $9 for lunch. How much money does she have left in her account now?

Llama 3 8B:

Reasoning: Laura had a total of $23 + $44.5 = $67.5 in her account.
She took out $9 for lunch, so we subtract $9 from the total amount: $67.5 - $9 = <<67.5-9=58.5>>58.5.
### Answer: 58.5

Expected answer: 58.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Consider that initially, instead of depositing $23, Laura had only deposited $4 to her bank account on Monday, but still went ahead to deposit an additional $44.5 on Tuesday. How much money did she deposit in total over those two days?

Llama 3 8B:

Reasoning: Laura initially deposited $4 on Monday.
She then deposited an additional $44.5 on Tuesday.
To find the total amount deposited, we add the two amounts together: $4 + $44.5 = <<4+44.5=48.5>>48.5.
### Answer: 48.5

Expected answer: 48.5000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Peter has 11 dimes in his pocket. If each dime is worth $1, how much money does Peter have in total?

Llama 3 8B:

Reasoning: Peter has 11 dimes, and each dime is worth $1. To find the total amount of money, we multiply the number of dimes by the value of each dime: 11 x $1 = $11.

### Answer: $11

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

Problem: Instead of having 11 dimes in his pocket, Peter actually has 11 dozen dimes. If each dime is worth $1, how much money does Peter now have in total?

Llama 3 8B:

Reasoning: Peter has 11 dozen dimes, which is equal to 11 x 12 = 132 dimes. Since each dime is worth $1, the total amount of money is the number of dimes multiplied by the value of each dime: 132 x $1 = $132.

### Answer: $132

Expected answer: 132

Correct? Yes

๐Ÿ”— Problem

Problem: John has saved $43.36 each week for 13 weeks. How much money has he saved in total?

Llama 3 8B:

Reasoning: John has saved $43.36 each week for 13 weeks, so we multiply the amount he saves each week by the number of weeks he has saved:

$43.36 x 13 = <<$43.36 x 13=562.68>>562.68

### Answer: $562.68

Expected answer: 563.680000000000

Correct? No

๐Ÿ”— Problem

Problem: Jenna has 29 quarters in her piggy bank. If each quarter is worth 3.0 dimes, what is the total amount of money Jenna has in her piggy bank in terms of dimes?

Llama 3 8B:

Reasoning: Since each quarter is worth 3.0 dimes, Jenna has a total of 29 x 3.0 = <<29 x 3.0=87>>87 dimes.
### Answer: 87

Expected answer: 87.0000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Peter divided his $85 among 5 of his friends. How much money did each friend receive?

Llama 3 8B:

Reasoning: To find out how much money each friend received, we need to divide the total amount of money ($85) by the number of friends (5).

$85 รท 5 = $17

Each friend received $17.

### Answer: $17

Expected answer: 17

Correct? Yes

๐Ÿ”— Problem

Problem: Mandy has saved up $29.7 from her part-time job. Her father gave her an additional $12.6. How much money does she have in total now?

Llama 3 8B:

Reasoning: Mandy initially had $29.7.
Her father gave her an additional $12.6.
To find the total amount of money Mandy has now, we add the initial amount and the additional amount: $29.7 + $12.6 = <<29.7+12.6=42.3>>42.3.
### Answer: 42.3

Expected answer: 42.3000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Mandy decided to buy a book that cost $19.79. How much money does she have left after buying the book?

Llama 3 8B:

Reasoning: Mandy had $42.3 initially.
She spent $19.79 on the book.
To find the amount of money Mandy has left, we subtract the cost of the book from the initial amount: $42.3 - $19.79 = <<42.3-19.79=22.51>>22.51.
### Answer: 22.51

Expected answer: 22.5100000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Mandy's father decided to be more generous and instead gave her $31. How much money would she have in total then?

Llama 3 8B:

Reasoning: Mandy initially had $42.3.
Her father gave her an additional $31.
To find the total amount of money Mandy has now, we add the initial amount and the additional amount: $42.3 + $31 = <<42.3+31=73.3>>73.3.
### Answer: 73.3

Expected answer: 60.7000000000000

Correct? No

๐Ÿ”— Problem

Problem: John has 46 dollars in his savings account. His grandmother gave him 6.57 dollars for completing some chores around her house. How much money does John have now?

Llama 3 8B:

Reasoning: John initially had 46 dollars in his savings account.
He received 6.57 dollars from his grandmother as a gift.
To find the total amount of money John has now, we add the initial amount to the amount he received: 46 + 6.57 = <<46+6.57=52.57>>52.57 dollars.
### Answer: 52.57

Expected answer: 52.5700000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John used 38 dollars out of his total savings to purchase a new video game. How much money does John now have left in his savings?

Llama 3 8B:

Reasoning: John initially had 52.57 dollars in his savings account.
He used 38 dollars to purchase a new video game, leaving him with the remaining amount: 52.57 - 38 = <<52.57-38=14.57>>14.57 dollars.
### Answer: 14.57

Expected answer: 14.5700000000000

Correct? Yes

๐Ÿ”— Problem

Problem: If a bakery makes 10 loaves of bread every hour and the oven is working continuously for 36 hours, how many loaves of bread are made?

Llama 3 8B:

Reasoning: The bakery makes 10 loaves of bread every hour. Since the oven is working continuously for 36 hours, the total number of loaves made is the product of the number of loaves made per hour and the number of hours worked.

10 loaves/hour ร— 36 hours = 360 loaves

### Answer: 360

Expected answer: 360

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous situation, where the bakery made 10 loaves of bread every hour for continuous 36 hours, if they decided to donate 45 loaves to a local food bank, how many loaves of bread would they have left?

Llama 3 8B:

Reasoning: The bakery made a total of 360 loaves of bread (as calculated earlier). If they donate 45 loaves to the food bank, they will be left with:

360 loaves - 45 loaves = 315 loaves

### Answer: 315

Expected answer: 315

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the earlier situation, where the bakery made loaves of bread continuously for 36 hours and each hour they created 10 loaves, what if they improved their efficiency such that they now made 21 loaves every hour? How many loaves of bread would they produce in 36 hours with this increased efficiency?

Llama 3 8B:

Reasoning: The bakery now makes 21 loaves of bread every hour, and they work continuously for 36 hours. To find the total number of loaves made, we multiply the number of loaves made per hour by the number of hours worked:

21 loaves/hour ร— 36 hours = 756 loaves

### Answer: 756

Expected answer: 756

Correct? Yes

๐Ÿ”— Problem

Problem: John has saved up $30.02 in his piggy bank. His grandmother gave him $38.9 for his birthday. How much money does he have now in total?

Llama 3 8B:

Reasoning: John initially had $30.02 in his piggy bank.
His grandmother gave him $38.90, which is added to the initial amount.
To find the total amount, we add the initial amount and the amount given by his grandmother: $30.02 + $38.90 = <<$30.02 + $38.90=68.92>>.
### Answer: $68.92

Expected answer: 68.9200000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John has saved up $30.02 in his piggy bank. His grandmother gave him $38.9 for his birthday, so now he has a certain amount of money. If he manages to save up six times the amount he has now, how much money will he have in total?

Llama 3 8B:

Reasoning: John initially had $30.02 in his piggy bank.
His grandmother gave him $38.90, which is added to the initial amount.
Now, John has $30.02 + $38.90 = $68.92.
If he saves up six times the amount he has now, he will save up 6 x $68.92 = $413.52.
Adding this to the current amount, John will have $68.92 + $413.52 = <<$68.92 + $413.52=482.44>>.
### Answer: $482.44

Expected answer: 413.520000000000

Correct? No

๐Ÿ”— Follow-up

Problem: John originally had $30.02 saved up in his piggy bank, but instead of his grandmother giving him $38.9 for his birthday, she gave him $13. How much money does John have now in his piggy bank?

Llama 3 8B:

Reasoning: John initially had $30.02 in his piggy bank.
His grandmother gave him $13, which is added to the initial amount.
To find the total amount, we add the initial amount and the amount given by his grandmother: $30.02 + $13 = <<$30.02 + $13=43.02>>.
### Answer: $43.02

Expected answer: 43.0200000000000

Correct? Yes

๐Ÿ”— Problem

Problem: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, what will be your total travel distance?

Llama 3 8B:

Reasoning: You have already traveled 23.0 kilometers. If you continue for another 17.2 kilometers, you will have traveled a total of 23.0 + 17.2 = <<23.0+17.2=40.2>>40.2 kilometers.

### Answer: 40.2

Expected answer: 40.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, what will be your total travel distance? Afterward, if you have a 48.2-kilometer course to finish, how many more kilometers do you need to travel to complete the course?

Llama 3 8B:

Reasoning: You have already traveled 23.0 kilometers. If you continue for another 17.2 kilometers, you will have traveled a total of 23.0 + 17.2 = <<23.0+17.2=40.2>>40.2 kilometers.

Afterward, you need to travel 48.2 - 40.2 = <<48.2-40.2=8.0>>8.0 kilometers to complete the course.

### Answer: 8.0

Expected answer: 8.00000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: You already finished a 23.0-kilometer route. What if instead you had a longer route that was 48 kilometers before added to your already traveled distance of 23 kilometers, what would your total travel distance have been in that scenario?

Llama 3 8B:

Reasoning: You have already traveled 23.0 kilometers. If you continue for another 48 kilometers, you will have traveled a total of 23.0 + 48 = <<23.0+48=71.0>>71.0 kilometers.

### Answer: 71.0

Expected answer: 71.0000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Bob is driving a car at a speed of 8.0 miles per hour. If he drives for 3.9 hours, how many miles will he have driven?

Llama 3 8B:

Reasoning: To find the distance traveled, we multiply the speed by the time. In this case, the speed is 8.0 miles per hour, and the time is 3.9 hours.
Distance = Speed x Time = 8.0 miles/hour x 3.9 hours = 31.2 miles
### Answer: 31.2

Expected answer: 31.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Bob is driving a car at a speed of 8.0 miles per hour. If he drives for 3.9 hours, he will have driven a certain number of miles. After driving for a while, he stops for a break, during which his car cools down by 21 miles of equivalent energy consumption. What's the equivalent distance for the energy remaining in his car?

Llama 3 8B:

Reasoning: Bob has driven a total distance of 31.2 miles (as calculated earlier). After driving, his car cools down by 21 miles of equivalent energy consumption. This means that the energy remaining in his car is equivalent to the distance he has driven minus the distance cooled down.
Energy remaining = Distance driven - Distance cooled down = 31.2 miles - 21 miles = 10.2 miles
### Answer: 10.2

Expected answer: 10.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Initially, Bob was driving a car at a speed of 8.0 miles per hour for 3.9 hours. Now, consider that instead of driving for 3.9 hours, he drove for 26 hours. How many miles would he have driven then?

Llama 3 8B:

Reasoning: Since Bob's speed remains the same, we can multiply the new time (26 hours) by the same speed (8.0 miles per hour) to find the new distance traveled.
Distance = Speed x Time = 8.0 miles/hour x 26 hours = 208.0 miles
### Answer: 208.0

Expected answer: 208.000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: A train travels at a speed of 47.1 miles per hour. How far will it travel in 8 hours?

Llama 3 8B:

Reasoning: To find the distance traveled, we need to multiply the speed of the train by the time it travels. The formula for distance is:

Distance = Speed x Time

In this case, the speed is 47.1 miles per hour, and the time is 8 hours. Plugging in the values, we get:

Distance = 47.1 x 8

Distance = 376.8 miles

### Answer: 376.8

Expected answer: 376.800000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: After the train has travelled for 8 hours at a speed of 47.1 miles per hour, it suddenly has to take a detour that reduces the total distance travelled by 21.2 miles. What is the final distance travelled by the train?

Llama 3 8B:

Reasoning: We already calculated the total distance traveled by the train before the detour: 376.8 miles. The detour reduces this distance by 21.2 miles, so we subtract 21.2 from 376.8 to find the final distance traveled:

Final Distance = 376.8 - 21.2

Final Distance = 355.6 miles

### Answer: 355.6

Expected answer: 355.600000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: What if the train had to travel for 16 hours instead of 8 at the same speed of 47.1 miles per hour? How far would it travel then?

Llama 3 8B:

Reasoning: Since the speed remains the same, we can use the same formula:

Distance = Speed x Time

But this time, the time is 16 hours, not 8 hours. Plugging in the values, we get:

Distance = 47.1 x 16

Distance = 753.6 miles

### Answer: 753.6

Expected answer: 753.600000000000

Correct? Yes

๐Ÿ”— Problem

Problem: In a certain online video game, you start with 18 health points. An enemy hits you and you lose 3.4 health points. For every remaining health point, your character's strength level increases by a 46 points multiplier. How many strength levels will your character have after the enemy hit?

Llama 3 8B:

Reasoning: Initially, you have 18 health points.
After losing 3.4 health points, you have 18 - 3.4 = 14.6 health points.
For every remaining health point, your character's strength level increases by a 46 points multiplier.
So, for 14.6 health points, your character's strength level will increase by 14.6 * 46 = 672 points.
### Answer: 672

Expected answer: 671.600000000000

Correct? No

๐Ÿ”— Problem

Problem: John had $29.33 in his wallet. After spending $7.3 out of $37 he had in his bank account, he decided to put the remaining money from his bank account into his wallet. How much money did he have in his wallet then?

Llama 3 8B:

Reasoning: John had $29.33 in his wallet initially.
He spent $7.30 out of $37 from his bank account, so he has $37 - $7.30 = $29.70 left in his bank account.
He adds this remaining amount to his wallet, so he now has $29.33 + $29.70 = $59.03 in his wallet.
### Answer: 59.03

Expected answer: 59.0300000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John saw a sale on his favorite books and decided to buy 8 books using the money he had in his wallet. If each book cost the amount equal to the money he had in his wallet, how much did he spend on books?

Llama 3 8B:

Reasoning: John had $59.03 in his wallet.
Each book costs the same amount as the money he had in his wallet, which is $59.03.
He bought 8 books, so he spent 8 x $59.03 = $472.24 on books.
### Answer: 472.24

Expected answer: 472.240000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: John initially thought he had $29.33 in his wallet, but it turns out he only had $5. After spending $7.3 out of his $37 bank balance, he again added the remaining money from his bank account to his wallet. Now, how much money does he have in his wallet?

Llama 3 8B:

Reasoning: John initially had $5 in his wallet, not $29.33.
He spent $7.30 out of $37 from his bank account, so he has $37 - $7.30 = $29.70 left in his bank account.
He adds this remaining amount to his wallet, so he now has $5 + $29.70 = $34.70 in his wallet.
### Answer: 34.70

Expected answer: 34.7000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Jenny had $48.6 in her savings account. On her birthday, she received $26 more. After a few days, she spent $22 on a new book. How much money does Jenny have now in her savings account?

Llama 3 8B:

Reasoning: Jenny initially had $48.6 in her savings account.
She received $26 more, so she now has $48.6 + $26 = $74.6.
After spending $22 on a new book, she has $74.6 - $22 = $52.6 left.
### Answer: $52.6

Expected answer: 52.6000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Jenny later decided to purchase a video game for $42 from her savings account. How much money does she have left in her account after buying the video game?

Llama 3 8B:

Reasoning: Jenny had $52.6 in her savings account.
She spent $42 on a video game, so she now has $52.6 - $42 = $10.6 left.
### Answer: $10.6

Expected answer: 10.6000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: What if on Jenny's birthday she received $27 instead of $26 and then she still spent $22 on a new book. How much money does she have now in her savings account in that case?

Llama 3 8B:

Reasoning: Jenny initially had $48.6 in her savings account.
She received $27 more, so she now has $48.6 + $27 = $75.6.
After spending $22 on a new book, she has $75.6 - $22 = $53.6 left.
### Answer: $53.6

Expected answer: 53.6000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: A car travels 46.72 miles per hour. After 11.62 hours of driving, the car's gas tank indicates that an additional 41 miles can be covered before the gas runs out. How many miles can the car still travel in total?

Llama 3 8B:

Reasoning: The car has already traveled 46.72 * 11.62 = <<46.72*11.62=546.45>>546.45 miles.
The car can still travel an additional 41 miles before the gas runs out.
The total distance the car can still travel is 546.45 + 41 = <<546.45+41=587.45>>587.45 miles.
### Answer: 587.45

Expected answer: 583.886400000000

Correct? No

๐Ÿ”— Problem

Problem: Jerry has $23.7 in his bank account and his mom gives him an additional $7.56. After buying a snack for $4.5, how much money does Jerry have left in his account?

Llama 3 8B:

Reasoning: Jerry initially has $23.7 in his account. His mom gives him an additional $7.56, so he now has $23.7 + $7.56 = $31.26.
After buying a snack for $4.5, Jerry has $31.26 - $4.5 = $26.76 left in his account.
### Answer: $26.76

Expected answer: 26.7600000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Using the money left in Jerry's bank account after buying a snack, he decides to buy a book. If the book costs $36, how much more money does he need to buy the book?

Llama 3 8B:

Reasoning: Jerry has $26.76 left in his account. The book costs $36, so he needs $36 - $26.76 = $9.24 more to buy the book.
### Answer: $9.24

Expected answer: 9.24000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous situation, suppose Jerry had initially $19 in his bank account instead of $23.7. After his mom gives him $7.56 and he buys a snack for $4.5, how much money does he have left in his bank account now?

Llama 3 8B:

Reasoning: Jerry initially has $19 in his account. His mom gives him an additional $7.56, so he now has $19 + $7.56 = $26.56.
After buying a snack for $4.5, Jerry has $26.56 - $4.5 = $22.06 left in his account.
### Answer: $22.06

Expected answer: 22.0600000000000

Correct? Yes

๐Ÿ”— Problem

Problem: You found 3 rare coins at your grandmother's house. Each coin can be sold for 10 dollars. After selling them, you pay 5.1 dollars for auction fees. How much money do you have left after paying the auction fees?

Llama 3 8B:

Reasoning: You found 3 rare coins, each worth 10 dollars, so you have a total of 3 x 10 = 30 dollars.
After paying 5.1 dollars for auction fees, you have 30 - 5.1 = 24.9 dollars left.
### Answer: 24.9

Expected answer: 24.9000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous scenario, you discovered that you'd actually found 25 of these rare coins in your grandmother's house, not just 3. Each coin can still be sold for 10 dollars and the auction fees remain at 5.1 dollars. How much money will you have left after paying the auction fees?

Llama 3 8B:

Reasoning: You found 25 rare coins, each worth 10 dollars, so you have a total of 25 x 10 = 250 dollars.
After paying 5.1 dollars for auction fees, you have 250 - 5.1 = 244.9 dollars left.
### Answer: 244.9

Expected answer: 244.900000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Maria saved $20 last week. This week, she saved an additional $22.88. How much money has Maria saved in total?

Llama 3 8B:

Reasoning: Maria saved $20 last week.
Maria saved an additional $22.88 this week.
To find the total amount saved, we add the two amounts together: $20 + $22.88 = <<$20 + $22.88=42.88>>42.88.
### Answer: 42.88

Expected answer: 42.8800000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous problem, Maria saved $20 last week. Instead of saving an additional $22.88 this week, she was only able to save $17. Now, how much money has Maria saved in total?

Llama 3 8B:

Reasoning: Maria saved $20 last week.
Maria saved an additional $17 this week.
To find the total amount saved, we add the two amounts together: $20 + $17 = <<$20 + $17=37>>37.
### Answer: 37

Expected answer: 37

Correct? Yes

๐Ÿ”— Problem

Problem: Jake has stopped into a boutique where shirts are priced at $33 each. He buys 2.4 times this amount in clothing. How much did he spend?

Llama 3 8B:

Reasoning: Jake buys 2.4 times the amount of shirts, which is 2.4 x 33 = <<2.4*33=79.2>>79.2.
### Answer: 79.2

Expected answer: 79.2000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Jake has stopped into a boutique where shirts are priced at $33 each. He buys 2.4 times this amount in clothing. Adding to that, Jake also found a hat he liked for $19.53. How much did he spend in total?

Llama 3 8B:

Reasoning: Jake buys 2.4 times the amount of shirts, which is 2.4 x 33 = <<2.4*33=79.2>>79.2.
Adding the cost of the hat, Jake spent 79.2 + 19.53 = <<79.2+19.53=98.73>>98.73.
### Answer: 98.73

Expected answer: 98.7300000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the previous scenario, Jake bought 2.4 times the amount of clothing priced at $33 each. This time, however, the shirts are priced at $45 each. If Jake still buys 2.4 times this amount in clothing, how much will he spend now?

Llama 3 8B:

Reasoning: Jake buys 2.4 times the amount of shirts, which is 2.4 x 45 = <<2.4*45=108>>108.
### Answer: 108

Expected answer: 108.000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Sarah has $36.4 in her savings account. She earns $19.0 by helping her neighbor with gardening. After adding this money to her account, she receives a surprise gift of $25 from her grandmother. How much money does she have now?

Llama 3 8B:

Reasoning: Sarah initially has $36.4 in her savings account.
She earns $19.0 by helping her neighbor, so she adds this to her account: $36.4 + $19.0 = $55.4.
Then, she receives a surprise gift of $25 from her grandmother, so she adds this to her account: $55.4 + $25 = $80.4.
### Answer: $80.4

Expected answer: 80.4000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose Sarah initially had $36.4 instead of $19.0 in her savings account. After her neighbor gave her an additional $19.0 for her help in the garden, and her grandmother gifted her $36, how much money does she now have in her account?

Llama 3 8B:

Reasoning: Sarah initially has $36.4 in her savings account.
Her neighbor gives her an additional $19.0, so she adds this to her account: $36.4 + $19.0 = $55.4.
Then, her grandmother gifts her $36, so she adds this to her account: $55.4 + $36 = $91.4.
### Answer: $91.4

Expected answer: 91.4000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Jenny has saved $18 in her piggy bank and found another $40.44 under her bed. She also earned $48 from selling lemonade during summer. How much money does Jenny have in total?

Llama 3 8B:

Reasoning: Jenny initially had $18 in her piggy bank.
She found another $40.44 under her bed, so she now has $18 + $40.44 = $58.44.
She earned $48 from selling lemonade, so she now has $58.44 + $48 = $106.44.
### Answer: $106.44

Expected answer: 106.440000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Jenny realized that she actually found $49 under her bed instead of $40.44. Keeping in mind that she still has saved $18 in her piggy bank and earned $48 from selling lemonade during summer, how much money does Jenny now have in total?

Llama 3 8B:

Reasoning: Jenny initially had $18 in her piggy bank.
She found another $49 under her bed, so she now has $18 + $49 = $67.
She earned $48 from selling lemonade, so she now has $67 + $48 = $115.
### Answer: $115

Expected answer: 115

Correct? Yes

๐Ÿ”— Problem

Problem: Sarah has earned $38 per day over her first job. After several months, she managed to save up $24.71 for every $1 she earned. Additionally, she has $11.6 in her piggy bank from before she started working. How much money does she have in total?

Llama 3 8B:

Reasoning: Sarah earned $38 per day. Let's calculate the total amount she earned: $38/day * number of days = total amount earned.
Since we don't know the exact number of days, let's convert the amount she saved to a fraction of her total earnings: $24.71 / $38 = 0.6487 (approximately).
This means she saved 64.87% of her total earnings. Let's calculate her total earnings: $38 * x = total earnings, where x is the number of days.
We know she saved $24.71 for every $1 she earned, so her total savings is: $24.71 * 0.6487 = $16.03 (approximately).
Adding her total savings to her initial $11.60, we get: $16.03 + $11.60 = $27.63.
### Answer: $27.63

Expected answer: 950.580000000000

Correct? No

๐Ÿ”— Problem

Problem: A car travels at a constant speed of 41.8 miles per hour for 23 hours. How many miles did the car travel?

Llama 3 8B:

Reasoning: The car travels at a constant speed of 41.8 miles per hour. To find the total distance traveled, we multiply the speed by the time: 41.8 miles/hour * 23 hours = 962.4 miles.
### Answer: 962.4

Expected answer: 961.400000000000

Correct? No

๐Ÿ”— Problem

Problem: A farmer has a cow that produces 35.7 liters of milk every day. How much milk does the cow produce in 28 days?

Llama 3 8B:

Reasoning: The cow produces 35.7 liters of milk every day. To find the total amount of milk produced in 28 days, we multiply the daily production by the number of days:

35.7 liters/day ร— 28 days = 998.6 liters

### Answer: 998.6 liters

Expected answer: 999.600000000000

Correct? No

๐Ÿ”— Problem

Problem: Mason had saved up $34 from his previous week's allowance. This week, he earned an extra $31.4 by doing some extra house chores. How much money does Mason have now in total?

Llama 3 8B:

Reasoning: Mason had $34 initially.
He earned an extra $31.4.
To find the total amount of money Mason has now, we add the initial amount and the extra amount: $34 + $31.4 = <<34+31.4=65.4>>65.4.
### Answer: 65.4

Expected answer: 65.4000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Mason had saved up $34 from his previous week's allowance. This week, he earned an extra $31.4 by doing some extra house chores. After counting this, his grandma gave him another $27.4 as a gift. How much money does Mason have now in total?

Llama 3 8B:

Reasoning: Mason had $34 initially.
He earned an extra $31.4.
So, he had $34 + $31.4 = <<34+31.4=65.4>>65.4.
Then, his grandma gave him an extra $27.4.
To find the total amount of money Mason has now, we add the previous total and the extra gift: $65.4 + $27.4 = <<65.4+27.4=92.8>>92.8.
### Answer: 92.8

Expected answer: 92.8000000000000

Correct? Yes

๐Ÿ”— Problem

Problem: Rachel had 48 dollars. She spent 5.5 dollars on a new toy. How much money does Rachel have left?

Llama 3 8B:

Reasoning: Rachel had 48 dollars initially.
She spent 5.5 dollars on a new toy, so we subtract 5.5 from 48 to find out how much money she has left.
48 - 5.5 = 42.5
### Answer: 42.5

Expected answer: 42.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following her purchase, Rachel's mom gave her an additional 23 dollars. How much money does Rachel now have?

Llama 3 8B:

Reasoning: Rachel had 42.5 dollars left after spending 5.5 dollars.
Her mom gave her an additional 23 dollars, so we add 23 to 42.5 to find out how much money Rachel now has.
42.5 + 23 = 65.5
### Answer: 65.5

Expected answer: 65.5000000000000

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the toy that Rachel bought originally cost 45 dollars instead of 5.5 dollars, how much money would Rachel have left after her purchase?

Llama 3 8B:

Reasoning: Rachel had 48 dollars initially.
She spent 45 dollars on a new toy, so we subtract 45 from 48 to find out how much money she has left.
48 - 45 = 3
### Answer: 3

Expected answer: 3

Correct? Yes

๐Ÿ”— Problem

Problem: A cyclist travels 506 kilometers in 11 days. How many kilometers does the cyclist travel each day?

Llama 3 8B:

Reasoning: To find the distance traveled each day, we can divide the total distance traveled (506 km) by the number of days (11 days).

506 km รท 11 days = 46 km/day

### Answer: 46 km/day

Expected answer: 46

Correct? Yes