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 70B:

Reasoning: Maria drove at an average speed of 11.0 miles per hour for 19 hours, so she covered a distance of 11.0 x 19 = 209.0 miles.

After that, she drove another 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

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 70B:

Reasoning: John started with $3. He multiplied his money by 17, so he now has $3 × 17 = $51.
### Answer: $51

Expected answer: 51

Correct? Yes

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 70B:

Let's recalculate:

Initially, I have $24.49 in my wallet.
I found a $23 bill on the street, so I now have $24.49 + $23 = $47.49 in my wallet.
Then, I receive $47 from my parent, so I now have $47.49 + $47 = $94.49 in my wallet.
I already have $25.93 in my savings account, so I need to add this to the total amount I have in my wallet: $94.49 + $25.93 = $120.42.

### Answer: $120.42

Expected answer: 120.420000000000

Correct? Yes

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 70B:

Reasoning: Danny already had $57 after receiving the $8 from his grandpa. He then found $45 more, so we need to add $45 to his current amount.
$57 + $45 = $102
### Answer: $102

Expected answer: 102

Correct? Yes

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 70B:

Reasoning: Danny initially had $49. He received $17 as a gift, so we need to add $17 to his initial amount. 
$49 + $17 = $66
### Answer: $66

Expected answer: 66

Correct? Yes

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 70B:

Reasoning: To find out how much the car is falling short of the fuel efficiency standard, we need to subtract the actual miles per gallon from the standard miles per gallon.

Shortfall = Standard miles per gallon - Actual miles per gallon
= 27 miles per gallon - 17.79 miles per gallon
= 9.21 miles per gallon

### Answer: 9.21 miles per gallon

Expected answer: 9.21000000000000

Correct? Yes

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 70B:

Reasoning: If the car initially had 49 gallons of fuel and still traveled 775.644 miles, we can recalculate the miles per gallon as follows:

Miles per gallon = Total distance ÷ Total fuel consumed
= 775.644 miles ÷ 49 gallons
= 15.81 miles per gallon (approximately)

### Answer: 15.81 miles per gallon

Expected answer: 15.8294693877551

Correct? Yes

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 70B:

Let's work through the problem again:

1. Eva extends her garden by 22.6 meters, so the new length of her garden is 16 + 22.6 = 38.6 meters.
2. The problem states that the new length is equal to the width of the original garden times the total length after the extension. This means we can set up the equation:

38.6 = 16 × x

where x is the new total length. Solving for x, we get:

x = 38.6 / 16 = 2.4125 × 16 = 38.6 meters

So, the new total length is still 38.6 meters.

3. The total area of the garden is the product of the width and the length:

Area = width × length = 16 × 38.6 = 617.6 square meters

### Answer: 617.6

Expected answer: 617.600000000000

Correct? Yes

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 70B:

Reasoning: The cyclist had to travel 41 miles each day for 19 days, so the total distance he had to travel is 41 x 19 = 779 miles.
He also received a bonus of 38 miles, so the total distance he had to travel for that race is 779 + 38 = 817 miles.
### Answer: 817

Expected answer: 817

Correct? Yes

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 70B:

Reasoning: We already know that Bob drives 36.6 miles for his trips to the grocery store.
He also drives an extra 36 miles each week to visit his grandmother.
So, the total miles driven by Bob every week is 36.6 + 36 = 72.6 miles.
### Answer: 72.6

Expected answer: 72.6000000000000

Correct? Yes

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 70B:

Reasoning: The total trip (going and coming back) is the summation of his distance to his grandmother's house and back home, so it is 2 x 36 = 72 miles.
If he makes this trip 3 times a week, he travels 3 x 72 = 216 miles in total.
### Answer: 216

Expected answer: 216.000000000000

Correct? Yes

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 70B:

Reasoning: To find out how much money you will spend each day, we need to divide the total amount of money ($863.2) by the new number of days (47).

$863.2 ÷ 47 = $18.36

### Answer: $18.36

Expected answer: 18.3659574468085

Correct? Yes

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

Llama 3 70B:

Reasoning: Maria had $52.5 left after spending money on gifts for her siblings.

She then found an old wallet containing $38, so she now has a total of $52.5 + $38 = $90.5.

### Answer: $90.5

Expected answer: 90.5000000000000

Correct? Yes

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 70B:

Reasoning: I earned $13 from my job, and I had individual donations amounting to $7. To find out how much money I had after subtracting the total amount of my donations, I will subtract $7 from $13.

$13 - $7 = $6

### Answer: $6

Expected answer: 6

Correct? Yes

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 70B:

Reasoning: If I work for 1 hour, I will earn $4 per hour multiplied by 1 hour, which is $4 × 1 = $4.

### Answer: $4

Expected answer: 4

Correct? Yes

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 70B:

Reasoning: We already found that the vehicle travels 24.52 miles per gallon. To find the square of this number, we need to multiply it by itself.

Square of miles per gallon = (24.52 miles/gallon) × (24.52 miles/gallon)
= 599.4104

### Answer: 599.41

Expected answer: 601.230400000000

Correct? No

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 70B:

Reasoning: To find the number of miles the vehicle travels per gallon of gas, we need to divide the total number of miles traveled by the new total number of gallons used.

Miles per gallon = Total miles traveled ÷ Total gallons used
= 367.8 miles ÷ 20 gallons
= 18.39 miles per gallon

### Answer: 18.39 miles per gallon

Expected answer: 18.3900000000000

Correct? Yes

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 70B:

Reasoning: John had $38.9 in cash and he deposited it into his bank account, which already had $31.4. To find the total amount in his bank account, we add the two amounts together: $38.9 + $31.4 = $70.3.

### Answer: $70.3

Expected answer: 70.3000000000000

Correct? Yes

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 70B:

Reasoning: We already know that the drone travels 187.2 km in 24 hours (from the previous problem). If it continues to fly an additional 31 km, we can add this distance to the total distance traveled.

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

### Answer: 218.2 km

Expected answer: 218.200000000000

Correct? Yes

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 70B:

Reasoning: Since the drone flies at a constant speed of 7.8 km per hour, we can multiply the speed by the number of hours it flies to find the total distance traveled.

Distance = Speed x Time
= 7.8 km/h x 30 h
= 234 km

### Answer: 234 km

Expected answer: 234.000000000000

Correct? Yes

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 70B:

Reasoning: Emily already had $25.12. Her grandmother gave her an additional $1.53. To find the total amount of money Emily now has, we add the two amounts together: $25.12 + $1.53 = $26.65.

### Answer: $26.65

Expected answer: 26.6500000000000

Correct? Yes

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 70B:

Reasoning: Emily initially had $9.12. Her mother gave her an additional $47.00. To find the total amount of money Emily now has, we add the two amounts together: $9.12 + $47.00 = $56.12.

### Answer: $56.12

Expected answer: 56.1200000000000

Correct? Yes

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 70B:

Reasoning: To find out how much money John has left after spending $8, we need to subtract the amount he spent from the initial amount he had.

Initial amount = $37.3
Amount spent = $8

Subtracting the amount spent from the initial amount, we get:
$37.3 - $8 = $29.3

Later, his grandmother gives him $12.0 for his birthday. To find out how much money John has now, we add the amount his grandmother gave him to the amount he had left after spending $8.

Amount left after spending = $29.3
Amount given by grandmother = $12.0

Adding the two amounts, we get:
$29.3 + $12.0 = $41.3

### Answer: $41.3

Expected answer: 41.3000000000000

Correct? Yes

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 70B:

Reasoning: To find out how much money John has left, we need to subtract the amount he spent from the initial amount he had.

Initial amount = $40
Amount spent = $8

Subtracting the amount spent from the initial amount, we get:
$40 - $8 = $32

### Answer: $32

Expected answer: 32

Correct? Yes

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 70B:

Reasoning: Harrison originally had $43 in his account. His relatives gave him a gift of $38.32 more than the original amount he had, which is $43 + $38.32 = $81.32. So, the total amount Harrison has now is the original amount plus the gift, which is $43 + $81.32 = $124.32.

### Answer: $124.32

Expected answer: 124.320000000000

Correct? Yes

Problem: In the relay race, let's reconsider the scenario. This time, instead of running 31 miles, Spike now ran 32 miles. Combining the distances that Tom ran (8.4 miles) and Jerry ran (43.4 miles), how many total miles did the team run now?

Llama 3 70B:

Reasoning: Tom ran 8.4 miles and Jerry ran 43.4 miles, so together they ran 8.4 + 43.4 = 51.8 miles.
Then, Spike ran 32 miles, so the total miles the team ran is 51.8 + 32 = 83.8 miles.
### Answer: 83.8

Expected answer: 83.8000000000000

Correct? Yes

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 70B:

Reasoning: Since David wants to save a total of 984.4 dollars, but he only has 28 dollars to begin with, he needs to save an additional amount to reach his goal. Let's find out how much more he needs to save:

984.4 - 28 = 956.4

This means David needs to save an additional 956.4 dollars over 23 weeks. To find out how much he needs to save each week, we'll divide the additional amount by the number of weeks:

956.4 ÷ 23 = 41.6

So, David would need to save 41.6 dollars each week for 23 weeks to reach his goal of saving 984.4 dollars.

### Answer: 41.6

Expected answer: 28/23

Correct? No

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 70B:

Reasoning: We already know that Zara saved $493 from her original plan. She then received an extra $31 from her grandma. To find the total amount she now has, we can add the extra amount to the amount she already saved: $493 + $31 = $524.

### Answer: $524.

Expected answer: 524

Correct? Yes

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 70B:

Reasoning: Zara saved $22 per week for 17 weeks. To find the total amount she saved, we can multiply the amount she saved per week by the number of weeks: $22/week × 17 weeks = $22 × 17 = $374.

### Answer: $374.

Expected answer: 374

Correct? Yes

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 70B:

Reasoning: Since Samuel wants to fill 43 barrels with the same quantity of paint as before, which is 22 liters per barrel, we can multiply the number of barrels by the quantity of paint per barrel to find the total amount of paint needed.

43 barrels × 22 liters/barrel = 43 × 22 = 946 liters

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

### Answer: 946

Expected answer: 946

Correct? Yes

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 70B:

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

176 ÷ 29 = 6.07 (approximately)

So, there would be approximately 6 liters of paint in each barrel.

### Answer: 6.07

Expected answer: 176/29

Correct? No

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 70B:

Reasoning: Mark paid $492 for the shirts.
He also paid $6.62 for the tie.
The total amount Mark spent is $492 + $6.62 = $498.62.
### Answer: $498.62.

Expected answer: 498.620000000000

Correct? Yes

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 70B:

Reasoning: The total cost of the shirts before the discount is 39 x $17 = $663.
Mark got a $1 discount on the total cost, so he paid $663 - $1 = $662.
### Answer: $662.

Expected answer: 662

Correct? Yes

Problem: After Sarah's purchase of books and the magazine, she decided to buy a board game which costs $30.3. What is the final total cost of Sarah's purchases?

Llama 3 70B:

Reasoning: The total cost of Sarah's initial purchase is $260.91.
The cost of the board game is $30.30.
The final total cost of Sarah's purchases is $260.91 + $30.30 = $291.21.
### Answer: $291.21

Expected answer: 291.210000000000

Correct? Yes

Problem: Suppose that instead of the books costing $27.99 each, they actually cost $50 each. Now, how much will the total cost be for the 9 books and the magazine?

Llama 3 70B:

Reasoning: The total cost of the books is 9 x $50 = $450.
The total cost of Sarah's purchase is $450 + $9 = $459.
### Answer: $459

Expected answer: 459

Correct? Yes

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 70B:

Reasoning: Susan had 48 dollars initially. She spent 12.18 dollars on a new book, so we need to subtract that amount from her initial amount. To do this, we can convert 12.18 to a mixed number: 12 18/100 = 12 9/50. Now, we can subtract: 48 - 12 = 36, and then subtract the fraction: 36 - 9/50 = 35 41/50. Converting this back to a decimal, we get 35.82.
### Answer: 35.82

Expected answer: 35.8200000000000

Correct? Yes

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 70B:

Reasoning: Susan initially had 11 dollars in her purse. She found 6 dollars in her desk drawer, so she added that to her purse, making a total of 11 + 6 = 17 dollars. Then, she earned another 23 dollars from doing chores, so she now has 17 + 23 = 40 dollars.
### Answer: 40

Expected answer: 40

Correct? Yes

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 70B:

Reasoning: Susan had $1 left after spending $45 on a toy robot. Her mother gave her $46, which is the same amount she initially had. To find out how much money Susan has now, we need to add the amount her mother gave her to the amount she already had: $1 + $46 = $47.
### Answer: $47

Expected answer: 47

Correct? Yes

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 70B:

Reasoning: Susan had $46 initially. She spent $40 on a less expensive robot. To find out how much money she has left, we need to subtract the amount she spent from the initial amount: $46 - $40 = $6.
### Answer: $6

Expected answer: 6

Correct? Yes

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 70B:

Reasoning: Alex initially had $45 in his piggy bank. His grandma gave him $8 as a birthday gift. To find out how much Alex has now, we need to add the birthday money to the initial amount.

$45 + $8 = $53

### Answer: $53

Expected answer: 53

Correct? Yes

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

Llama 3 70B:

Reasoning: John had $45 in his account after receiving the additional $8 from his mother. He used $4 to pay for a bus ticket, so we need to subtract this amount from his total balance.

$45 (total balance) - $4 (bus ticket) = $41

### Answer: $41

Expected answer: 41

Correct? Yes

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 70B:

Reasoning: Jim had $45.79 in his savings account after adding his pocket money. He then deposited an additional $25.20 that he earned from helping his neighbor. To find the new total, we add the additional deposit to the current balance: $45.79 + $25.20 = $71.00.

### Answer: $71.00

Expected answer: 70.9900000000000

Correct? No

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 70B:

Reasoning: Jim initially had $29 in his savings account. He received an additional $2.20 as pocket money. To find the total amount of money he has now, we add the initial amount to the pocket money: $29 + $2.20 = $31.20.

### Answer: $31.20

Expected answer: 31.2000000000000

Correct? Yes

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 70B:

Reasoning: John initially had $36.92 in his wallet. He received an additional $6 from his grandmother. To find the total amount of money John has now, we need to add the initial amount to the additional amount.

$36.92 + $6 = $42.92

### Answer: $42.92

Expected answer: 42.9200000000000

Correct? Yes

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 70B:

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

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 70B:

Reasoning: Tom had $40.74 in his savings. He added $1 to his total savings, so he now has $40.74 + $1 = $41.74.
### Answer: $41.74

Expected answer: 41.7400000000000

Correct? Yes

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 70B:

Reasoning: Tom initially had $18.00 in his savings. He found $23.30 on the street, so he now has $18.00 + $23.30 = $41.30.
### Answer: $41.30

Expected answer: 41.3000000000000

Correct? Yes

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 70B:

Reasoning: We already found out that the car consumes 15 liters of gas per hour, so in 30 hours, it will consume:

15 liters/hour × 30 hours = 450 liters

However, due to the leak, it lost 46.33 liters of gas. To find out how many liters of gas remain, we subtract the amount lost from the total amount consumed:

450 liters - 46.33 liters = 403.67 liters

### Answer: 403.67

Expected answer: 403.670000000000

Correct? Yes

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 70B:

Reasoning: Let's first find out how many liters of gas the car consumes per hour. We can do this by dividing the total amount of gas consumed (615 liters) by the total time (23 hours).

615 liters ÷ 23 hours = 26.74 liters per hour (approximately)

Now, we can find out how many liters of gas the car will consume in 30 hours by multiplying the rate (26.74 liters per hour) by the time (30 hours).

26.74 liters/hour × 30 hours = 802.2 liters

### Answer: 802.2

Expected answer: 18450/23

Correct? No

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 70B:

Reasoning: To find the total amount of money Kaden has in his piggy bank, we need to add the corrected initial amount to the amount he added.

Initial amount = $13
Amount added = $30.3
Total amount = $13 + $30.3 = $43.3

### Answer: $43.3

Expected answer: 43.3000000000000

Correct? Yes

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 70B:

Reasoning: We already know that Joe has $8.9 left in his wallet after spending $34. To find out how much more money he needs to buy the toy, we need to subtract the amount he has from the price of the toy.

Let's subtract $8.9 from $35.44:

$35.44 - $8.9 = $26.54

### Answer: $26.54

Expected answer: 26.5400000000000

Correct? Yes

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 70B:

Reasoning: To find out how much money Joe has left, we need to subtract the amount he spent from the initial amount he had.

Let's subtract $34 from $43:

$43 - $34 = $9

### Answer: $9

Expected answer: 9

Correct? Yes

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 70B:

Reasoning: John initially had $35 in his wallet. He received an additional $8 from his friend, so we need to add this amount to the initial amount.

$35 + $8 = $43

### Answer: $43

Expected answer: 43

Correct? Yes

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 70B:

Reasoning: We already found that Lisa has a total of 30.3 + 5.9 = 36.2 acres of farmland. Since Mona has the same amount of land as Lisa, Mona also has 36.2 acres of farmland. To find the total land they have combined, we add their individual amounts:

36.2 (Lisa's land) + 36.2 (Mona's land) = 72.4

### Answer: 72.4

Expected answer: 72.4000000000000

Correct? Yes

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 70B:

Reasoning: John already had $41.17. He earned an additional $20.90 from mowing the lawn. To find the new total, we add the additional amount to the previous total: $41.17 + $20.90 = $62.07.
### Answer: $62.07

Expected answer: 62.0700000000000

Correct? Yes

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 70B:

Reasoning: John had 32 dollars initially. He spent 18 dollars on a book. To find out how much money he has left, we need to subtract the cost of the book from the initial amount of money he had.

32 - 18 = 14

### Answer: 14

Expected answer: 14

Correct? Yes

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 70B:

Reasoning: I started with $46. After buying a toy for $3, I had $46 - $3 = $43 left. Then, I was given $40, so I now have $43 + $40 = $83.
### Answer: $83.

Expected answer: 83

Correct? Yes

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 70B:

Reasoning: Sally ran 38.5 miles in the first week. If she increases her mileage by 41 miles in the second week, we need to add 41 to her previous distance. So, we add 41 to 38.5, which gives us 38.5 + 41 = 79.5 miles.
### Answer: 79.5

Expected answer: 79.5000000000000

Correct? Yes

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 70B:

Reasoning: The farmer initially spends $272.17 on the 17 bottles of pesticide. He then receives a discount coupon that allows him to save $26. To find the total amount he spends after applying the coupon, we can subtract the discount from the initial amount:

$272.17 - $26 = $246.17

### Answer: $246.17

Expected answer: 246.170000000000

Correct? Yes

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 70B:

Reasoning: The farmer is considering buying 17 bottles of the other pesticide, and each bottle costs $23. To find the total amount of money he would spend, we can multiply the number of bottles by the cost of each bottle:

17 bottles × $23/bottle = $23 × 17 = $391

### Answer: $391

Expected answer: 391

Correct? Yes

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 70B:

Reasoning: To find the total amount Jim spent, we need to add the amount he spent on groceries, the amount he spent on the shirt, and the amount he spent on the book.

First, let's convert the amounts to decimals: $28 = 28.00, $44.99 = 44.99, and $18.16 = 18.16

Now, we can add the three amounts together: 28.00 + 44.99 = 72.99 (amount spent on groceries and shirt)
72.99 + 18.16 = 91.15 (total amount spent)

### Answer: $91.15

Expected answer: 91.1500000000000

Correct? Yes

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 70B:

Reasoning: To find the total amount Jim spent on the second trip, we need to add the amount he spent on groceries and the amount he spent on the shirt.

The amount he spent on groceries is $28.
The amount he spent on the shirt is $41.

We can add these two amounts together: $28 + $41 = $69

### Answer: $69

Expected answer: 69

Correct? Yes

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 70B:

Reasoning: John initially had $31 in his savings account. His mom gave him an additional $3, so we need to add this amount to his initial balance.

$31 + $3 = $34

### Answer: $34

Expected answer: 34

Correct? Yes

Problem: Previously, John had $35.6 in his wallet and spent $32 on a chocolate bar. But what if instead, John had initially the same amount of money but decided to buy a different item that only cost $7. After these expenses, he received the same amount of $46.3 from his friend and $12.9 from his grandmother as in the previous situation. How much money does he have in his wallet in this scenario?

Llama 3 70B:

Reasoning: John initially had $35.6 in his wallet. After buying an item for $7, he had $35.6 - $7 = $28.6 left.

Then, his friend gave him $46.3, so he now had $28.6 + $46.3 = $74.9.

Later, his grandmother gave him an extra $12.9, so he now had $74.9 + $12.9 = $87.8.

### Answer: $87.8

Expected answer: 87.8000000000000

Correct? Yes

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 70B:

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

Total distance = 436.23179999999996 miles
Total gas used = 17 gallons

Average mileage = Total distance ÷ Total gas used
= 436.23179999999996 miles ÷ 17 gallons
= 25.66 miles per gallon

### Answer: 25.66 miles per gallon

Expected answer: 25.6606941176471

Correct? Yes

Problem: After running for 43 hours at a speed of 6.4 mph, Sammy finds that his GPS unit was not fully calibrated and may overstate his distance by about 10 miles. What would be the revised distance he traveled according to the GPS?

Llama 3 70B:

Reasoning: We already calculated the total distance traveled by Sammy: 275.2 miles. 
Since the GPS unit may overstate the distance by 10 miles, we need to subtract 10 miles from the total distance. 
Revised Distance = Total Distance - Overstated Distance 
Revised Distance = 275.2 miles - 10 miles 
Revised Distance = 265.2 miles 
### Answer: 265.2 miles

Expected answer: 265.200000000000

Correct? Yes

Problem: If Sammy had only run for 2 hours instead of 43 at a speed of 6.4 mph, how far would he have travelled?

Llama 3 70B:

Reasoning: To find the total distance traveled, we need to multiply the speed by the time. 
Distance = Speed x Time 
Distance = 6.4 mph x 2 hours 
Distance = 12.8 miles 
### Answer: 12.8 miles

Expected answer: 12.8000000000000

Correct? Yes

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 70B:

Reasoning: John started with 27 dollars. He spent 24 dollars on a video game, so we need to subtract 24 from 27 to find out how much money he has left.

27 - 24 = 3

However, this would mean John has 3 dollars left, but he can't have 3 dollars left because he doesn't have enough money to buy the video game in the first place. Since John spent 24 dollars, he would be 24 - 27 = -3 dollars, which means he would be in debt by 3 dollars.

### Answer: John would be in debt by 3 dollars.

Expected answer: 3

Correct? Yes

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 70B:

Reasoning: John has $45.30 and Jacob also has $45.30. To find the total amount of money they have together, we add their individual amounts.

$45.30 + $45.30 = $90.60

### Answer: $90.60

Expected answer: 90.6000000000000

Correct? Yes

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 70B:

Reasoning: To convert the amount of money Roger spent on lunch to the new currency, we need to multiply the amount he spent in dollars by the exchange rate.

Amount in new currency = Amount in dollars × Exchange rate
= $18.5 × 2.47
= $45.745

So, Roger's lunch would cost approximately $45.75 in the new currency.

### Answer: $45.75

Expected answer: 45.6950000000000

Correct? No

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 70B:

Reasoning: Let's recalculate the amount Roger spent on lunch using the correct initial amount.

Initial amount - Amount spent = Final amount
$45 - x = $28.5

To solve for x, we can subtract $28.5 from both sides of the equation:

x = $45 - $28.5
x = $16.5

So, Roger actually spent $16.5 on lunch.

### Answer: $16.5

Expected answer: 16.5000000000000

Correct? Yes

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 70B:

Reasoning: Jack already has $29. His grandma gives him $30 more. To find the total amount of money Jack has now, we add the two amounts together: $29 + $30 = $59.
### Answer: $59

Expected answer: 59

Correct? Yes

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 70B:

Let's recalculate:

John had $18.40 initially.
He spent $9.00 on a candy bar, so he was left with:
$18.40 - $9.00 = $9.40

Then, his mom gave him $33.40, so he now had:
$9.40 + $33.40 = $42.80

Later, he spent $28.00 on a new video game, so he was left with:
$42.80 - $28.00 = $14.80

### Answer: $14.80

Expected answer: 14.8000000000000

Correct? Yes

Problem: Following the previous problem, Joseph also bought a VIP experience for each movie ticket, which adds $14.3 to the cost of each ticket. How much does each movie ticket now cost, including the VIP experience?

Llama 3 70B:

Reasoning: We already know that each movie ticket costs $18.49. The VIP experience adds $14.30 to the cost of each ticket. To find the new cost of each ticket, we add the cost of the VIP experience to the original cost of the ticket:

$18.49 + $14.30 = $32.79

So, each movie ticket now costs $32.79, including the VIP experience.

### Answer: $32.79

Expected answer: 32.7900000000000

Correct? Yes

Problem: In the previous problem, if Joseph had actually paid $721.11 for only 6 movie tickets, what would be the cost of each ticket then?

Llama 3 70B:

Reasoning: To find the cost of each movie ticket, we need to divide the total amount Joseph paid by the number of tickets he bought.

Let's divide $721.11 by 6:

$721.11 ÷ 6 = $120.185

Since we can't have a fraction of a cent, we'll round to two decimal places:

$120.185 ≈ $120.19

So, each movie ticket would cost $120.19.

### Answer: $120.19

Expected answer: 120.185000000000

Correct? Yes

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 70B:

Reasoning: We already know that the car traveled 172.8 km in 3.6 hours. Now, it travels an additional 30.0 km. To find the total distance traveled, we add the two distances.

Total Distance = Distance traveled in 3.6 hours + Additional distance
= 172.8 km + 30.0 km
= 202.8 km

### Answer: 202.8 km

Expected answer: 202.800000000000

Correct? Yes

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 70B:

Reasoning: To find the distance travelled, we can multiply the speed of the car by the time it has travelled. 

Distance = Speed x Time 
= 46 km/h x 3.6 h 
= 165.6 km 

### Answer: 165.6 km

Expected answer: 165.600000000000

Correct? Yes

Problem: Based on the previous problem where a cyclist pedaled a certain distance after a break, assume now the cyclist repeats the same cycle for 7 days. How much distance, in kilometers, does the cyclist cover after resuming from the break over these 7 days?

Llama 3 70B:

Reasoning: The cyclist covers a distance of 11.6 kilometers after resuming from the break each day.
To find the total distance covered after resuming from the break over 7 days, we multiply the daily distance by 7:
11.6 km/day × 7 days = 11.6 × 7 = 81.2 km
### Answer: 81.2 km

Expected answer: 81.2000000000000

Correct? Yes

Problem: Based on the previous problem, now assume that on each of these 7 days, the cyclist pedals for 50.0 kilometers total, but now takes a break after covering 40 kilometers. How much distance, in kilometers, does the cyclist cover after resuming from the break each day?

Llama 3 70B:

Reasoning: The cyclist pedals for 50.0 kilometers total each day.
The cyclist takes a break after covering 40 kilometers.
To find the distance covered after resuming from the break each day, we subtract the distance covered before the break from the total distance:
50.0 - 40 = 10 kilometers
### Answer: 10 kilometers

Expected answer: 10.0000000000000

Correct? Yes

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 70B:

Reasoning: To find the distance traveled in one hour, we need to divide the total distance traveled (67.66 miles) by the corrected total time taken (18 hours).

Distance per hour = Total distance ÷ Total time
= 67.66 miles ÷ 18 hours
= 3.76 miles per hour

### Answer: 3.76 miles per hour

Expected answer: 3.75888888888889

Correct? Yes

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 70B:

Reasoning: Maria starts with $19. She receives $28, so she now has $19 + $28 = $47.
After buying a book that costs $40, she will have $47 - $40 = $7 left.
### Answer: $7

Expected answer: 7

Correct? Yes

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 70B:

Reasoning: Mia had $41 initially. She earned an additional $24.7, so her total amount before buying the book is: $41 + $24.7 = $65.7. 
She then spent $38.6 on the book, so to find the amount of money she has left, we subtract the cost of the book from her total amount: $65.7 - $38.6 = $27.1.
### Answer: $27.1

Expected answer: 27.1000000000000

Correct? Yes

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 70B:

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

Expected answer: 59.7000000000000

Correct? Yes

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 70B:

Reasoning: Earlier, John spent a total of $43.
Each raffle ticket costs the same as the total amount of money he had spent earlier, which is $43.
John bought 20 raffle tickets, so he spent 20 x $43 = $860 on the raffle tickets.
### Answer: $860.

Expected answer: 860.000000000000

Correct? Yes

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 70B:

Reasoning: John spent $12 on lunch and $5 on dessert, so he spent a total of $12 + $5 = $17 on food.
Then, he spent $49 on a shirt, which is more expensive than the original $26 shirt.
To find the total amount John spent, we add the amount he spent on food and the amount he spent on the shirt: $17 + $49 = $66.
### Answer: $66.

Expected answer: 66

Correct? Yes

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 70B:

Reasoning: We already know that Laura deposited a total of $23 + $44.5 = $67.5 over two days.

Now, she takes out $9 for lunch, so we need to subtract $9 from the total amount she had: $67.5 - $9 = $58.5

### Answer: $58.5

Expected answer: 58.5000000000000

Correct? Yes

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 70B:

Reasoning: To find the total amount of money Laura deposited, we need to add the amounts she deposited on Monday and Tuesday.

On Monday, Laura deposited $4.
On Tuesday, she deposited $44.5.

To find the total, we add these amounts together: $4 + $44.5 = $48.5

### Answer: $48.5

Expected answer: 48.5000000000000

Correct? Yes

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

Llama 3 70B:

Reasoning: To find out how much money Mandy has left, we need to subtract the cost of the book from the total amount of money she had.

Let's subtract the cost of the book from the total amount:
$42.3 - $19.79 = $22.51

### Answer: $22.51

Expected answer: 22.5100000000000

Correct? Yes

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 70B:

Reasoning: To find the total amount of money Mandy has, we need to add the amount she saved up from her part-time job to the new amount her father gave her.

Let's add the two amounts together:
$29.7 + $31 = $60.7

### Answer: $60.7

Expected answer: 60.7000000000000

Correct? Yes

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 70B:

Reasoning: John had $52.57 in his savings account. He spent $38 on a new video game, so we need to subtract this amount from his total savings.

$52.57 - $38 = $14.57

### Answer: $14.57

Expected answer: 14.5700000000000

Correct? Yes

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 70B:

Reasoning: The bakery made a total of 360 loaves of bread. If they decided to donate 45 loaves to a local food bank, the number of loaves left is 360 - 45 = 315.
### Answer: 315

Expected answer: 315

Correct? Yes

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 70B:

Reasoning: With the increased efficiency, the bakery now makes 21 loaves of bread every hour. If the oven is working continuously for 36 hours, the total number of loaves made is 21 x 36 = 756.
### Answer: 756

Expected answer: 756

Correct? Yes

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 70B:

Reasoning: First, let's find out how much money John has now. We already calculated this in the previous problem:

$30.02 + $38.90 = $68.92

Now, John wants to save up six times this amount. To find six times $68.92, we can multiply:

6 × $68.92 = $413.52

To find the total amount of money John will have, we need to add the amount he already has to the amount he will save:

$68.92 + $413.52 = $482.44

### Answer: $482.44

Expected answer: 413.520000000000

Correct? No

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 70B:

Reasoning: To find the total amount of money John has, we need to add the amount he already had to the amount his grandmother gave him.

First, let's make sure we line up the decimal points correctly:

$30.02
+$13.00

Now, we can add the numbers:

$30.02 + $13.00 = $43.02

### Answer: $43.02

Expected answer: 43.0200000000000

Correct? Yes

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 70B:

Reasoning: To find the total travel distance, we need to add the distance already traveled to the additional distance.

Let's add the two distances:
23.0 km + 17.2 km = 40.2 km

Now, we need to find out how many more kilometers are needed to complete the 48.2-kilometer course. To do this, we subtract the total distance traveled so far from the total course distance:

48.2 km - 40.2 km = 8.0 km

### Answer: 8.0 km

Expected answer: 8.00000000000000

Correct? Yes

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 70B:

Reasoning: To find the total travel distance, we need to add the distance already traveled to the additional distance.

Let's add the two distances:
23.0 km + 48 km = 71 km

### Answer: 71 km

Expected answer: 71.0000000000000

Correct? Yes

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 70B:

Reasoning: First, we need to find the total distance driven by Bob. 
Distance = Speed x Time 
Distance = 8.0 miles/hour x 3.9 hours 
Distance = 8.0 x 3.9 
Distance = 31.2 miles 

The car cools down by 21 miles of equivalent energy consumption, so the equivalent distance for the energy remaining in his car is: 
Equivalent distance = Total distance - Energy consumption 
Equivalent distance = 31.2 miles - 21 miles 
Equivalent distance = 10.2 miles 
### Answer: 10.2 miles

Expected answer: 10.2000000000000

Correct? Yes

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 70B:

Reasoning: To find the total distance driven, we need to multiply the speed by the time. 
Distance = Speed x Time 
Distance = 8.0 miles/hour x 26 hours 
Distance = 8.0 x 26 
Distance = 208 miles 
### Answer: 208 miles

Expected answer: 208.000000000000

Correct? Yes

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 70B:

Reasoning: We already know the distance traveled by the train before the detour, which is 376.8 miles. The detour reduces the total distance traveled by 21.2 miles, so we subtract this from the original distance.

Final Distance = Original Distance - Distance Reduced
= 376.8 miles - 21.2 miles
= 355.6 miles

### Answer: 355.6 miles

Expected answer: 355.600000000000

Correct? Yes

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 70B:

Reasoning: To find the distance traveled, we can multiply the speed of the train by the time it travels. 

Distance = Speed × Time 
= 47.1 miles/hour × 16 hours 
= 752.6 miles 

### Answer: 752.6 miles

Expected answer: 753.600000000000

Correct? No

Problem: In the previous scenario of the same online video game, before obtaining the artifact, you originally started with 13 health points instead of 18. 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. What would have been the strength level of your character after the enemy hit, but before obtaining the artifact, if you had originally started with 13 health points?

Llama 3 70B:

Reasoning: After the enemy hits, you lose 3.4 health points, so you are left with 13 - 3.4 = 9.6 health points.
For every remaining health point, your character's strength level increases by a 46 points multiplier, so your character's strength level will be 9.6 x 46 = 441.6.
### Answer: 441.6

Expected answer: 441.600000000000

Correct? Yes

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 70B:

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

Expected answer: 472.240000000000

Correct? Yes

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 70B:

Reasoning: John had $37 in his bank account and spent $7.30, so he had $37 - $7.30 = $29.70 left in his bank account.
He then put this amount into his wallet, which initially had $5, so the total amount in his wallet is $5 + $29.70 = $34.70.
### Answer: $34.70

Expected answer: 34.7000000000000

Correct? Yes

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 70B:

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

Expected answer: 10.6000000000000

Correct? Yes

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 70B:

Reasoning: Jenny started with $48.6 in her savings account. On her birthday, she received $27 more, so she had $48.6 + $27 = $75.6. After spending $22 on a new book, she had $75.6 - $22 = $53.6.
### Answer: $53.6

Expected answer: 53.6000000000000

Correct? Yes

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 70B:

Reasoning: Jerry has $26.76 left in his account, and the book costs $36. To find out how much more money he needs, we subtract the amount he has from the cost of the book: $36 - $26.76 = $9.24.
### Answer: $9.24

Expected answer: 9.24000000000000

Correct? Yes

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 70B:

Reasoning: Jerry starts with $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

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 70B:

Reasoning: You have 25 coins, each worth $10, so you have a total of 25 x $10 = $250.
You pay $5.10 in auction fees, so you are left with $250 - $5.10 = $244.90.
### Answer: $244.90

Expected answer: 244.900000000000

Correct? Yes

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 70B:

Reasoning: Maria saved $20 last week and $17 this week. To find the total amount of money she has saved, we need to add these two amounts together.

$20 + $17 = $37

### Answer: $37

Expected answer: 37

Correct? Yes

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 70B:

Reasoning: Jake bought 2.4 times the price of one shirt, which is 2.4 x $33 = $79.20. 
He also bought a hat for $19.53. 
So, the total amount Jake spent is $79.20 + $19.53 = $98.73.
### Answer: $98.73

Expected answer: 98.7300000000000

Correct? Yes

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 70B:

Reasoning: Jake buys 2.4 times the price of one shirt, which is 2.4 x $45 = $108.
### Answer: $108

Expected answer: 108.000000000000

Correct? Yes

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 70B:

Reasoning: Sarah initially has $36.4 in her savings account. She earns $19.0 by helping her neighbor, so she now has $36.4 + $19.0 = $55.4. After receiving a surprise gift of $36 from her grandmother, she now has $55.4 + $36 = $91.4.

### Answer: $91.4

Expected answer: 91.4000000000000

Correct? Yes

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 70B:

Reasoning: First, let's add the money Jenny already had in her piggy bank and the corrected amount of money she found under her bed: $18 + $49 = $67.
Then, let's add the money she earned from selling lemonade: $67 + $48 = $115.
### Answer: $115

Expected answer: 115

Correct? Yes

Problem: If the car was only traveling for 12 hours instead of 23 hours, at the same speed of 41.8 miles per hour, how many miles would the car travel?

Llama 3 70B:

Reasoning: To find the total distance traveled, we need to multiply the speed of the car by the time it traveled. 

Distance = Speed × Time 
= 41.8 miles/hour × 12 hours 
= 501.6 miles 

### Answer: 501.6 miles

Expected answer: 501.600000000000

Correct? Yes

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 70B:

Reasoning: Mason had $34 initially. He earned an extra $31.4, so we need to add this amount to his initial savings.

$34 + $31.4 = $65.4

Then, his grandma gave him another $27.4 as a gift, so we need to add this amount to his total.

$65.4 + $27.4 = $92.8

### Answer: $92.8

Expected answer: 92.8000000000000

Correct? Yes

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

Llama 3 70B:

Reasoning: Rachel had 42.5 dollars left after buying the toy. Her mom gave her an additional 23 dollars, so we need to add 23 to 42.5 to find out how much money Rachel has now.

42.5 + 23 = 65.5

### Answer: 65.5

Expected answer: 65.5000000000000

Correct? Yes

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 70B:

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

48 - 45 = 3

### Answer: 3

Expected answer: 3

Correct? Yes