Reasoning and answer: Half the pet - owners have a cat because 1 - 1 / 2 = 1 / 2. There are 60 pet owners because 30 / (1 / 2) = 60. The town has 100 citizens because 60 / .6 = 100.
The answer: 100
What was the question?
Question: In a town where 60% of the citizens own a pet, half own a dog and 30 own a cat. How many citizens are in the town?


We let x be the amount of money she put in the bank the first year,. Then the second year was 2 * x,. and the third year was 2 * 2 * x = 4 * x,. and the fourth year was 2 * 2 * 2 * x = 8 * x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x + (2 * x) + (4 * x) + (8 * x). This simplifies to $450 = 15 * x. And therefore, the amount of money she put in the bank the first year was x = $30.
The answer: 30
Reverse engineering the question: Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?


Reasoning and answer: First find the total cost of the spellbooks by multiplying the price per book by the number of books: 5 books * 5 gold / book = 25 gold. Then add that amount to the cost of the owl: 25 gold + 28 gold = 53 gold. Now multiply that number by the conversion rate between gold and silver: 53 gold * 9 silver / gold = 477 silver. Now find the total cost of the potion kits by multiplying the price per kit by the number of kit: 3 kits * 20 silver / kit = 60 silver. Now add that amount to the cost of the books and owl to find Harry's total spending: 60 silver + 477 silver = 537 silver.
The answer: 537
What was the question?
Question: Harry needs to buy 5 spellbooks that each cost 5 gold, three potion kits that each cost 20 silver, and one owl that costs 28 gold. There are 9 silver to a gold. How much will Harry pay total, in silvers?


Two pieces of snickers cost $1.5 x 2 = $3. One pack of M&M's costs $3 so 3 packs cost $3 x 3 = $9. The total amount that she needs to pay is $3 + $9 = $12. Julia gave the cashier $10 x 2 = $20. So, her change is $20 - $12 = $8.
The answer: 8
Reverse engineering the question: In a grocery store, Julia bought 2 pieces of Snickers and 3 packs of M&M's. If each piece of Snickers costs $1.5 and a pack of M&M's has the same cost as 2 Snickers, how much is Julia's change if she gave the cashier 2 $10 bills?


Reasoning and answer: Let X be the amount owned by James. The amount owned by Ali is X - $40. The total amount owned by both of them X + (X - $40) = $250. Combining like terms, we get X * 2 - $40 = $250. Adding $40 to both sides, we get X * 2 = $290. Dividing both sides by 2, we get X = $145.
The answer: 145
What was the question?
Question: James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James.


Reasoning and answer: He worked for 8 - 3 = 5 days. So he worked for 5 * 8 = 40 hours.
The answer: 40
What was the question?
Question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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John worked 8 hours a day every day from the 3rd to the 8th, including the 3rd and not including the 8th. How many hours did he work?