Anna baked 4 x 20 = 80 cupcakes. She sold 80 x 3 / 5 = 48 cupcakes. Thus, she earned 48 x $2 = $96 from it.
The answer: 96
Reverse engineering the question: Anna used four baking trays to bake cupcakes. Each tray has 20 cupcakes and each cupcake was then sold for $2. If only 3/5 of the cupcakes were sold and the rest were kept, how much did Anna earn from it?


Reasoning and answer: For each type of shirt, he needed to buy, 40 employees / 4 = 10 shirts. White men's T - shirts cost $20 / shirt * 10 shirts = $200. White women's T - shirts cost $5 less, or ($20 / shirt - $5 / shirt) * 10 shirts = $15 / shirt * 10 shirts = $150. Black men's t - shirts cost, $18 / shirt * 10 shirts = $180. Black women's T - shirts cost $ 5 less, so ($18 / shirt - $5 / shirt) * 10 shirts = $13 / shirt * 10 shirts = $130. Now add up all these quantities to find the total: $200 + $150 + $180 + $130 = $660.
The answer: 660
What was the question?
Question: Juan bought T-shirts for his employees. He bought shirts for men and women. Women's t-shirts are $5 cheaper than men's t-shirts of the same color. His company has 2 sectors, one in white t-shirts and the other in black t-shirts. He paid $20 for white men's t-shirts and $18 for black men's t-shirts. The 2 sectors have the same number of men and women, with a total of 40 employees. How much did he spend total on buying t-shirts?


For 5 apples, Mary will pay 5 * 1 = 5 dollars. For 3 oranges, she will pay 3 * 2 = 6 dollars. For 2 bananas, she will pay 2 * 3 = 6 dollars. She bought 5 + 3 + 2 = 10 fruits. For 10 fruits, Mary gets a discount of 10 / 5 = 2 dollars. In total, the bill is 5 + 6 + 6 = 17 dollars. Subtracting the discount offered by the stores, Mary will pay 17 - 2 = 15 dollars.
The answer: 15
Reverse engineering the question: Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay?


Reasoning and answer: His square paintings take up 36 square feet each because 6 x 6 = 36. His small paintings take 6 square feet each because 2 x 3 = 6. His large painting takes up 150 square feet because 10 x 15 = 150. Combined, his square paintings take up 108 square feet because 3 x 36 = 108. Combined, his small paintings take up 24 square feet because 4 x 6 = 24. In total, his paintings take up 282 square feet because 150 + 108 + 24 = 282.
The answer: 282
What was the question?
Question: Davonte is trying to figure out how much space his art collection takes up. He measures his paintings and finds he has three square 6-foot by 6-foot paintings, four small 2-foot by 3-foot paintings, and one large 10-foot by 15-foot painting. How many square feet does his collection take up?


First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = 4 gallons. Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = 6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = 2 gallons. Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = 4 gallons.
The answer: 4
Reverse engineering the question: Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?


They have played 30 total games because 12 + 18 = 30. The proportion won by Archibald is .4 because 12 / 30 = .4. The percentage he has won in 40% because .4 x 100% = 40%.
The answer: 40
Reverse engineering the 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.
user
Archibald and his brother are playing tennis against each other. Archibald has won 12 games and his brother has won 18. What percentage of games has Archibald won?