Reasoning and answer: He gets 6 * 5 = 30 hours of sleep on 5 days. He gets 10 * 2 = 20 hours the other days. So he got 30 + 20 = 50 hours.
The answer: 50
What was the question?
Question: Tim sleeps 6 hours per day for 5 days a week and 10 hours a day for the other 2. How much total sleep does he get?
Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47.
The answer: 47
Reverse engineering the question: Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
Reasoning and answer: If 36 fruits were evenly split between 3 types of fruits, then I bought 36 / 3 = 12 units of each fruit. If 1 orange costs $0.50 then 12 oranges will cost $0.50 * 12 = $6. If my total bill was $66 and I spent $6 on oranges then I spent $66 - $6 = $60 on the other 2 fruit types. Assuming the price of watermelon is W, and knowing that you can buy 4 apples for the same price and that the price of one apple is A, then 1W = 4A. If we know we bought 12 watermelons and 12 apples for $60, then we know that $60 = 12W + 12A. Knowing that 1W = 4A, then we can convert the above to $60 = 12(4A) + 12A. $60 = 48A + 12A. $60 = 60A. Then we know the price of one apple (A) is $60 / 60 = $1.
The answer: 1
What was the question?
Question: You can buy 4 apples or 1 watermelon for the same price. You bought 36 fruits evenly split between oranges, apples and watermelons, and the price of 1 orange is $0.50. How much does 1 apple cost if your total bill was $66?
The company pays a total of 10 / 100 * $400000 = $40000 on taxes. After taxes, the company revenue is $400000 - $40000 = $360,000. The costs of marketing and ads campaign are 5 / 100 * $360000 = $18000. After deducting the costs of marketing and adds campaign, the company remains with = $342,000 in revenue. Operational costs for the company are 20 / 100 * $342000 = $68400. After taking out the operational costs, the company remains with $342000 - $68400 = $273600. The company also pays employee wages of 15 / 100 * $273600 = $41040. If the total number of employees is 10, each employee is paid a salary of $41040 / 10 = $4104 per month.
The answer: 4104
Reverse engineering the question: Ms. Estrella is an entrepreneur with a startup company having 10 employees. The company makes a revenue of $400000 a month, paying 10% in taxes, 5% of the remaining amount on marketing and ads, 20% of the remaining amount on operational costs, and 15% of the remaining amount on employee wages. Assuming each employee receives the same wage, calculate the amount of money each employee is paid monthly.
Reasoning and answer: First find the total number of spools of yarn James has: 12 spools + 15 spools + 6 spools = 33 spools. Then divide that number by the number spools each beret needs: 33 spools / 3 spools / beret = 11 berets.
The answer: 11
What was the question?
Question: James can make a beret from 3 spools of yarn. If he has 12 spools of red yarn, 15 spools of black yarn, and 6 spools of blue yarn, how many berets can he make?
Reasoning and answer: He gave twice 15 cookies to Anna which is 2 * 15 = 30 cookies. He gave out a total of 15 + 23 + 30 = 68 cookies. The remainder in the fridge is 256 - 68 = 188 cookies.
The answer: 188
What was the question?
Question:
Uncle Jude baked 256 cookies. He gave 15 cookies to Tim, 23 cookies to Mike, kept some in the fridge and gave the rest to Anna. How many cookies did he put in the fridge if he gave twice as many cookies as he gave Tim to Anna?