Reasoning and answer: First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $42,000. Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $45,000. Next, figure out what percent of his salary Bill keeps after income tax: 100% - 10% = 90%. Now we know that .9g = $45,000, where g is Bill's gross salary. Now we can divide both sides of the equation by .9 to find that g = $50,000.
The answer: 50000
What was the question?
Question: Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary?
The number of students in the marching band is 600 / 5 = 120 students. The number of students that play a brass instrument is 120 / 2 = 60 students. The number of students that play the saxophone is 60 / 5 = 12 students. The number of students that play the alto saxophone is 12 / 3 = 4 students.
The answer: 4
Reverse engineering the question: At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone?
Reasoning and answer: Each pile has 10 coins, so he has:. 10 * 4 * $.25 = $10.00 worth of quarters,. 10 * 6 * $.10 = $6.00 worth of dimes,. 10 * 9 * $.05 = $4.50 worth of nickels, and. 10 * 5 * $.01 = $0.50 worth of pennies. Altogether he has $10.00 + $6.00 + $4.50 + $0.50 = $21.00.
The answer: 21
What was the question?
Question: Rocco stores his coins in piles of 10 coins each. He has 4 piles of quarters, 6 piles of dimes, 9 piles of nickels, and 5 piles of pennies. How much money does Rocco have?
Corveus lacks 6 - 4 = 2 hours of sleep every day. Therefore, Corveus' total hours of lack of sleep every week is 2 x 7 = 14.
The answer: 14
Reverse engineering the question: Corveus sleeps 4 hours a day and his doctor recommended for him to sleep 6 hours a day. How many hours of sleep does Corveus lack in a week?
Reasoning and answer: If he reserves 160 sq. ft. of space for a desk and some walking space, then he will have 400 - 160 = 240 sq. ft. of space remaining. If each bookshelf takes up 80 sq. ft. of space, then 240 sq ft can contain 240 / 80 = 3 bookshelves.
The answer: 3
What was the question?
Question: Jonas is a book collector. He has so many books he is converting his third bedroom into a library. This room has 400 square feet of space. He plans to put several bookshelves in the room and each bookshelf takes up 80 square feet of space. If he reserves 160 square feet of space to use for a desk and some walking space, how many shelves can he put in the room?
Reasoning and answer: Over the movies run it made 120 * 3.5 = 420 million. So the production company made 420,000,000 * .6 = $252,000,000. So they got a profit of 252,000,000 - 60,000,000 = $192,000,000.
The answer: 192000000
What was the question?
Question:
A new movie gets released and makes $120 million in the box office for its opening weekend. It ends up making 3.5 times that much during its entire run. If the production company gets to keep 60%, how much profit did they make if the movie cost $60 million to produce?