Reasoning and answer: Toby gets 400 full rotations because 5 x 80 = 400. His friend get 404 rotations because 4 x 101 = 404. The winner rotated 404 objects because 404 > 400.
The answer: 404
What was the question?
Question: Toby is in a juggling contest with a friend. The winner is whoever gets the most objects rotated around in 4 minutes. Toby has 5 baseballs and each one makes 80 rotations. His friend has 4 apples and each one makes 101 rotations. How many total rotations of objects are made by the winner?
Since a year has 365 days, if Gavin has been having 4 dreams every day for a year now, he has had 4 * 365 = 1460 dreams this year. Gavin had twice as many dreams last as he had this year, meaning he had 2 * 1460 = 2920 dreams last year. The total number of dreams he has had in the two years is 2920 + 1460 = 4380 dreams.
The answer: 4380
Reverse engineering the question: Gavin has had 4 dreams every day for a year now. If he had twice as many dreams last year as he had this year, calculate the total number of dreams he's had in the two years.
Reasoning and answer: Ray gave 25 * 2 = 50 cents to Randi. Ray has 95 - 25 - 50 = 20 cents in nickels left. Ray has 20 / 5 = 4 nickels.
The answer: 4
What was the question?
Question: Ray has 95 cents in nickels. If Ray gives 25 cents to Peter, and twice as many cents to Randi as he gave to Peter, how many nickels does Ray have left?
A full year has 12 months. So 2 years is 2 * 12 = 24 months. The loan amount is $6,000 that he will repay in 24 months so 6000 / 24 = $250 per month. If he paid his dad back in 5 years that 5 * 12 = 60 months. $6,000 loan spread out over 60 months is 6000 / 60 = $100 per month. To pay it off in 2 years instead of 5, Gary is paying 250 - 100 = $150 more per month.
The answer: 150
Reverse engineering the question: Gary bought his first used car for $6,000. Gary borrowed the money from his dad who said he could pay him back the full amount over 5 years. Gary decided he would pay his dad back the full amount in 2 years. How much more is Gary spending per month to pay the loan off in 2 years instead of 5?
Reasoning and answer: First figure out how many hours each worker works per month by multiplying the number of days they work by the number of hours a day they work: 25 days * 8 hours / day = 200 hours. Then calculate how much one warehouse worker makes per month by multiplying their hourly rate by the number of hours they work: 200 hours * $15 / hour = $3000. Then multiply that number by 4 to find out how much all the warehouse workers make: $3000 / worker * 4 workers = $12,000. Now multiply the hours each manager works (also 200) by their hourly wage to find out how much one manager makes per month: 200 hours * $20 / hour = $4,000. Now multiply one manager's wages by the number of managers (2) to find their total wage amount: $4,000 / manager * 2 managers = $8,000. Now add the wages for the managers and the workers to find the total cost of the wages: $8,000 + $12,000 = $20,000. Now multiply the total wage bill by 10% to find how much the FICA taxes are: $20,000 * .1 = $2,000. Now add the total wage bill to the total tax amount to find the grand total: $2,000 + $20,000 = $22,000.
The answer: 22000
What was the question?
Question: Janet hires six employees. Four of them are warehouse workers who make $15/hour, and the other two are managers who make $20/hour. Janet has to pay 10% of her workers' salaries in FICA taxes. If everyone works 25 days a month and 8 hours a day, how much does Janet owe total for their wages and taxes for one month?
Reasoning and answer: Before Samuel walked across the porch, there were 331 - 223 = 108 dust particles. Those 108 were 1 / 10 of the original amount, so there were 108 * 10 = 1080 dust particles on the porch before Samuel swept.
The answer: 1080
What was the question?
Question:
Samuel swept the porch and cleared nine-tenths of the dust particles from it. As he walked across the porch afterward, his shoes left 223 dust particles behind. How many dust particles were on the porch before Samuel swept if there were 331 after he walked across it?