On her second birthday she adds $.5 because 2 x .25 = .5. On her third birthday she adds $.35 because 3 x .25 = .75. On her fourth birthday she adds $1 because 4 x .25 = 1. On her fifth birthday she adds $1.25 because 5 x .25 = 1.25. On her six birthday she adds $1.5 because 6 x .25 = 1.5. On her seventh birthday she adds $1.75 because 7 x .25 = 1.75. The total is $7 because .25 + .5 + .75 + 1 + 1.25 + 1.5 + 1.75 = 7.
The answer: 7
Reverse engineering the question: Every year, Mabel gets as many quarters as she is years old. She always puts these and nothing else in a piggy bank. When she turns 7, how much money is in the bank?
Reasoning and answer: Each dog eats 6 * 2 = 12 cups of food a day. His two dogs eat 12 * 2 = 24 cups a day. Thus they eat 24 / 4 = 6 pounds a day. So they eat 6 * 30 = 180 pounds a month. So he needs to buy 180 / 20 = 9 bags of food.
The answer: 9
What was the question?
Question: A cup of dog food weighs 1/4 of a pound. If Mike has 2 dogs that each eat 6 cups of dog food twice a day how many 20 pound bags of dog food does he need to buy a month?
Addison sold 181 x 2 = 362 raffle tickets on Saturday. She sold 362 on Saturday 78 on Sunday = 284 more on Saturday than Sunday.
The answer: 284
Reverse engineering the question: On Friday, Addison sold 181 raffle tickets for a fundraiser. She sold twice as many on Saturday. On Sunday, she sold 78 raffle tickets. How many more raffle tickets were sold on Saturday than Sunday?
Reasoning and answer: Let X be the price of one kid's ticket. So the price of one adult ticket is X * 2. Five kids and two adults are going to the circus, so 6 * X + 2 * (X * 2) = $50. So 10X = $50. So the price of one kid's ticket is X = $5.
The answer: 5
What was the question?
Question: Six kids and two adults are going to the circus. Kid's tickets are on sale for only half of the adult tickets. The total cost is $50. How much is one kid's ticket?
Let X be the money Frank had originally. Frank spent 1 / 5 * X on groceries. Frank spent 1 / 4 * (X - 1 / 5 * X) on a magazine. Frank has X - 1 / 5 * X - 1 / 4 * (X - 1 / 5 * X) = $360 left in his wallet. Multiplying through the parentheses, we get X - 1 / 5 * X - 1 / 4 * X + 1 / 20 * X = $360. Combining like terms, we get 12 / 20 * X = $360. Dividing both sides by 12 / 20, we get X = $600.
The answer: 600
Reverse engineering the question: Frank spent 1/5 of his money to buy groceries. He then spent 1/4 of the remaining money to buy a magazine. If he had $360 left in his wallet, how much money did he have at first?
The total amount of money from washing cars is 3 * $10 = $30. The total amount of money from mowing lawns 2 * $13 = $26. The total amount of money Stormi makes is $30 + $26 = $56. Stormi still needs to make $80 - $56 = $24.
The answer: 24
Reverse engineering the question:
Stormi is saving up to buy a bicycle. She washes 3 cars for $10 each. She mows 2 lawns for $13 each. If the bicycle she wants costs $80, how much more money does Stormi need to make to afford the bicycle?