If Ariella has $200 more in her son's saving account than Daniella has, then she has $400 + $200 = $600. If she earns an interest of 10% in the first year, her savings account increases by 10 / 100 * $600 = $60. In the second year, she earns the same amount of interest, which $60 + $60 = $120. The total amount of money in Ariella's account after two years is $600 + $120 = $720.
The answer: 720
Reverse engineering the question: Ariella has $200 more in her son's saving account than Daniella has in her son's savings account. Ariella's account earns her simple interest at the rate of 10% per annum. If Daniella has $400, how much money will Arialla have after two years?
Reasoning and answer: Distance driven = 907 + 582 = 1489 km. Distance remaining = 8205 - 1489 = 6716 km. Amelia still has 6716 kilometers to drive.
The answer: 6716
What was the question?
Question: The distance across a country is 8205 kilometers. Amelia started at one end and drove 907 kilometers on Monday and 582 kilometers on Tuesday. How many kilometers does Amelia still have to drive to make it across the country?
He got 2 * 6 = 12 hours the first 2 days. The next 2 days he gets 2 * 10 = 20 hours. So he got 12 + 20 = 32 hours.
The answer: 32
Reverse engineering the question: Tim gets 6 hours of sleep 2 days in a row. To make up for it he sleeps 10 hours the next 2 days. How much sleep did he get?
Reasoning and answer: Bran's scholarship pays $90 x 0.30 = $27 to his tuition fee. So, the total amount he still needs to pay is $90 - $27 = $63. And Bran will be able to earn $15 x 3 = $45 after working for 3 months. Therefore, the total amount he still needs to pay is $63 - $45 = $18.
The answer: 18
What was the question?
Question: Bran's tuition fee is $90. He does a part-time job that pays him $15 per month and he has a scholarship that takes care of 30% of his tuition fee. If he needs to pay his tuition fee within 3 months, how much does Bran still need to pay?
Mary spent 5 x $6 = $30 on drinks. She spent 10 x $14 = $140 on pizzas. She spent a total amount of $30 + $140 = $170. Therefore, Mary got a change of $200 - $170 = $30 after paying all the items for her pizza party.
The answer: 30
Reverse engineering the question: Mary bought 5 boxes of drinks at $6 each box and 10 boxes of pizzas at $14 each box for her pizza party. She paid $200 for all the items. How much change did she get back?
The manuscript is 400 pages and the printers charge $0.05 per page for a total of 400 * .05 = $20.00 per manuscript. She needs 10 copies made and it costs $20.00 per manuscript so that's 10 * 20 = $200.00. She also needs each of the 10 copies to be bound, which is $5.00 per manuscript so that's 5 * 10 = $50.00. It will cost $200.00 to have them printed and $50.00 to have them bound for a total of 200 + 50 = $250.00.
The answer: 250
Reverse engineering the question:
Clarissa is responsible for getting 10 copies of a manuscript printed and having each copy bound. The printers charge $0.05 per page to copy it and $5.00 per manuscript to have it bound. If the manuscript is 400 pages, how much will it cost to have it copied and bound 10 times?