[Question]Beth went shopping. She bought 15 more cans of peas than twice the number of cans of corn that she bought. If she bought 35 cans of peas, how many cans of corn did she buy?
[Answer]Let the number of cans of corn she bought be a. Twice the number of corn cans is 2 * a = 2a. The 35 cans of peas were 15 more than twice the number of corn cans which means 15 + 2a = 35. Solving the equation: 2a = 20. a = 20 / 2 = 10 cans of corn. The answer is 10.

[Question]Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?
[Answer]The number of non - valuable files Brennan downloaded in the first round is 70 / 100 * 800 = 560 files. The number of valuable files Brennan downloaded in the first round is 800 - 560 = 240. When he downloaded 400 new files, there were 3 / 5 * 400 = 240 non - useful files, which he deleted again. The total number of valuable files he downloaded in the second round is 400 - 240 = 160. To write his research, Brennan had 160 + 240 = 400 useful files to reference to write his research. The answer is 400.

[Question]Mac loves the shape of quarters and is willing to trade money for them, even if he loses value. He tells his brother that he will trade him 3 dimes for a quarter or 7 nickels. He trades for 20 quarters with dimes and 20 quarters with nickels. How many dollars did Mac lose?
[Answer]Three dimes is equal to $.3 because 3 x .1 = .3. Seven nickels is equal to $.35 because 7 x .05 = .35. Each time he trades with dimes he lose $.05 because .3 - .25 = .05. Each time he traded with nickels he lost $.1 because .35 - .25 = .1. He lost $1 from trading with dimes because 20 x .05 = 1. He lost $2 from trading with nickels because 20 x .1 = 2. He lost $3 total because 1 + 2 = 3. The answer is 3.

[Question]Francie saves up her allowance for several weeks. She receives an allowance of $5 a week for 8 weeks. Then her dad raises her allowance, and she receives $6 a week for 6 weeks. Francie uses half of the money to buy new clothes. With the remaining money, she buys a video game that costs $35. How much money does Francie have remaining after buying the video game?
[Answer]
When her allowance is $5 a week, Francie gets a total of $5 * 8 = $40. When her allowance is $6 a week, Francie gets a total of $6 * 6 = $36. The total amount of money Francie gets is $40 + $36 = $76. After purchasing new clothes, she has $76 / 2 = $38 remaining. After buying the video game, Francie has $38 - $35 = $3 remaining. The answer is 3.