There are 80 men in a race. 1/4 of the men tripped and were unable to finish. 2/3 of the remaining men were dehydrated and 1/5 of those dehydrated men couldn't finish the race. How many men finished the race? Give the rationale and then the answer.
Let's think step by step. 1 / 4 of 80 men is 80 / 4 = 20 men. 20 men couldn't finish, so 80 - 20 = 60 men remain. 60 * 2 / 3 = 40 men were dehydrated. 1 / 5 of the dehydrated couldn't finish 40 * 1 / 5 = 8 men. 60 - 8 = 52 men finished the race.. The answer is: 52.

Ben will receive a bonus of $1496. He chooses to allocate this amount as follows: 1/22 for the kitchen, 1/4 for holidays and 1/8 for Christmas gifts for his 3 children. How much money will he still have left after these expenses? Give the rationale and then the answer.
Let's think step by step. Ben's spending for the kitchen is $1496 x 1 / 22 = $68. Ben's spending for holidays is $1496 x 1 / 4 = $374. Ben's spending for children's gifts is $1496 x 1 / 8 = $187. The total amount spent is $68 + $374 + $187 = $629. So, Ben still has $1496 - $629 = $867 left.. The answer is: 867.

Phil has a coin collection he likes to add to. He started with 50 state quarters his parents gave him. Over the next year he doubled this. The following year he collected 3 each month. The year after that he collected 1 every third month. The year after that he lost a quarter of them when he misplaced his collection. How many did he have left after losing some? Give the rationale and then the answer.
Let's think step by step. Phil started with 50, and doubled this amount the next year for 50 * 2 = 100 coins. Phil then collected 3 per month the following year, and since there are 12 months in a year that was 3 * 12 = 36 coins added. Phil then collected 1 every third month, and since there are 12 months that means he collected one every 12 / 3 = 4 months, for 4 coins added. Before he lost a quarter of his coins, Phil had 100 + 36 + 4 coins, or 140 coins in total. Losing a quarter of 140 coins means Phill lost 140 / 4 = 35 coins. That means Phil had 140 - 35 = 105 coins remaining.. The answer is: 105.