Question 1094185: Question: Using only 4 different types of U.S coins, find a combination that totals $52.40. The trick is you must have the same number of each coin.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The "trick" makes this easier to solve than it might have been without the trick. The requirement to have the same number of each type of coin means the total, $52.40, is an integer multiple of the value of 1 each of the 4 kinds of coins.
5240 = 131*40
So you either have to have 131 each of 4 coins that have a total value of 40 cents, or 40 each of 4 coins that have a total value of $1.31. There are no 4 different coins that have a total value of 40 cents. The 4 coins that have a total value of $1.31 are a dollar coin, a quarter, a nickel, and a penny.
So the required combination is 40 each of a dollar, quarter, nickel, and penny.
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