Puzzle #245: Treasure

You have just found some treasure. In a chest, there are some gold pieces, some silver pieces, and some copper pieces. A “friend” would like to know how much. You tell him that the number of copper pieces is seventeen less than five times the number of silver pieces, that the number of silver pieces is twelve less than five times the number of gold pieces, and that the treasure trove is as small as it could be.

While he is puzzling that out, you beat a hasty retreat muttering under your breath that sharing is for toys and ice cream.

How many of each coin type does your treasure have anyway? (I am just asking.)

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, February 14, 2018> at noon Pacific Time. I will post the answer shortly after.

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