238. Buying Stamps. A boy was given 1 dollar to buy stamps with this amount. He had to buy several 2-cent stamps, ten times as many 1-cent stamps, and with the remaining money, he was to buy 5-cent stamps. How many stamps of each value did the boy buy
238. All 1- and 2-cent stamps can be divided into identical piles, each worth 12 cents. The total amount spent on such stamps must be divisible by 5, that is, it equals 60 cents. Therefore, the boy bought five 2-cent stamps, fifty 1-cent stamps, and eight 5-cent stamps.

$[$ [2. M. 32, 171 (January 1959).]