Competition problem — Combinatorics

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Combinatorics Difficulty 4.9 AIME Find the answer

4. In the Land of Dwarfs, there are 1 yuan, 5 yuan, 10 yuan, and 50 yuan gold coins. To buy a sheep priced at 168 yuan without receiving change, the minimum number of gold coins needed is $\qquad$ .

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

$8$

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.