HMMT 二月 2000 · 团队赛 · 第 8 题
HMMT February 2000 — Team Round — Problem 8
题目详情
英文原题
- A w oman has $1.58 in p ennies, ni k els, dimes, quarters, half-dollars and silv er dollars.
If she has a di eren t number of oins of each denomination, ho w man y oins do es shehave? 4
解析
英文解析
- If she has a silv er dollar, then she w ould have to o man y other oins, as 0 half dollars,
2 quarters, 3 dimes, et . w ould be greater than the total. So she has no silv er dollars,
and at least one of ev ery other denomination. Con tin uing, it turns out the only feasiblesolution is 0 silv er dollars, 1 half dollar, 2 quarters, 3 dimes, 4 ni k els, 8 p ennies, for atotal of 18 oins.
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