2026 AMC 8 第 8 题

先试着解答 2026 AMC 8 第 8 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2026 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

8.

一项调查询问人们是否喜欢解数学题。正好有 74%74\% 的人回答“是”。参加调查的人数最少可能是多少?
A poll asked a number of people if they liked solving mathematics problems. Exactly 74%74\% answered “yes.” What is the fewest possible number of people who could have been asked the question?
1010
2020
2525
5050
100100
答案:D
知识点:百分数分数
小提示:
把 74%74\% 写成分数。
Write 74%74\% as a fraction of the total
大提示:
将这个分数约分,最少总人数必须是分母的倍数。
Reduce the percentage fraction and use its denominator
视频讲解:
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文字解答:
回答“是”的人数正好占 74%=74100=375074\%=\frac{74}{100}=\frac{37}{50}。总人数必须是 5050 的倍数,因此最少可以是 5050 人。
Exactly 74%=74100=375074\%=\frac{74}{100}=\frac{37}{50} of the people answered yes. The total number of people must therefore be a multiple of 5050, and 5050 people is possible.
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