2026 AMC 8 第 8 题

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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
难度评级:960
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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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