Question

一项调查询问人们是否喜欢解数学题。正好有 $74\%$ 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 $74\%$ answered “yes.” What is the fewest possible number of people who could have been asked the question?

$10$

$20$

$25$

$50$

$100$

答案：D

知识点：百分数分数

难度评级：960

小提示：

把 $74\%$ 写成分数。

Write $74\%$ 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 $74\%=\frac{74}{100}=\frac{37}{50}$ 。总人数必须是 $50$ 的倍数，因此最少可以是 $50$ 人。

Exactly $74\%=\frac{74}{100}=\frac{37}{50}$ of the people answered yes. The total number of people must therefore be a multiple of $50$ , and $50$ people is possible.

2026 AMC 8 第 8 题