2004 AMC 8 第 22 题
先试着解答 2004 AMC 8 第 22 题，然后核对你的答案与精心整理的解答，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 2004 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。
22.
一个聚会上只有单身女性和已婚男性及其妻子。随机选择一名女性，她是单身的概率为 。房间里的人中，已婚男性占几分之几？
At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is What fraction of the people in the room are married men?
答案：B
小提示：
使用一个符合 比例的方便女性人数
Use a convenient number of women matching the ratio
大提示：
已婚女性和已婚男性人数相等
Married women and married men come in equal numbers.
解答：
为了便于按比例计算，设房间里有 名女性。那么单身女性有 名。
因此已婚女性有 名，也就是已婚男性的人数。
房间里共有 人。已婚男性所占比例为 。
所以正确答案是 B。
For a convenient ratio model, let there be women in the room. Then there are single women.
This means that there are married women, which is also the number of married men.
There are a total of people in the room. The fraction of married men is
Thus, B is the correct answer.
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