1998 AMC 8 第 14 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。
14.
在 Annville Junior High School，数学俱乐部中 的学生也参加科学俱乐部，科学俱乐部中 的学生也参加数学俱乐部。科学俱乐部有 名学生。数学俱乐部有多少名学生？
At Annville Junior High School, of the students in the Math Club are in the Science Club, and of the students in the Science Club are in the Math Club. There are students in the Science Club. How many students are in the Math Club?
答案：E
小提示：
先求两个俱乐部都参加的学生人数
Find the number of students in both clubs first.
大提示：
这个重叠人数是数学俱乐部人数的
That overlap is of the Math Club.
解答：
由于 的 名科学俱乐部学生也参加数学俱乐部，所以两个俱乐部共有的学生数是 。这相当于数学俱乐部人数的 ，因此数学俱乐部有 名学生。
所以正确答案是 E。
Since of the Science Club students are also in the Math Club, the two clubs overlap in students. This is of the Math Club, so the Math Club has students.
Thus, the correct answer is E .
其他年份的第 14 题
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