Question

Bertha 有 $6$ 个女儿，没有儿子。她的一些女儿各有 $6$ 个女儿，其余女儿没有女儿。Bertha 一共有 $30$ 个女儿和外孙女，并且没有曾外孙女。Bertha 的女儿和外孙女中，有多少人没有女儿？

Bertha has $6$ daughters and no sons. Some of her daughters have $6$ daughters, and the rest have none. Bertha has a total of $30$ daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and granddaughters have no daughters?

$22$

$23$

$24$

$25$

$26$

答案：E

知识点：基本计数

难度评级：1150

解答：

Bertha 有 $30 - 6 = 24$ 个外孙女，她们都没有女儿。

这些外孙女是 Bertha 的 $24 / 6 = 4$ 个女儿所生，所以恰好有 $4$ 人有女儿。

因此没有女儿的人数是 $30 - 4 = 26$ 。

所以正确答案是 E。

Bertha has $30 - 6 = 24$ granddaughters, none of whom have daughters.

These granddaughters are the children of $24 / 6 = 4$ of Bertha's daughters, so exactly $4$ women have daughters.

Therefore the number of women with no daughters is $30 - 4 = 26.$

Thus, the correct answer is E.

2004 AMC 12A 第 4 题

答案：E

难度评级：1150

解答：

其他年份的第 4 题