2004 AMC 10A 第 6 题

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 的女儿和外孙女总共有

30

人，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

Bertha 有

30 - 6 = 24

个外孙女，而且她们都没有女儿。

Bertha has

30 - 6 = 24

granddaughters, and none of them have daughters

外孙女每

6

人来自一个女儿，求有多少个女儿是母亲。

The granddaughters come in groups of

6,

so find how many daughters are mothers

Bertha 有

30 - 6 = 24

个外孙女，这些外孙女都没有女儿。

她们来自

\frac{24}{6} = 4

个 Bertha 的女儿，所以正好

4

人有女儿，没有女儿的人数为

30 - 4 = 26\text{。}

所以正确答案是 E。

Bertha has

30 - 6 = 24

granddaughters, none of whom have daughters.

These granddaughters belong to

\frac{24}{6} = 4

of Bertha’s daughters. So exactly

4

women have daughters, and the number with no daughters is

30 - 4 = 26.

Thus, the correct answer is E.

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