Problem:
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?
Answer Choices:
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Solution:
Bertha has granddaughters, none of whom have any daughters. The granddaughters are the children of of Bertha's daughters, so the number of women having no daughters is .
The problems on this page are the property of the MAA's American Mathematics Competitions