Problem:
Bertha has daughters and no sons. Some of her daughters have daughters, and the rest have none. Bertha has a total of daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and granddaughters have no daughters?
Answer Choices:
A.
B.
C.
D.
E.
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 .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions