Difference between revisions of "2004 AMC 12A Problems/Problem 4"
(No difference)
|
Revision as of 17:28, 4 November 2006
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 grand-daughters have no daughters?
Solution
Since Bertha has 6 daughters, Bertha has granddaughters, of which none have daughters. Of Bertha's daughters, have daughters, so do not have daughters.
Therefore, of Bertha's daughters and granddaughters, do not have daughters .