2004 AMC 12A Problems/Problem 4
Revision as of 12:08, 5 November 2006 by Xantos C. Guin (talk | contribs) (fixed typo in answer choice)
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?
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 .