2004 AMC 12A Problems/Problem 4
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 .
See also
2004 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AMC 10 Problems and Solutions |