2004 AMC 8 Problems/Problem 22
Problem
At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is . What fraction of the people in the room are married men?
Solution
Assume arbitrarily (and WLOG) there are women in the room, of which are single and are married. Each married woman came with her husband, so there are married men in the room as well for a total of people. The fraction of the people that are married men is .
See Also
2004 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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