2004 AMC 8 Problem 22
Attempt Problem 22 of the 2004 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
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?
Answer: B
Small hint:
Use a convenient number of women matching the ratio
Big hint:
Married women and married men come in equal numbers.
Solution:
For a convenient ratio model, let there be women in the room. Then there are single women.
This means that there are married women, which is also the number of married men.
There are a total of people in the room. The fraction of married men is
Thus, B is the correct answer.
Problem 22 in other years
- 1985 AMC 8
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