2004 AMC 10A Problems/Problem 13

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Problem

At a party, each man danced with exactly three women and each woman danced with exactly two men. Twelve men attended the party. How many women attended the party?

Solution

If each man danced with 3 women, then there were a total of pairs of a man and a woman. However, each woman only danced with 2 men, so there must have been women .

See also

2004 AMC 10A (Problems)
Preceded by Problem 12	Followed by Problem 14
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25