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smc

prealgebra intermediate

Problem

In a certain population the ratio of the number of women to the number of men is to . If the average (arithmetic mean) age of the women is and the average age of the men is , then the average age of the population is
(A)
(B)
(C)
(D)
Solution
Assume, without loss of generality, that there are exactly women and men. Then the total age of the women is and the total age of the men is . Therefore the overall average is .
Final answer
D