2007 UNCO Math Contest II Problems/Problem 2
In Grants Pass, Oregon of the men are married to of the women. What fraction of the adult population is married? Give a possible generalization.
Let the number of men be equal to and the number of women be equal to , where and are positive whole numbers. Assuming a marriage consists of one man and one woman, we see that the number of married men is equal to the number of married women in the equation:
Dividing the the number of married persons by the entire adult population gives us:
Using the above statements, we can derive a generalized formula. If is the fraction of married men and is the fraction of married women, then:
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