In a given population of men and women 30 of the men are mar

In a given population of men and women, 30% of the men are married, and 35% of the women are married. What percent of the adult population is married? Assume the marriages are heterosexual and monogamous.

Solution

30% of men are married

35% of women are married

married women = married man right, otherwise they wouldnt be married.

.3 * m = .3.5 * w
so out of 100 people, w + m = 100

solve for one, either w or m.

so w + 1.167 w = 100
2.167 w = 100
w is about 46.14
m is about 53.85

% married .35 * 46.14 + .3 * 53.85 = married = about 32.3 out of 100