In a given population of men and women 25 of the men are mar

In a given population of men and women, 25% of the men are married, and 30% of the women are married. What percent of the adult population is married? Assume the marriages are heterosexual and monogamous.

Solution

Let the number of males in the population be x

Let the number of females in the population be y

Total Population = (x+y)

Since 25% of men are married = 0.25x

Since 30% of women are married = 0.30y

Since marriages are heterosexual, hence we have

0.25x = 0.30y

x = 1.2y

Total Population = (x+y) = 1.2y + y = 2.2y

Number of People married = 0.25 * 1.2y + 0.30y = 0.60y

Percentage of adult population married = 0.60y/2.20y * 100 = 27.27%