Discussion Forum

In a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children.If 3/4 of men are married and  2/3 of the married men have children, What part of the workers are without children?

Answer:

Explanation:

let the total number of workers be x

Number of women = x/3 and number of men = (x-x/3) = 2x/3

Number of women having children = 1/3 of 1/2 of x/3 = x/18

Number of men having children = 2/3 of 3/4 of 2x/3 = x/3

Number of workers having children = (x-7x/18) = 11x/18 = 11/18 of all workers