Question

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 the men are married and 2/3 of the married men have children, what part of workers are without children?

Answer 1

Let there are x workers in office
woman=1/3x
Married wmn=1/6x
Married wmn having child=1/18x
Men=2/3x
Married men=2/3×3/4=1/2
Married men having child=1/3x
Total worker having child =1/18x+1/3x=7x/18
Total worker without child=1-7x/18=11x/18
11x/18×1/x=11/18
Thus 11÷18 part of worker don't have child