In a certain office , 1/3 of the workers are women, 1/2 of the women are married and 1/3 of - Maths - Simple Equations

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?

S. Usha Rani · Accepted Answer

if 1/3 = women, 2/3 = men

1/3 = women
1/2 of women = married
so 1/3 *1/2 = 1/6 of whole office is married women
1/3 of married women have children
so 1/6 *1/3=1/18 of whole office is married women with
children

2/3 = men
3/4 of men = married
so 2/3 *3/4=1/2 people in office are married men
2/3 of married men have children
so 1/2*2/3=2/6 = 1/3 of whole office is married men with
children

1/18 + 1/3 = married with children in office = 7/18 of office
so 11/18 of office doesn't have children

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?