In a certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children?  Choose the correct choice from the following choices:
A) 15/18 B) 7/18 C) 17/18 D) 6/18 E) 11/18
Let the total no of workers be x   No of women =x/3   No of men =x-(x/3)=2x/3   No of women having children =1/3 of ½ ofx/3=x/18   No of men having children=2/3 of ¾ of2x/3=x/3   No of workers having children = x/8 +x/3=7x/18   Workers having no children=x-7x/18=11x/18=11/18 of all workers   Answer is 11/18.
<result>E</result>
In a certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children?