In a certain office, 31 of workers are women, 21 of the women are married and 31 of the married women have children. If 43 of the men are married and 32 of the married men have children, what part of the workers are without children ?

Question

In a certain office, 31​ of workers are women, 21​ of the women are married and 31​ of the married women have children. If 43​ of the men are married and 32​ of the married men have children, what part of the workers are without children ?

Filo · Accepted Answer

Let the total number of workers be x. Then,
Number of women =

\frac{x}{3}

and number of men =

(x - \frac{x}{3}) = \frac{2 x}{3}

Number of women having children =

\frac{1}{3} o f \frac{1}{2} o f \frac{x}{3} = \frac{x}{18}

Number of men having children =

\frac{2}{3} o f \frac{3}{4} o f \frac{2 x}{3} = \frac{x}{3}

Number of workers having children =

(\frac{x}{18} + \frac{x}{3}) = \frac{7 x}{18}

∴

workers having no children =

(X - \frac{7 x}{18}) = \frac{11 x}{18} = \frac{11}{18}

of all workers

Question Text	In a certain office, $\frac{1}{3}$ of workers are women, $\frac{1}{2}$ of the women are married and $\frac{1}{3}$ of the married women have children. If $\frac{3}{4}$ of the men are married and $\frac{2}{3}$ of the married men have children, what part of the workers are without children ?
Answer Type	Text solution:1
Upvotes	150

In a certain office, $\frac{1}{3}$ of workers are women, $\frac{1}{2}$ of the women are married and $\frac{1}{3}$ of the married women have children. If $\frac{3}{4}$ of the men are married and $\frac{2}{3}$ of the married men have children, what part of the workers are without children ?

Text solutionVerified

Practice questions from similar books

In a certain office, 31​ of workers are women, 21​ of the women are married and 31​ of the married women have children. If 43​ of the men are married and 32​ of the married men have children, what part of the workers are without children ?

Text solutionVerified

Practice questions from similar books

In a certain office, $\frac{1}{3}$ of workers are women, $\frac{1}{2}$ of the women are married and $\frac{1}{3}$ of the married women have children. If $\frac{3}{4}$ of the men are married and $\frac{2}{3}$ of the married men have children, what part of the workers are without children ?