Question

The ratio between the number of men and women in an office is $5:7$. If the number of women working in the office is $42$, find the number of men working in the office.

Answer 1

Given that number of women working in the office $=$ $42$

ratio between the number of men and women in an office $=$ $5:7$

Let number of men working in the office $=$$x$

Therefore,

$\frac{Numberofmenworking}{umberofwomenworking}=\frac{5}{7}$

$$\begin{gathered} \frac{x}{42}=\frac{5}{7} \\ x=\frac{5\times 42}{7} \\ x=30 \end{gathered}$$

Hence, number of men working in the office is $30$