Question

The ratio of men to women passengers in an aeroplane is $4:7$. There are $147$ women ,how many are men $?$ How many total number of passengers are there $?$

Answer 1

Given, ratio of men and women passenger $=4:7$

Women passenger $=147$

Let men passenger be $x$

It is written as men passenger $:$ women passenger $=4:7$

$x:147:\hspace{0.17em}:4\hspace{0.17em}:7$

Product of extreme terms = product of mean terms

$$\begin{gathered} x\times 7=147\times 4 \\ x=\frac{147\times 4}{7} \\ x=\frac{{\displaystyle \stackrel{21}{1\cancel{47}}\times 4}}{{\displaystyle \underset{1}{\cancel{7}}}} \\ x=21\times 4 \\ \therefore x=84 \end{gathered}$$

Number of men passengers $=84$

Total number of passengers $=147+84=231$

Hence, the men passengers and total number of passengers are $84$and $231$respectively.