Question

All of the total number of spectators at a circus show 1/4 or men 2/5 of the remaining number of spectators are women there 132 woman at the circus show how many children or at the circus show

Answer 1

Answer:

There are 198 children at the circus show.

Step-by-step explanation:

Let the total number of spectators be 'x'.

Given:

Number of men = $\frac{1}{4}$ of the total number

Number of women = $\frac{2}{5}$ of the remaining number.

Also, number of women = 132

Number of men = $\frac{1}{4}\ of\ x=\frac{x}{4}$

Now, spectators remaining = Total number - Number of men

Spectators remaining = $x-\frac{x}{4}=\frac{4x-x}{4}=\frac{3x}{4}$

Now, number of women = $\frac{2}{5}\times \frac{3x}{4}=\frac{6x}{20}$

Now, as per question:

Number of women = 132. Therefore,

$\frac{6x}{20}=132$

$6x=132\times 20$

$x=\frac{2640}{6}=440$

Therefore, the total number of spectators = 440

Also, number of men = $\frac{x}{4}=\frac{440}{4}=110$

Now, total number of spectators is the sum of the number of men, women and children.

Let the number of children be 'c'.

Total number = Men + Women + Children

$440=110+132+c\\440=242+c\\c=440-242=198$

Therefore, there are 198 children at the circus show.