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

There are 198 children at the circus show.

Explanation:

Let the total number of spectators be 'x'.

Given:

Number of men =
`(1)/(4)` of the total number

Number of women =
`(2)/(5)` of the remaining number.

Also, number of women = 132

Number of men =
`(1)/(4)\ of\ x=(x)/(4)`

Now, spectators remaining = Total number - Number of men

Spectators remaining =
`x-(x)/(4)=(4x-x)/(4)=(3x)/(4)`

Now, number of women =
`(2)/(5)* (3x)/(4)=(6x)/(20)`

Now, as per question:

Number of women = 132. Therefore,

`(6x)/(20)=132`

`6x=132* 20`

`x=(2640)/(6)=440`

Therefore, the total number of spectators = 440

Also, number of men =
`(x)/(4)=(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.