Question

Of total number of spectators at a circus show 1/4 are men. 2/5 of the remaining number of spectators are woman

Answer 1

Men = 110, Children = 198.

Explanation:

Assume that the complete question is " Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. there are 132 women at the circus show. How many children are at the circus show?".

Let x be the total number of spectators.

1/4 of total number of spectators are men, so the remaining spectators are 3/4 of total spectators.

Remaining spectators =
`(3)/(4)x`

2/5 of the remaining number of spectators are women

`Women=(3)/(4)x* (2)/(5)=(3)/(10)x`

132 women at the circus show.

`(3)/(10)x=132`

`3x=1320`

Divide both sides by 3.

`x=(1320)/(3)=440`

Total number of spectators is 440.

Number of men =
`440* (1)/(4)=110`

Number of women = 132

Number of children = Total - Men - Women

= 440 - 110 - 132

= 198

Therefore, the number of children at circus show is 198.