Question

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?

Answer 1

Answer: There are
`198` children at the circus show.

Explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that
`(1)/(4)` of the spectators are men, we can find the remaining:

`x-(1)/(4)x=(3)/(4)x`

Since
`(2)/(5)` of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

`((2)/(5))((3)/(4)x)=132`

Solving for "x", we get:

`x=(132)((20)/(6))\\\\x=440`

Therefore, we get that "c" is:

`c=440-(1)/(4)(440)-132\\\\c=198`