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.

Step-by-step 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 $\frac{1}{4}$ of the spectators are men, we can find the remaining:

$x-\frac{1}{4}x=\frac{3}{4}x$

Since $\frac{2}{5}$ of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

$(\frac{2}{5})(\frac{3}{4}x)=132$

Solving for "x", we get:

$x=(132)(\frac{20}{6})\\\\x=440$

Therefore, we get that "c" is:

 $c=440-\frac{1}{4}(440)-132\\\\c=198$