Answer: There are [tex]198[/tex] 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 [tex]\frac{1}{4}[/tex] of the spectators are men, we can find the remaining:
[tex]x-\frac{1}{4}x=\frac{3}{4}x[/tex]
Since [tex]\frac{2}{5}[/tex] of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:
[tex](\frac{2}{5})(\frac{3}{4}x)=132[/tex]
Solving for "x", we get:
[tex]x=(132)(\frac{20}{6})\\\\x=440[/tex]
Therefore, we get that "c" is:
[tex]c=440-\frac{1}{4}(440)-132\\\\c=198[/tex]
