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: 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]