Respuesta :
Answer:
Men = 110, Children = 198.
Step-by-step 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 = [tex]\frac{3}{4}x[/tex]
2/5 of the remaining number of spectators are women
[tex]Women=\frac{3}{4}x\times \frac{2}{5}=\frac{3}{10}x[/tex]
132 women at the circus show.
[tex]\frac{3}{10}x=132[/tex]
[tex]3x=1320[/tex]
Divide both sides by 3.
[tex]x=\frac{1320}{3}=440[/tex]
Total number of spectators is 440.
Number of men = [tex]440\times \frac{1}{4}=110[/tex]
Number of women = 132
Number of children = Total - Men - Women
= 440 - 110 - 132
= 198
Therefore, the number of children at circus show is 198.