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.

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