Of total number of spectators at a circus show 1/4 are men. 2/5 of the remaining number of spectators are woman
Accepted Solution
A:
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 = 132Number of children = Total - Men - Women = 440 - 110 - 132 = 198Therefore, the number of children at circus show is 198.