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Of the total number of spectators at a circus, 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?

3 answers

let total spectators be x
1/4 of them are men , leaving 3/4 x women and children
(2/5)(3/4)x = 132
(3/10)x = 132
3x = 1320
x = 440

so 1/4 of 440 are men = 110
women = 132
so far we have 242
leaving 440-242 or 198 children

check:
total = 440
men = (2/5)(44) = 110
leaving 330 women and children
(2/5) of 330 = 132

all is good!
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198