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?

5 answers

let the total be x
(x = men+women+children)

1/4 of x are men, so (3/4)x is made up women and children
but (2/5)((3/4)x = 132
(3/10)x = 132
3x = 1320
x = 440

so the total was 440, of which 110 were men, and 132 were women,
leaving 198 children

check my arithmetic and my thinking.
ilove cats
Ignore 1/4 spectators, question is asking for remaining spectators.
Remaining spectators = Women (W) + children (C)
> Women = 2/5 of remaining spectators
> Children = 1 - (2/5) = 3/5
> 2/5 ------------>132
3/5 ------------>C
> Cross multiply:
2/5 x C = 3/5 x 132
C = (3/5 x 132)(5/2) :2/5 becomes 5/2 the other side to cancel out
= (15/10)132
= (3/2)132
= 3(66)
=198 Children
if 2/5 were women, then 3/5 of the remainder were children.
there were 132 women and that is equal to 2 units, so 132 ÷ 2= 66
66 is 1 unit, or 1 unit = 66
children=3 units so : 66 x 5 = 330.
there were 330 children.
You can draw a model to visualize everything.
lol I’m 10 and needed help on homework thanks guys