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.
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
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
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.
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