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 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

lol I’m 10 and needed help on homework thanks guys

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

To find the number of children at the circus show, we need to break down the problem step by step:

Step 1: Let's find the total number of women at the circus show.
We know that 2/5 of the remaining spectators after removing the men are women. Let's represent the total number of spectators as "x".
So, the number of remaining spectators after removing the men would be (3/4)*x, as 1/4 of the total number are men.
Therefore, (2/5)*[(3/4)*x] = 132.
Simplifying this equation, we get: (3/5)*x = 132.

Step 2: Calculate the total number of spectators.
To find the value of "x," we need to solve the equation (3/5)*x = 132 for "x."
Multiplying both sides of the equation by (5/3), we get: x = (132 * 5) / 3.
Evaluating the expression, x = 220.

Step 3: Find the number of children at the circus show.
Now that we have the total number of spectators (x = 220), and we know that 1/4 of them are men, and 132 are women, we can subtract the number of men and women from the total to find the number of children.
The number of men = (1/4) * 220 = 55.
The number of women = 132.
Therefore, the number of children = 220 - 55 - 132 = 33.

Therefore, there are 33 children at the circus show.

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.