# math

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?

1. 👍 0
2. 👎 0
3. 👁 1,596
1. 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.

1. 👍 3
2. 👎 2
2. ilove cats

1. 👍 2
2. 👎 2
3. 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

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Statistic

Heights of adult men have a mean of 69.0 inches and a standard deviation of 2.8 inches. Approximately what percentage of adult men have a height between 66.2 and 77.4 inches? Must show the number and the empirical rule

2. ### Social Studies

Which of the following best describes the rights of men and women in ancient Jewish society? Select all that apply. A. Both men and women could buy and sell land. B. Both men and women could take cases to court. C. Men could marry

3. ### Social Studies

Which of the following best describes the rights of men and women in ancient Jewish society? Select all that apply. A. Both men and women could buy and sell land. B. also my answer Both men and women could take cases to court. C.

4. ### math

1 . Kyle has \$4 more than twice as much money as Lana. Lana has x dollars. Kyle does not have enough money to buy a video game that costs \$56, but he has enough money to buy a textbook that cost \$38. A. Write a compound inequality

1. ### PROBABILITY MATH

From a group of 3 men and 4 women, a delegation of 2 is selected at random. What is the expected number of men in the delegation? Round your answers to two decimal places as needed. Could someone help me with how to do this?

2. ### Pre-Algebra

The ratio of men to women at a lecture is 2 to 5. A total of 63 people are at the lecture. How many are men? Explain how you found your answer,

3. ### math(epidemiology)

A population of 100 healthy men was followed for the development of prostate cancer. After being followed for 5 years, 20 men developed prostate cancer. Ten other men were followed for 1 year and then were lost to follow-up. The

4. ### Algebra (Normal Distribution)

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is about

1. ### Algebra 1 (Reiny or Kuai)

1. At a chili cook-off, people pay a \$3.00 entrance fee and \$0.50 for each bowl of chili they taste. The graph shows the total cost per person as a function of the number of bowls of chili tasted. a. Write a rule that gives the

2. ### General Education

Only circus animals with a clean bill of health will perform in today’s exhibition. A monkey, a poodle, and a horse will perform in today’s exhibition. No circus animals with a clean bill of health were prescribed medications

3. ### Math

In a group of m men, b men earn D dollars per week and the rest earn half that amount each. Represent the total number of dollars paid to these men in a week. P.S. Whenever i try solving this problem i get 3/2D(b+m) Could you