There are 10 men to 12 women and 10 women to 15 children. What is the ratio of men to children then!?
m/w = 10/12
so w = 12 m/10
then
w/c = 10/15
12 m /10 / c = 10/15
12 m/c = 100/15 = 20/3
m/c = 20/36 = 5/9
To find the ratio of men to children, we need to compare the number of men to the number of children. Given the information provided, we can start by determining the number of men and the number of children individually.
Given:
- Men: 10
- Women: 12
- Women to Children ratio: 10:15
First, we need to find the total number of women. Since the ratio of women to children is 10:15, we can set up a proportion:
10 women / 15 children = 12 women / x
Cross-multiplying, we get:
10x = 15 * 12
10x = 180
x = 180 / 10
x = 18
So, the total number of children is 18.
Now we can compare the number of men to the number of children:
Men: 10
Children: 18
The ratio of men to children is then:
10:18
To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 2:
10 ÷ 2 : 18 ÷ 2
5 : 9
Therefore, the ratio of men to children is 5:9.