In a school, the ratio of children to the number of adults is 5 : 2.
The ratio of the number of women to the number of men is 5 : 2.
There are 24 more women than men.
How many people are there in the school?
Children |
Adults |
5 x 7 |
2 x 7 |
|
Women |
Men |
|
5 x 2 |
2 x 2 |
35 u |
10 u |
4 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Number of more women than men
= 10 u - 4 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Number of people
= 35 u + 10 u + 4 u
= 49 u
= 49 x 4
= 196
Answer(s): 196