In a school, the ratio of children to the number of adults is 7 : 8.
The ratio of the number of women to the number of men is 7 : 5.
There are 48 less men than women.
How many people are there in the school?
Children |
Adults |
7 x 3 |
8 x 3 |
|
Women |
Men |
|
7 x 2 |
5 x 2 |
21 u |
14 u |
10 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 8 and 12.
LCM of 8 and 12 = 24
Number of less men than women
= 14 u - 10 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Number of people
= 21 u + 14 u + 10 u
= 45 u
= 45 x 12
= 540
Answer(s): 540