In a school, the ratio of children to the number of adults is 9 : 1.
The ratio of the number of women to the number of men is 5 : 3.
There are 54 more women than men.
How many people are there in the school?
Children |
Adults |
9 x 8 |
1 x 8 |
|
Women |
Men |
|
5 x 1 |
3 x 1 |
72 u |
5 u |
3 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 1 and 8.
LCM of 1 and 8 = 8
Number of more women than men
= 5 u - 3 u
= 2 u
2 u = 54
1 u = 54 ÷ 2 = 27
Number of people
= 72 u + 5 u + 3 u
= 80 u
= 80 x 27
= 2160
Answer(s): 2160