In a school, the ratio of children to the number of adults is 1 : 3.
The ratio of the number of women to the number of men is 6 : 5.
There are 54 more women than men.
How many people are there in the school?
Children |
Adults |
1 x 11 |
3 x 11 |
|
Women |
Men |
|
6 x 3 |
5 x 3 |
11 u |
18 u |
15 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 3 and 11.
LCM of 3 and 11 = 33
Number of more women than men
= 18 u - 15 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Number of people
= 11 u + 18 u + 15 u
= 44 u
= 44 x 18
= 792
Answer(s): 792