In a school, the ratio of children to the number of adults is 3 : 1.
The ratio of the number of women to the number of men is 7 : 5.
There are 16 more women than men.
How many people are there in the school?
| Children |
Adults |
| 3 x 12 |
1 x 12 |
| |
Women |
Men |
| |
7 x 1 |
5 x 1 |
| 36 u |
7 u |
5 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 1 and 12.
LCM of 1 and 12 = 12
Number of more women than men
= 7 u - 5 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of people
= 36 u + 7 u + 5 u
= 48 u
= 48 x 8
= 384
Answer(s): 384
