In a school, the ratio of children to the number of adults is 3 : 4.
The ratio of the number of women to the number of men is 5 : 1.
There are 64 more women than men.
How many people are there in the school?
Children |
Adults |
3 x 3 |
4 x 3 |
|
Women |
Men |
|
5 x 2 |
1 x 2 |
9 u |
10 u |
2 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 4 and 6.
LCM of 4 and 6 = 12
Number of more women than men
= 10 u - 2 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of people
= 9 u + 10 u + 2 u
= 21 u
= 21 x 8
= 168
Answer(s): 168