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 : 3.
There are 96 more women than men.
How many people are there in the school?
Children |
Adults |
3 x 10 |
1 x 10 |
|
Women |
Men |
|
7 x 1 |
3 x 1 |
30 u |
7 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 10.
LCM of 1 and 10 = 10
Number of more women than men
= 7 u - 3 u
= 4 u
4 u = 96
1 u = 96 ÷ 4 = 24
Number of people
= 30 u + 7 u + 3 u
= 40 u
= 40 x 24
= 960
Answer(s): 960