In a school, the ratio of children to the number of adults is 8 : 5.
The ratio of the number of women to the number of men is 4 : 3.
There are 35 more women than men.
How many people are there in the school?
Children |
Adults |
8 x 7 |
5 x 7 |
|
Women |
Men |
|
4 x 5 |
3 x 5 |
56 u |
20 u |
15 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 5 and 7.
LCM of 5 and 7 = 35
Number of more women than men
= 20 u - 15 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of people
= 56 u + 20 u + 15 u
= 91 u
= 91 x 7
= 637
Answer(s): 637