In a school, the ratio of children to the number of adults is 5 : 3.
The ratio of the number of women to the number of men is 7 : 5.
There are 94 less men than women.
How many people are there in the school?
Children |
Adults |
5 x 4 |
3 x 4 |
|
Women |
Men |
|
7 x 1 |
5 x 1 |
20 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 3 and 12.
LCM of 3 and 12 = 12
Number of less men than women
= 7 u - 5 u
= 2 u
2 u = 94
1 u = 94 ÷ 2 = 47
Number of people
= 20 u + 7 u + 5 u
= 32 u
= 32 x 47
= 1504
Answer(s): 1504