In a school, the ratio of children to the number of adults is 5 : 4.
The ratio of the number of women to the number of men is 7 : 6.
There are 16 less men than women.
How many people are there in the school?
Children |
Adults |
5 x 13 |
4 x 13 |
|
Women |
Men |
|
7 x 4 |
6 x 4 |
65 u |
28 u |
24 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 4 and 13.
LCM of 4 and 13 = 52
Number of less men than women
= 28 u - 24 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Number of people
= 65 u + 28 u + 24 u
= 117 u
= 117 x 4
= 468
Answer(s): 468