In a school, the ratio of children to the number of adults is 1 : 2.
The ratio of the number of women to the number of men is 6 : 5.
There are 96 less men than women.
How many people are there in the school?
Children |
Adults |
1 x 11 |
2 x 11 |
|
Women |
Men |
|
6 x 2 |
5 x 2 |
11 u |
12 u |
10 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 2 and 11.
LCM of 2 and 11 = 22
Number of less men than women
= 12 u - 10 u
= 2 u
2 u = 96
1 u = 96 ÷ 2 = 48
Number of people
= 11 u + 12 u + 10 u
= 33 u
= 33 x 48
= 1584
Answer(s): 1584