In a school, the ratio of children to the number of adults is 2 : 3.
The ratio of the number of men to the number of women is 3 : 1.
There are 18 less women than men.
How many people are there in the school?
| Children |
Adults |
| 2 x 4 |
3 x 4 |
| |
Men |
Women |
| |
3 x 3 |
1 x 3 |
| 8 u |
9 u |
3 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 3 and 4.
LCM of 3 and 4 = 12
Number of less women than men
= 9 u - 3 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Number of people
= 8 u + 9 u + 3 u
= 20 u
= 20 x 3
= 60
Answer(s): 60
