In a school, the ratio of children to the number of adults is 5 : 4.
The ratio of the number of men to the number of women is 5 : 3.
There are 100 more men than women.
How many people are there in the school?
| Children |
Adults |
| 5 x 2 |
4 x 2 |
| |
Men |
Women |
| |
5 x 1 |
3 x 1 |
| 10 u |
5 u |
3 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Number of more men than women
= 5 u - 3 u
= 2 u
2 u = 100
1 u = 100 ÷ 2 = 50
Number of people
= 10 u + 5 u + 3 u
= 18 u
= 18 x 50
= 900
Answer(s): 900
