In a school, the ratio of children to the number of adults is 9 : 5.
The ratio of the number of women to the number of men is 6 : 5.
There are 45 more women than men.
How many people are there in the school?
| Children |
Adults |
| 9 x 11 |
5 x 11 |
| |
Women |
Men |
| |
6 x 5 |
5 x 5 |
| 99 u |
30 u |
25 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 5 and 11.
LCM of 5 and 11 = 55
Number of more women than men
= 30 u - 25 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of people
= 99 u + 30 u + 25 u
= 154 u
= 154 x 9
= 1386
Answer(s): 1386
