In a school, the ratio of children to the number of adults is 5 : 2.
The ratio of the number of women to the number of men is 5 : 3.
There are 34 more women than men.
How many people are there in the school?
| Children |
Adults |
| 5 x 4 |
2 x 4 |
| |
Women |
Men |
| |
5 x 1 |
3 x 1 |
| 20 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 2 and 8.
LCM of 2 and 8 = 8
Number of more women than men
= 5 u - 3 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Number of people
= 20 u + 5 u + 3 u
= 28 u
= 28 x 17
= 476
Answer(s): 476
