In a school, the ratio of children to the number of adults is 5 : 2.
The ratio of the number of men to the number of women is 7 : 5.
There are 28 more men than women.
How many people are there in the school?
| Children |
Adults |
| 5 x 6 |
2 x 6 |
| |
Men |
Women |
| |
7 x 1 |
5 x 1 |
| 30 u |
7 u |
5 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 2 and 12.
LCM of 2 and 12 = 12
Number of more men than women
= 7 u - 5 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of people
= 30 u + 7 u + 5 u
= 42 u
= 42 x 14
= 588
Answer(s): 588
