In a school, the ratio of children to the number of adults is 6 : 7.
The ratio of the number of men to the number of women is 2 : 1.
There are 63 less women than men.
How many people are there in the school?
| Children |
Adults |
| 6 x 3 |
7 x 3 |
| |
Men |
Women |
| |
2 x 7 |
1 x 7 |
| 18 u |
14 u |
7 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 7 and 3.
LCM of 7 and 3 = 21
Number of less women than men
= 14 u - 7 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of people
= 18 u + 14 u + 7 u
= 39 u
= 39 x 9
= 351
Answer(s): 351
