In a school, the ratio of children to the number of adults is 3 : 2.
The ratio of the number of men to the number of women is 4 : 3.
There are 80 less women than men.
How many people are there in the school?
Children |
Adults |
3 x 7 |
2 x 7 |
|
Men |
Women |
|
4 x 2 |
3 x 2 |
21 u |
8 u |
6 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Number of less women than men
= 8 u - 6 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Number of people
= 21 u + 8 u + 6 u
= 35 u
= 35 x 40
= 1400
Answer(s): 1400