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 3 : 1.
There are 14 more men than women.
How many people are there in the school?
Children |
Adults |
6 x 4 |
7 x 4 |
|
Men |
Women |
|
3 x 7 |
1 x 7 |
24 u |
21 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 4.
LCM of 7 and 4 = 28
Number of more men than women
= 21 u - 7 u
= 14 u
14 u = 14
1 u = 14 ÷ 14 = 1
Number of people
= 24 u + 21 u + 7 u
= 52 u
= 52 x 1
= 52
Answer(s): 52