In a school, the ratio of children to the number of adults is 2 : 7.
The ratio of the number of women to the number of men is 7 : 6.
There are 84 more women than men.
How many people are there in the school?
Children |
Adults |
2 x 13 |
7 x 13 |
|
Women |
Men |
|
7 x 7 |
6 x 7 |
26 u |
49 u |
42 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 7 and 13.
LCM of 7 and 13 = 91
Number of more women than men
= 49 u - 42 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of people
= 26 u + 49 u + 42 u
= 117 u
= 117 x 12
= 1404
Answer(s): 1404