In a school, the ratio of children to the number of adults is 8 : 7.
The ratio of the number of women to the number of men is 6 : 5.
There are 91 less men than women.
How many people are there in the school?
| Children |
Adults |
| 8 x 11 |
7 x 11 |
| |
Women |
Men |
| |
6 x 7 |
5 x 7 |
| 88 u |
42 u |
35 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 7 and 11.
LCM of 7 and 11 = 77
Number of less men than women
= 42 u - 35 u
= 7 u
7 u = 91
1 u = 91 ÷ 7 = 13
Number of people
= 88 u + 42 u + 35 u
= 165 u
= 165 x 13
= 2145
Answer(s): 2145
