In a school, the ratio of children to the number of adults is 5 : 9.
The ratio of the number of men to the number of women is 6 : 5.
There are 45 less women than men.
How many people are there in the school?
Children |
Adults |
5 x 11 |
9 x 11 |
|
Men |
Women |
|
6 x 9 |
5 x 9 |
55 u |
54 u |
45 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 9 and 11.
LCM of 9 and 11 = 99
Number of less women than men
= 54 u - 45 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of people
= 55 u + 54 u + 45 u
= 154 u
= 154 x 5
= 770
Answer(s): 770