In a school, the ratio of adults to the number of children is 9 : 1.
The ratio of the number of girls to the number of boys is 5 : 3.
There are 24 more girls than boys.
How many people are there in the school?
Adults |
Children |
9 x 8 |
1 x 8 |
|
Girls |
Boys |
|
5 x 1 |
3 x 1 |
72 u |
5 u |
3 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 1 and 8.
LCM of 1 and 8 = 8
Number of more girls than boys
= 5 u - 3 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of people
= 72 u + 5 u + 3 u
= 80 u
= 80 x 12
= 960
Answer(s): 960