In a school, the ratio of adults to the number of children is 6 : 5.
The ratio of the number of girls to the number of boys is 5 : 4.
There are 45 more girls than boys.
How many people are there in the school?
Adults |
Children |
6 x 9 |
5 x 9 |
|
Girls |
Boys |
|
5 x 5 |
4 x 5 |
54 u |
25 u |
20 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 5 and 9.
LCM of 5 and 9 = 45
Number of more girls than boys
= 25 u - 20 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of people
= 54 u + 25 u + 20 u
= 99 u
= 99 x 9
= 891
Answer(s): 891