In a school, the ratio of adults to the number of children is 4 : 3.
The ratio of the number of boys to the number of girls is 6 : 5.
There are 15 more boys than girls.
How many people are there in the school?
Adults |
Children |
4 x 11 |
3 x 11 |
|
Boys |
Girls |
|
6 x 3 |
5 x 3 |
44 u |
18 u |
15 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 3 and 11.
LCM of 3 and 11 = 33
Number of more boys than girls
= 18 u - 15 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of people
= 44 u + 18 u + 15 u
= 77 u
= 77 x 5
= 385
Answer(s): 385