In a school, the ratio of adults to the number of children is 3 : 8.
The ratio of the number of girls to the number of boys is 2 : 1.
There are 56 more girls than boys.
How many people are there in the school?
Adults |
Children |
3 x 3 |
8 x 3 |
|
Girls |
Boys |
|
2 x 8 |
1 x 8 |
9 u |
16 u |
8 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 8 and 3.
LCM of 8 and 3 = 24
Number of more girls than boys
= 16 u - 8 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of people
= 9 u + 16 u + 8 u
= 33 u
= 33 x 7
= 231
Answer(s): 231