In a school, the ratio of adults to the number of children is 6 : 1.
The ratio of the number of boys to the number of girls is 7 : 3.
There are 24 less girls than boys.
How many people are there in the school?
Adults |
Children |
6 x 10 |
1 x 10 |
|
Boys |
Girls |
|
7 x 1 |
3 x 1 |
60 u |
7 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 10.
LCM of 1 and 10 = 10
Number of less girls than boys
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of people
= 60 u + 7 u + 3 u
= 70 u
= 70 x 6
= 420
Answer(s): 420