In a school, the ratio of adults to the number of children is 1 : 2.
The ratio of the number of boys to the number of girls is 7 : 1.
There are 96 less girls than boys.
How many people are there in the school?
Adults |
Children |
1 x 4 |
2 x 4 |
|
Boys |
Girls |
|
7 x 1 |
1 x 1 |
4 u |
7 u |
1 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 2 and 8.
LCM of 2 and 8 = 8
Number of less girls than boys
= 7 u - 1 u
= 6 u
6 u = 96
1 u = 96 ÷ 6 = 16
Number of people
= 4 u + 7 u + 1 u
= 12 u
= 12 x 16
= 192
Answer(s): 192