In a school, the ratio of adults to the number of children is 5 : 6.
The ratio of the number of boys to the number of girls is 8 : 1.
There are 14 less girls than boys.
How many people are there in the school?
Adults |
Children |
5 x 3 |
6 x 3 |
|
Boys |
Girls |
|
8 x 2 |
1 x 2 |
15 u |
16 u |
2 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 6 and 9.
LCM of 6 and 9 = 18
Number of less girls than boys
= 16 u - 2 u
= 14 u
14 u = 14
1 u = 14 ÷ 14 = 1
Number of people
= 15 u + 16 u + 2 u
= 33 u
= 33 x 1
= 33
Answer(s): 33