In a school, the ratio of adults to the number of children is 9 : 2.
The ratio of the number of girls to the number of boys is 4 : 3.
There are 44 more girls than boys.
How many people are there in the school?
Adults |
Children |
9 x 7 |
2 x 7 |
|
Girls |
Boys |
|
4 x 2 |
3 x 2 |
63 u |
8 u |
6 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 2 and 7.
LCM of 2 and 7 = 14
Number of more girls than boys
= 8 u - 6 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of people
= 63 u + 8 u + 6 u
= 77 u
= 77 x 22
= 1694
Answer(s): 1694