In a school, the ratio of adults to the number of children is 7 : 6.
The ratio of the number of girls to the number of boys is 7 : 5.
There are 46 more girls than boys.
How many people are there in the school?
Adults |
Children |
7 x 2 |
6 x 2 |
|
Girls |
Boys |
|
7 x 1 |
5 x 1 |
14 u |
7 u |
5 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 6 and 12.
LCM of 6 and 12 = 12
Number of more girls than boys
= 7 u - 5 u
= 2 u
2 u = 46
1 u = 46 ÷ 2 = 23
Number of people
= 14 u + 7 u + 5 u
= 26 u
= 26 x 23
= 598
Answer(s): 598