In a school, the ratio of adults to the number of children is 5 : 6.
The ratio of the number of girls to the number of boys is 5 : 1.
There are 84 more girls than boys.
How many people are there in the school?
| Adults |
Children |
| 5 x 1 |
6 x 1 |
| |
Girls |
Boys |
| |
5 x 1 |
1 x 1 |
| 5 u |
5 u |
1 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 6 and 6.
LCM of 6 and 6 = 6
Number of more girls than boys
= 5 u - 1 u
= 4 u
4 u = 84
1 u = 84 ÷ 4 = 21
Number of people
= 5 u + 5 u + 1 u
= 11 u
= 11 x 21
= 231
Answer(s): 231
