In a school, the ratio of adults to the number of children is 4 : 3.
The ratio of the number of girls to the number of boys is 3 : 1.
There are 60 more girls than boys.
How many people are there in the school?
| Adults |
Children |
| 4 x 4 |
3 x 4 |
| |
Girls |
Boys |
| |
3 x 3 |
1 x 3 |
| 16 u |
9 u |
3 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 3 and 4.
LCM of 3 and 4 = 12
Number of more girls than boys
= 9 u - 3 u
= 6 u
6 u = 60
1 u = 60 ÷ 6 = 10
Number of people
= 16 u + 9 u + 3 u
= 28 u
= 28 x 10
= 280
Answer(s): 280
