In a school, the ratio of adults to the number of children is 1 : 8.
The ratio of the number of boys to the number of girls is 6 : 5.
There are 56 less girls than boys.
How many people are there in the school?
| Adults |
Children |
| 1 x 11 |
8 x 11 |
| |
Boys |
Girls |
| |
6 x 8 |
5 x 8 |
| 11 u |
48 u |
40 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 8 and 11.
LCM of 8 and 11 = 88
Number of less girls than boys
= 48 u - 40 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of people
= 11 u + 48 u + 40 u
= 99 u
= 99 x 7
= 693
Answer(s): 693
