In a school, the ratio of adults to the number of children is 3 : 7.
The ratio of the number of boys to the number of girls is 8 : 7.
There are 14 less girls than boys.
How many people are there in the school?
| Adults |
Children |
| 3 x 15 |
7 x 15 |
| |
Boys |
Girls |
| |
8 x 7 |
7 x 7 |
| 45 u |
56 u |
49 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 7 and 15.
LCM of 7 and 15 = 105
Number of less girls than boys
= 56 u - 49 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of people
= 45 u + 56 u + 49 u
= 150 u
= 150 x 2
= 300
Answer(s): 300
