Will School had 788 pupils and Gabriel School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Gabriel School to that in Will School became 3 : 2. How many pupils were there in both schools in the end?
|
Will School |
Gabriel School |
Difference |
Before |
788 |
|
197 |
Change |
- ? |
- ? |
|
After |
3 u |
2 u |
1 u |
Since an equal number of pupils left each school, the difference in the number of pupils at first and in the end between the 2 schools remains the same. Make the difference between the number of pupils in Will School and Gabriel School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 788
=
25100 x 788
= 197
Difference between the number of pupils in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 197
Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 197
= 985
Answer(s): 985