Fabian School had 396 pupils and Rael School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Rael School to that in Fabian School became 2 : 1. How many pupils were there in both schools in the end?
|
Fabian School |
Rael School |
Difference |
Before |
396 |
|
99 |
Change |
- ? |
- ? |
|
After |
2 u |
1 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 Fabian School and Rael School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 396
=
25100 x 396
= 99
Difference between the number of pupils in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 99
Total number of pupils in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 99
= 297
Answer(s): 297