Justin School had 528 pupils and Asher School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Asher School to that in Justin School became 2 : 1. How many pupils were there in both schools in the end?
|
Justin School |
Asher School |
Difference |
Before |
528 |
|
132 |
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 Justin School and Asher School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 528
=
25100 x 528
= 132
Difference between the number of pupils in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 132
Total number of pupils in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 132
= 396
Answer(s): 396