Nick School had 472 pupils and Dylan School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Dylan School to that in Nick School became 2 : 1. How many pupils were there in both schools in the end?
|
Nick School |
Dylan School |
Difference |
Before |
472 |
|
118 |
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 Nick School and Dylan School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 472
=
25100 x 472
= 118
Difference between the number of pupils in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 118
Total number of pupils in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 118
= 354
Answer(s): 354