Cole School had 800 pupils and Justin School had 25% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Justin School to that in Cole School became 5 : 4. How many pupils were there in both schools in the end?
|
Cole School |
Justin School |
Difference |
Before |
800 |
|
200 |
Change |
+ ? |
+ ? |
|
After |
5 u |
4 u |
1 u |
Since an equal number of pupils joined 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 Cole School and Justin School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 800
=
25100 x 800
= 200
Difference between the number of pupils in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 200
Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 200
= 1800
Answer(s): 1800