Ahmad School had 756 pupils and Will School had 25% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Will School to that in Ahmad School became 5 : 4. How many pupils were there in both schools in the end?
|
Ahmad School |
Will School |
Difference |
Before |
756 |
|
189 |
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 Ahmad School and Will School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 756
=
25100 x 756
= 189
Difference between the number of pupils in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 189
Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 189
= 1701
Answer(s): 1701