Vincent School had 664 pupils and Fred School had 25% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Fred School to that in Vincent School became 5 : 4. How many pupils were there in both schools in the end?
|
Vincent School |
Fred School |
Difference |
Before |
664 |
|
166 |
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 Vincent School and Fred School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 25% x 664
=
25100 x 664
= 166
Difference between the number of pupils in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 166
Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 166
= 1494
Answer(s): 1494