Seth School had 355 pupils and Fabian School had 20% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Fabian School to that in Seth School became 3 : 2. How many pupils were there in both schools in the end?
|
Seth School |
Fabian School |
Difference |
Before |
355 |
|
71 |
Change |
- ? |
- ? |
|
After |
3 u |
2 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 Seth School and Fabian School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 20% x 355
=
20100 x 355
= 71
Difference between the number of pupils in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 71
Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 71
= 355
Answer(s): 355