Harry School had 485 pupils and Bryan School had 20% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Bryan School to that in Harry School became 3 : 2. How many pupils were there in both schools in the end?
|
Harry School |
Bryan School |
Difference |
Before |
485 |
|
97 |
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 Harry School and Bryan School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 20% x 485
=
20100 x 485
= 97
Difference between the number of pupils in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 97
Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 97
= 485
Answer(s): 485