Seth School had 790 pupils and Harry School had 30% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Harry School to that in Seth School became 4 : 3. How many pupils were there in both schools in the end?
|
Seth School |
Harry School |
Difference |
Before |
790 |
|
237 |
Change |
+ ? |
+ ? |
|
After |
4 u |
3 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 Seth School and Harry School at first and in the end the same.
Difference between the number of pupils in both schools at first
= 30% x 790
=
30100 x 790
= 237
Difference between the number of pupils in both schools in the end
= 4 u - 3 u
= 1 u
1 u = 237
Total number of pupils in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 237
= 1659
Answer(s): 1659