Asher School had 408 students and Gabriel School had 25% more students. When an equal number of students left each school, the ratio of the students in Gabriel School to that in Asher School became 3 : 2. How many students were there in both schools in the end?
|
Asher School |
Gabriel School |
Difference |
Before |
408 |
|
102 |
Change |
- ? |
- ? |
|
After |
3 u |
2 u |
1 u |
Since an equal number of students left each school, the difference in the number of students at first and in the end between the 2 schools remains the same. Make the difference between the number of students in Asher School and Gabriel School at first and in the end the same.
Difference between the number of students in both schools at first
= 25% x 408
=
25100 x 408
= 102
Difference between the number of students in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 102
Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 102
= 510
Answer(s): 510