Ahmad School had 795 students and Tim School had 20% more students. When an equal number of students left each school, the ratio of the students in Tim School to that in Ahmad School became 2 : 1. How many students were there in both schools in the end?
|
Ahmad School |
Tim School |
Difference |
Before |
795 |
|
159 |
Change |
- ? |
- ? |
|
After |
2 u |
1 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 Ahmad School and Tim School at first and in the end the same.
Difference between the number of students in both schools at first
= 20% x 795
=
20100 x 795
= 159
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 159
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 159
= 477
Answer(s): 477