Warren School had 490 students and Oliver School had 40% more students. When an equal number of students left each school, the ratio of the students in Oliver School to that in Warren School became 2 : 1. How many students were there in both schools in the end?
|
Warren School |
Oliver School |
Difference |
Before |
490 |
|
196 |
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 Warren School and Oliver School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 490
=
40100 x 490
= 196
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 196
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 196
= 588
Answer(s): 588