Vincent School had 528 students and Warren School had 25% more students. When an equal number of students left each school, the ratio of the students in Warren School to that in Vincent School became 2 : 1. How many students were there in both schools in the end?
|
Vincent School |
Warren School |
Difference |
Before |
528 |
|
132 |
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 Vincent School and Warren School at first and in the end the same.
Difference between the number of students in both schools at first
= 25% x 528
=
25100 x 528
= 132
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 132
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 132
= 396
Answer(s): 396