Lee School had 495 students and Reggie School had 40% more students. When an equal number of students left each school, the ratio of the students in Reggie School to that in Lee School became 2 : 1. How many students were there in both schools in the end?
|
Lee School |
Reggie School |
Difference |
Before |
495 |
|
198 |
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 Lee School and Reggie School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 495
=
40100 x 495
= 198
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 198
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 198
= 594
Answer(s): 594