Flynn School had 360 students and Xavier School had 30% more students. When an equal number of students left each school, the ratio of the students in Xavier School to that in Flynn School became 2 : 1. How many students were there in both schools in the end?
|
Flynn School |
Xavier School |
Difference |
Before |
360 |
|
108 |
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 Flynn School and Xavier School at first and in the end the same.
Difference between the number of students in both schools at first
= 30% x 360
=
30100 x 360
= 108
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 108
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 108
= 324
Answer(s): 324