Luis School had 590 students and Flynn School had 20% more students. When an equal number of students left each school, the ratio of the students in Flynn School to that in Luis School became 2 : 1. How many students were there in both schools in the end?
|
Luis School |
Flynn School |
Difference |
Before |
590 |
|
118 |
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 Luis School and Flynn School at first and in the end the same.
Difference between the number of students in both schools at first
= 20% x 590
=
20100 x 590
= 118
Difference between the number of students in both schools in the end
= 2 u - 1 u
= 1 u
1 u = 118
Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 118
= 354
Answer(s): 354