Oliver School had 490 students and Reggie School had 10% more students. When an equal number of students left each school, the ratio of the students in Reggie School to that in Oliver School became 3 : 2. How many students were there in both schools in the end?
|
Oliver School |
Reggie School |
Difference |
Before |
490 |
|
49 |
Change |
- ? |
- ? |
|
After |
3 u |
2 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 Oliver School and Reggie School at first and in the end the same.
Difference between the number of students in both schools at first
= 10% x 490
=
10100 x 490
= 49
Difference between the number of students in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 49
Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 49
= 245
Answer(s): 245