Peter School had 465 students and Wesley School had 20% more students. When an equal number of students left each school, the ratio of the students in Wesley School to that in Peter School became 3 : 2. How many students were there in both schools in the end?
|
Peter School |
Wesley School |
Difference |
Before |
465 |
|
93 |
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 Peter School and Wesley School at first and in the end the same.
Difference between the number of students in both schools at first
= 20% x 465
=
20100 x 465
= 93
Difference between the number of students in both schools in the end
= 3 u - 2 u
= 1 u
1 u = 93
Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 93
= 465
Answer(s): 465