Wesley School had 604 students and Bryan School had 25% less students. When an equal number of students joined each school, the ratio of the students in Bryan School to that in Wesley School became 5 : 4. How many students were there in both schools in the end?
|
Wesley School |
Bryan School |
Difference |
Before |
604 |
|
151 |
Change |
+ ? |
+ ? |
|
After |
5 u |
4 u |
1 u |
Since an equal number of students joined 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 Wesley School and Bryan School at first and in the end the same.
Difference between the number of students in both schools at first
= 25% x 604
=
25100 x 604
= 151
Difference between the number of students in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 151
Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 151
= 1359
Answer(s): 1359