Valen School had 365 students and Asher School had 40% less students. When an equal number of students joined each school, the ratio of the students in Asher School to that in Valen School became 5 : 4. How many students were there in both schools in the end?
|
Valen School |
Asher School |
Difference |
Before |
365 |
|
146 |
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 Valen School and Asher School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 365
=
40100 x 365
= 146
Difference between the number of students in both schools in the end
= 5 u - 4 u
= 1 u
1 u = 146
Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 146
= 1314
Answer(s): 1314