Rael School had 320 students and Oliver School had 40% less students. When an equal number of students joined each school, the ratio of the students in Oliver School to that in Rael School became 4 : 3. How many students were there in both schools in the end?
|
Rael School |
Oliver School |
Difference |
Before |
320 |
|
128 |
Change |
+ ? |
+ ? |
|
After |
4 u |
3 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 Rael School and Oliver School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 320
=
40100 x 320
= 128
Difference between the number of students in both schools in the end
= 4 u - 3 u
= 1 u
1 u = 128
Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 128
= 896
Answer(s): 896