Warren School had 800 students and Sam School had 40% less students. When an equal number of students joined each school, the ratio of the students in Sam School to that in Warren School became 4 : 3. How many students were there in both schools in the end?
|
Warren School |
Sam School |
Difference |
Before |
800 |
|
320 |
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 Warren School and Sam School at first and in the end the same.
Difference between the number of students in both schools at first
= 40% x 800
=
40100 x 800
= 320
Difference between the number of students in both schools in the end
= 4 u - 3 u
= 1 u
1 u = 320
Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 320
= 2240
Answer(s): 2240