Ivan School had 600 students and Asher School had 30% less students. When an equal number of students joined each school, the ratio of the students in Asher School to that in Ivan School became 4 : 3. How many students were there in both schools in the end?

	Ivan School	Asher School	Difference
Before	600		180
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 Ivan School and Asher School at first and in the end the same. 

Difference between the number of students in both schools at first
= 30% x 600
= ³⁰₁₀₀ x 600
= 180

Difference between the number of students in both schools in the end
= 4 u - 3 u
= 1 u

1 u = 180

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 180
= 1260

Answer(s): 1260