Julian School had 730 students and Dylan School had 30% less students. When an equal number of students joined each school, the ratio of the students in Dylan School to that in Julian School became 4 : 3. How many students were there in both schools in the end?

	Julian School	Dylan School	Difference
Before	730		219
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 Julian School and Dylan School at first and in the end the same. 

Difference between the number of students in both schools at first
= 30% x 730
= ³⁰₁₀₀ x 730
= 219

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

1 u = 219

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 219
= 1533

Answer(s): 1533