Albert School had 450 students and Fabian School had 30% less students. When an equal number of students joined each school, the ratio of the students in Fabian School to that in Albert School became 4 : 3. How many students were there in both schools in the end?

	Albert School	Fabian School	Difference
Before	450		135
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 Albert School and Fabian School at first and in the end the same. 

Difference between the number of students in both schools at first
= 30% x 450
= ³⁰₁₀₀ x 450
= 135

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

1 u = 135

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 135
= 945

Answer(s): 945