Flynn School had 580 students and Luke School had 30% more students. When an equal number of students left each school, the ratio of the students in Luke School to that in Flynn School became 3 : 2. How many students were there in both schools in the end?

	Flynn School	Luke School	Difference
Before	580		174
Change	- ?	- ?
After	3 u	2 u	1 u

Since an equal number of students left 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 Flynn School and Luke School at first and in the end the same. 

Difference between the number of students in both schools at first
= 30% x 580
= ³⁰₁₀₀ x 580
= 174

Difference between the number of students in both schools in the end
= 3 u - 2 u
= 1 u

1 u = 174

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 174
= 870

Answer(s): 870