Michael School had 580 students and Valen School had 25% more students. When an equal number of students left each school, the ratio of the students in Valen School to that in Michael School became 2 : 1. How many students were there in both schools in the end?

	Michael School	Valen School	Difference
Before	580		145
Change	- ?	- ?
After	2 u	1 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 Michael School and Valen School at first and in the end the same. 

Difference between the number of students in both schools at first
= 25% x 580
= ²⁵₁₀₀ x 580
= 145

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

1 u = 145

Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 145
= 435

Answer(s): 435