Luke School had 635 students and Zane School had 20% more students. When an equal number of students left each school, the ratio of the students in Zane School to that in Luke School became 2 : 1. How many students were there in both schools in the end?

	Luke School	Zane School	Difference
Before	635		127
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 Luke School and Zane School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 635
= ²⁰₁₀₀ x 635
= 127

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

1 u = 127

Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 127
= 381

Answer(s): 381