Ethan School had 680 students and Caden School had 40% more students. When an equal number of students left each school, the ratio of the students in Caden School to that in Ethan School became 2 : 1. How many students were there in both schools in the end?

	Ethan School	Caden School	Difference
Before	680		272
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 Ethan School and Caden School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 680
= ⁴⁰₁₀₀ x 680
= 272

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

1 u = 272

Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 272
= 816

Answer(s): 816