Rael School had 760 students and Ethan School had 10% more students. When an equal number of students left each school, the ratio of the students in Ethan School to that in Rael School became 2 : 1. How many students were there in both schools in the end?

	Rael School	Ethan School	Difference
Before	760		76
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 Rael School and Ethan School at first and in the end the same. 

Difference between the number of students in both schools at first
= 10% x 760
= ¹⁰₁₀₀ x 760
= 76

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

1 u = 76

Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 76
= 228

Answer(s): 228