Luis School had 670 students and Albert School had 40% less students. When an equal number of students joined each school, the ratio of the students in Albert School to that in Luis School became 3 : 2. How many students were there in both schools in the end?

	Luis School	Albert School	Difference
Before	670		268
Change	+ ?	+ ?
After	3 u	2 u	1 u

Since an equal number of students joined 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 Luis School and Albert School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 670
= ⁴⁰₁₀₀ x 670
= 268

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

1 u = 268

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 268
= 1340

Answer(s): 1340