Luke School had 375 students and Eric School had 20% more students. When an equal number of students left each school, the ratio of the students in Eric School to that in Luke School became 3 : 2. How many students were there in both schools in the end?

	Luke School	Eric School	Difference
Before	375		75
Change	- ?	- ?
After	3 u	2 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 Eric School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 375
= ²⁰₁₀₀ x 375
= 75

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

1 u = 75

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 75
= 375

Answer(s): 375