Fred School had 355 students and Reggie School had 20% more students. When an equal number of students left each school, the ratio of the students in Reggie School to that in Fred School became 3 : 2. How many students were there in both schools in the end?

	Fred School	Reggie School	Difference
Before	355		71
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 Fred School and Reggie School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 355
= ²⁰₁₀₀ x 355
= 71

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

1 u = 71

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 71
= 355

Answer(s): 355