Owen School had 485 students and Nick School had 20% more students. When an equal number of students left each school, the ratio of the students in Nick School to that in Owen School became 3 : 2. How many students were there in both schools in the end?

	Owen School	Nick School	Difference
Before	485		97
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 Owen School and Nick School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 485
= ²⁰₁₀₀ x 485
= 97

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

1 u = 97

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 97
= 485

Answer(s): 485