Xavier School had 470 students and Simon School had 40% less students. When an equal number of students joined each school, the ratio of the students in Simon School to that in Xavier School became 3 : 2. How many students were there in both schools in the end?

	Xavier School	Simon School	Difference
Before	470		188
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 Xavier School and Simon School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 470
= ⁴⁰₁₀₀ x 470
= 188

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

1 u = 188

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 188
= 940

Answer(s): 940