Caden School had 555 students and Reggie School had 40% less students. When an equal number of students joined each school, the ratio of the students in Reggie School to that in Caden School became 3 : 2. How many students were there in both schools in the end?

	Caden School	Reggie School	Difference
Before	555		222
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 Caden School and Reggie School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 555
= ⁴⁰₁₀₀ x 555
= 222

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

1 u = 222

Total number of students in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 222
= 1110

Answer(s): 1110