Charlie School had 395 students and Rael School had 40% less students. When an equal number of students joined each school, the ratio of the students in Rael School to that in Charlie School became 5 : 4. How many students were there in both schools in the end?

	Charlie School	Rael School	Difference
Before	395		158
Change	+ ?	+ ?
After	5 u	4 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 Charlie School and Rael School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 395
= ⁴⁰₁₀₀ x 395
= 158

Difference between the number of students in both schools in the end
= 5 u - 4 u
= 1 u

1 u = 158

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 158
= 1422

Answer(s): 1422