Rael School had 645 students and Brandon School had 40% less students. When an equal number of students joined each school, the ratio of the students in Brandon School to that in Rael School became 4 : 3. How many students were there in both schools in the end?

	Rael School	Brandon School	Difference
Before	645		258
Change	+ ?	+ ?
After	4 u	3 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 Rael School and Brandon School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 645
= ⁴⁰₁₀₀ x 645
= 258

Difference between the number of students in both schools in the end
= 4 u - 3 u
= 1 u

1 u = 258

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 258
= 1806

Answer(s): 1806