Lee School had 425 students and Elijah School had 40% less students. When an equal number of students joined each school, the ratio of the students in Elijah School to that in Lee School became 5 : 4. How many students were there in both schools in the end?

	Lee School	Elijah School	Difference
Before	425		170
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 Lee School and Elijah School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 425
= ⁴⁰₁₀₀ x 425
= 170

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

1 u = 170

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 170
= 1530

Answer(s): 1530