Julian School had 750 students and Jack School had 40% less students. When an equal number of students joined each school, the ratio of the students in Jack School to that in Julian School became 5 : 4. How many students were there in both schools in the end?

	Julian School	Jack School	Difference
Before	750		300
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 Julian School and Jack School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 750
= ⁴⁰₁₀₀ x 750
= 300

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

1 u = 300

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 300
= 2700

Answer(s): 2700