Japheth School had 536 students and Vincent School had 25% less students. When an equal number of students joined each school, the ratio of the students in Vincent School to that in Japheth School became 5 : 4. How many students were there in both schools in the end?

	Japheth School	Vincent School	Difference
Before	536		134
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 Japheth School and Vincent School at first and in the end the same. 

Difference between the number of students in both schools at first
= 25% x 536
= ²⁵₁₀₀ x 536
= 134

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

1 u = 134

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 134
= 1206

Answer(s): 1206