Fabian School had 385 students and Fred School had 40% less students. When an equal number of students joined each school, the ratio of the students in Fred School to that in Fabian School became 5 : 4. How many students were there in both schools in the end?

	Fabian School	Fred School	Difference
Before	385		154
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 Fabian School and Fred School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 385
= ⁴⁰₁₀₀ x 385
= 154

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

1 u = 154

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 154
= 1386

Answer(s): 1386