Zane School had 335 students and Tommy School had 40% less students. When an equal number of students joined each school, the ratio of the students in Tommy School to that in Zane School became 5 : 4. How many students were there in both schools in the end?

	Zane School	Tommy School	Difference
Before	335		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 Zane School and Tommy School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 335
= ⁴⁰₁₀₀ x 335
= 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