Tim School had 760 pupils and Zane School had 30% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Zane School to that in Tim School became 5 : 4. How many pupils were there in both schools in the end?

	Tim School	Zane School	Difference
Before	760		228
Change	+ ?	+ ?
After	5 u	4 u	1 u

Since an equal number of pupils joined each school, the difference in the number of pupils at first and in the end between the 2 schools remains the same.  Make the difference between the number of pupils in Tim School and Zane School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 30% x 760
= ³⁰₁₀₀ x 760
= 228

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

1 u = 228

Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 228
= 2052

Answer(s): 2052