Bryan School had 795 pupils and Oliver School had 40% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Oliver School to that in Bryan School became 5 : 4. How many pupils were there in both schools in the end?

	Bryan School	Oliver School	Difference
Before	795		318
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 Bryan School and Oliver School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 40% x 795
= ⁴⁰₁₀₀ x 795
= 318

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

1 u = 318

Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 318
= 2862

Answer(s): 2862