Brandon School had 370 pupils and Neave School had 30% less pupils. When an equal number of pupils joined each school, the ratio of the pupils in Neave School to that in Brandon School became 5 : 4. How many pupils were there in both schools in the end?

	Brandon School	Neave School	Difference
Before	370		111
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 Brandon School and Neave School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 30% x 370
= ³⁰₁₀₀ x 370
= 111

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

1 u = 111

Total number of pupils in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 111
= 999

Answer(s): 999