Neave School had 760 pupils and Michael School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Michael School to that in Neave School became 3 : 2. How many pupils were there in both schools in the end?

	Neave School	Michael School	Difference
Before	760		190
Change	- ?	- ?
After	3 u	2 u	1 u

Since an equal number of pupils left 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 Neave School and Michael School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 25% x 760
= ²⁵₁₀₀ x 760
= 190

Difference between the number of pupils in both schools in the end
= 3 u - 2 u
= 1 u

1 u = 190

Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 190
= 950

Answer(s): 950