Henry School had 700 pupils and Luke School had 30% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Luke School to that in Henry School became 3 : 2. How many pupils were there in both schools in the end?

	Henry School	Luke School	Difference
Before	700		210
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 Henry School and Luke School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 30% x 700
= ³⁰₁₀₀ x 700
= 210

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

1 u = 210

Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 210
= 1050

Answer(s): 1050