Mark School had 724 pupils and Daniel School had 25% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Daniel School to that in Mark School became 3 : 2. How many pupils were there in both schools in the end?

	Mark School	Daniel School	Difference
Before	724		181
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 Mark School and Daniel School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 25% x 724
= ²⁵₁₀₀ x 724
= 181

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

1 u = 181

Total number of pupils in both schools in the end
= 3 u + 2 u
= 5 u
= 5 x 181
= 905

Answer(s): 905