Michael School had 748 students and Peter School had 25% more students. When an equal number of students left each school, the ratio of the students in Peter School to that in Michael School became 2 : 1. How many students were there in both schools in the end?

	Michael School	Peter School	Difference
Before	748		187
Change	- ?	- ?
After	2 u	1 u	1 u

Since an equal number of students left each school, the difference in the number of students at first and in the end between the 2 schools remains the same.  Make the difference between the number of students in Michael School and Peter School at first and in the end the same. 

Difference between the number of students in both schools at first
= 25% x 748
= ²⁵₁₀₀ x 748
= 187

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

1 u = 187

Total number of students in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 187
= 561

Answer(s): 561