Simon School had 725 students and Pierre School had 40% less students. When an equal number of students joined each school, the ratio of the students in Pierre School to that in Simon School became 5 : 4. How many students were there in both schools in the end?

	Simon School	Pierre School	Difference
Before	725		290
Change	+ ?	+ ?
After	5 u	4 u	1 u

Since an equal number of students joined 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 Simon School and Pierre School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 725
= ⁴⁰₁₀₀ x 725
= 290

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

1 u = 290

Total number of students in both schools in the end
= 5 u + 4 u
= 9 u
= 9 x 290
= 2610

Answer(s): 2610