Howard School had 360 students and Elijah School had 20% more students. When an equal number of students left each school, the ratio of the students in Elijah School to that in Howard School became 4 : 3. How many students were there in both schools in the end?

	Howard School	Elijah School	Difference
Before	360		72
Change	- ?	- ?
After	4 u	3 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 Howard School and Elijah School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 360
= ²⁰₁₀₀ x 360
= 72

Difference between the number of students in both schools in the end
= 4 u - 3 u
= 1 u

1 u = 72

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 72
= 504

Answer(s): 504