Elijah School had 760 students and Caden School had 40% less students. When an equal number of students joined each school, the ratio of the students in Caden School to that in Elijah School became 4 : 3. How many students were there in both schools in the end?

	Elijah School	Caden School	Difference
Before	760		304
Change	+ ?	+ ?
After	4 u	3 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 Elijah School and Caden School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 760
= ⁴⁰₁₀₀ x 760
= 304

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

1 u = 304

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 304
= 2128

Answer(s): 2128