Luis School had 375 students and Cole School had 40% less students. When an equal number of students joined each school, the ratio of the students in Cole School to that in Luis School became 4 : 3. How many students were there in both schools in the end?

	Luis School	Cole School	Difference
Before	375		150
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 Luis School and Cole School at first and in the end the same. 

Difference between the number of students in both schools at first
= 40% x 375
= ⁴⁰₁₀₀ x 375
= 150

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

1 u = 150

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 150
= 1050

Answer(s): 1050