Neave School had 735 students and Seth School had 20% more students. When an equal number of students left each school, the ratio of the students in Seth School to that in Neave School became 4 : 3. How many students were there in both schools in the end?

	Neave School	Seth School	Difference
Before	735		147
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 Neave School and Seth School at first and in the end the same. 

Difference between the number of students in both schools at first
= 20% x 735
= ²⁰₁₀₀ x 735
= 147

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

1 u = 147

Total number of students in both schools in the end
= 4 u + 3 u
= 7 u
= 7 x 147
= 1029

Answer(s): 1029