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Say there are x students of which y like apples
y:x-y = 5:8
y+5:x-y =5:6

You arent making any sense. whats the answer then?

wouldnt the denominator for the second one be (x-y+5)

no because the num of students that liked oranges did not change

okay

so... what next?

i would solve one of the equations for y, then substitute into the other equation in order to find x

what do you get as your answer?

x = 39
y = 15

Thats correct! I'm a bit slow on systems... Thanks for showing me how to do it.