Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 4 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 3 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
I know I need to have a variable for Alice and Bob, so I used a and b, respectfully. I know that a+n =4(b-n), and a-n=3(b+n). But I don't know how to move on from here.
help would be appreciated. Thanks!