Problema Solution

If I have 4 times the amount of money as you, and I then give you $33, you now have 3 times the amount of money as me. How much money did each of us start with?

Answer provided by our tutors

let


x = the money I start with


y = the money you start with


I have 4 times the amount of money as you:


x = 4y


I then give you $33, you now have 3 times the amount of money as me:


y + 33 = 3(x - 33)


by solving the system of equations:


x = 4y


y + 33 = 3(x - 33)


we find:


x = $48


y = $12


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I started with $48 and you started with $12.