Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £30, then they would have the same amount: x-30=y+30 If David gave Christine £33, then Christine would have twice as much money as David: X+33=2(y-33) x+33=2y-66 We now have two equations. Both equations contain the same 2 unknowns (x and y). We can solve these equations simultaneously. x=£219=Christine’s Money y=£159=David’s Money I intend to demonstrate the final part on whiteboard.