Joanne and Alex had some money. Joanne gave of her money to her mother. She then saved and spent the rest of her money in the ratio 1:2. Alex spent of his money on clothes and of his money on books. He then saved the rest. The amount that Joanne gave her mother was equal to the amount that Alex spent on books. If Joanne then gave Alex $180 from her savings, she would only have of Alex's savings. (a) How much did each of them have at first? (b) How much did they spend altogether?

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