Mrs Chan went shopping with some money.  In shop $$A$$, she spent half of her money plus ＄$$1$$ on clothing.  In shop $$B$$, she spent half of the remaining money plus ＄$$2$$ on a pair of shoes.  In shop $$C$$, she spent $$\frac{1}{3}$$ of the remaining plus ＄$$3$$ on a bag and had ＄$$49$$ left.  How much money had Mrs Chan at first? 
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