Betsy was given $$\(\$ 75\)$$ for her birthday. She saved some of the money and spent the rest on a T-shirt and a bag. Betsy saved $$\(40 \%\)$$ of the $$\(\$ 75\)$$ She spent $$\(\$ 12\)$$ more on the bag than she spent on the T-shirt. Work out how much Betsy spent on the bag. $$\(\$\)$$

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