MHB Marbles & Stamps: How Many Did Casey Buy?

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I have a question

Carey bought some marbles and gave half of them to Casey. Casey bought some stamps and gave half of them to Carey. Carey used 5 stamps and Casey gave away 11 marbles. The ratio of the number of stamps to the number of marbles Carey had left then became 1 : 7 and the ratio of the number of stamps to the number of marbles Casey had left became 1 : 5. How many stamps did Casey buy?
 
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