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Alice gave Betty as many cents as Betty had. Betty then gave Alice as many cents as Alice had. Then, each of them had 12 cents. How much did Alice start with?

 Jun 6, 2020
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Alice gave Betty as many cents as Betty had. Betty then gave Alice as many cents as Alice had. Then, each of them had 12 cents. How much did Alice start with?     

 

Start at the end and work backward.     

Remember, the total is always 24 ¢.     

 

       A         

      12    12     after B doubled A's     

        6    18     after A doubled B's     

      15      9     before A doubled B's     

.     

 Feb 7, 2026

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