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Reggie works at Dunkin Doughnuts. A 10 oz cup of coffee costs $1.09, a 14 oz cup costs $1.29, and a 20 oz cup costs $1.49. During one busy period, Reggie served 34 cups of coffee, emptying 5 96 oz pots while collecting $46.00. How many cups of each size did Reggie fill? Can this problem be solved? Why or Why not?

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