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A deli sells three sizes of turkey ​sandwiches: the small turkey sandwich contains 6 ounces of meat and sells for $2.50​; the regular turkey sandwich contains 11 ounces of meat and sells for $3.00​; and the large turkey sandwich contains 13 ounces of meat and sells for $3.50. A customer requests a selection of each size for a reception. She and the manager agree on a combination of 52 sandwiches made from 32 pounds 14 ounces of turkey for a total cost of $154.00. How many of each size sandwich will be in this​ combination? (Note: 1 pound=16 ounces​)

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