A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, then a preschool teacher buys one-third of his remaining pies, then a caterer buys half of his remaining pies. How many pies does the baker have left?

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A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, then a preschool teacher buys one-third of his remaining pies, then a caterer buys half of his remaining pies. How many pies does the baker have left?