Formulate but do not solve the problem.   A theater has a seating capacity of 600 and charges $2 for children, $4 for students, and $6 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $2,400. How many children attended the show? (Let x, y, and z denote the number of children, students, and adults, respectively.)        =  600        =  z

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