Formulate but do not solve the problem. A theater has a seating capacity of 600 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $3800. How many children attended the show? (Let x, y, and z denote the number of children, students, and adults, respectively.)

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Formulate but do not solve the problem.

A theater has a seating capacity of 600 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $3800. How many children attended the show? (Let xy, and z denote the number of children, students, and adults, respectively.) 

 
 
 
 = 600
 
 
 
 = z
 
 
 
 = 3800
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