At a football game, student tickets cost $3 each, adult tickets are $4.50 each, and children's tickets cost $2.50 each. The number of adult tickets sold was 3 times the number of children’s tickets. The total number of children’s and adult tickets was half the number of student tickets. If the total ticket sales were $9,200, how many of each type of ticket were sold? Define variables, and set up the system of equations but do not solve. Blank of
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