If there were 32 people at a performance and the theater collected $474 from ticket sales, how many children attended the play? x = number of child tickets sold
32  x = number of adult tickets sold {32 people attended} 12x + 17(32  x) = 474 {price of ticket x number of tickets equals total value} 12x + 544  17x = 474 {used distributive property} 5x + 544 = 474 {combined like terms} 5x = 70 {subtracted 544 from each side} x = 14 {divided each side by 5} 14 children attended  Algebra House
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