Adult Tickets For A Play Cost $19 And Child Tickets Cost $17. If There Were 36 People At A Performance And The Theatre Collected $646 From Ticket Sales, How Many Children Attended The Play?

Use simultaneous equations

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Number of children = x … Number of adults = y

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x + y = 36 … 17x + 17y = 612 (EQUATION A)

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17x +19y = 646 (EQUATION B)

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To find y, subtract equation A from equation B

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(17x + 19y) – (17x + 17y) = 646 – 612 … 2y = 34 … y = 17

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To find x, substitute the value of y into any equation:

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x + y = 36 … x + 17 = 36 … x = 19

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Therefore, 19 children and 17 adults attended the play