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Question

Tickets to a concert are $5 for balcony seats and $10 for orchestra seats. If attendance was 600 and total receipts were $4750, how many people bought orchestra seats?

Answer 1

Let x number of people bought balcony seats and y number of people bought orchestra seats. Total receipts for balcony will be 5x and for orchestra will be 10y. 5x + 10y = 4750 and total attendance is x + y = 600. Solving both equations will give y = 350 which is the number of people who bought orchestra seats.