Question

Tickets for a touring production of Sweeney Todd cost $90 for orchestra seats and $60 for balcony seats. You purchase nine tickets, some in the orchestra and some in the balcony, for a total cost of $720. How many orchestra tickets were purchased?

Answer 1

Answer: 6 orchestra tickets were purchased

Explanation:

orchestra purchased tickets = x

balcony purchased tickets = y

ou purchase nine tickets

total cost of $720

x + y = 9

90x + 60y = 720

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x + y = 9 (*-60)

90x + 60y = 720

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-60x - 60y = -540

90x + 60y = 720 (+)

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30x = 180

x = 6