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Question 765367: Tickets for the regional volleyball tournament went on sale at Lazy Creek High School on Monday. General admission tickets cost $6.00 each and reserved seating tickets cost $12.00 each. If 400 tickets were sold on Monday and the total ticket sales was $3150.00, how many of each type of ticket was sold?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Tickets for the regional volleyball tournament went on sale at Lazy Creek High School on Monday. General admission tickets cost $6.00 each and reserved seating tickets cost $12.00 each. If 400 tickets were sold on Monday and the total ticket sales was $3150.00, how many of each type of ticket was sold?
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Quantity Eq::: g +r = 400
Value Eq::::: 6g+12r= 3150
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Modify for elimination:
6g + 6r = 2400
6g +12r = 3150
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Subtract and solve for "r":
6r = 750
r = 125 (# of reserved tickets sold)
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Solve for "g"::
g +r = 400
g + 125 = 400
g = 375 (# of general admission tickets sold)
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Cheers,
Stan H.
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