SOLUTION: The first showing of Avatar at the local movie theatre sold a total of 650 tickets. A ticket for th 3D movie costs $11.50 and a ticket for the non-3D movie costs $8.50. The total t

Question 807659: The first showing of Avatar at the local movie theatre sold a total of 650 tickets. A ticket for th 3D movie costs $11.50 and a ticket for the non-3D movie costs $8.50. The total ticket sales for this showing of Avatar were $6,725. How many of each time of ticket were sold?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The first showing of Avatar at the local movie theatre sold a total of 650 tickets. A ticket for th 3D movie costs $11.50 and a ticket for the non-3D movie costs $8.50. The total ticket sales for this showing of Avatar were $6,725. How many of each time of ticket were sold?
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Quantity Eq::: d + n = 650 tickets
Value Eq:::: 11.5d+8.5n = 6725 dollars
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Modify for elimination:
115d + 115n = 115*650
115d + 85n = 67250
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Subtract and solve for "n"::
30n = 7500
n = 250 (# of non-3D tickets sold)
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Solve for "d":
d + n = 650
d + 250 = 650
d = 400 (# of 3D tickets sold)
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Cheers,
Stan H.
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