SOLUTION: Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?

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Question 672055: Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
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Quantity Eq.::: s + 2d = 128
Value Eq::::: 20s +35d = 2280
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20s + 40d = 20*128
20s + 35d = 2280
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Subtract and solve for "d":
5d = 280
d = 56 (# of double tickets sold)
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Solve for "s":
s + 2*56 = 128
s + 112 = 128
s = 16 (# of single tickets sold)
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Cheers,
Stan H.
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