Question 562475: Tickets for the annual symphony orchestra pops concert cost $15, and the average attendance at the concerts has been 1,200 people. Management projects that for each 0.50$ decrease in ticket price, 40 more patrons will attend. How many people attended the concert if the receipts were $17,280?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Tickets for the annual symphony orchestra pops concert cost $15, and the average attendance at the concerts has been 1,200 people. Management projects that for each 0.50$ decrease in ticket price, 40 more patrons will attend. How many people attended the concert if the receipts were $17,280?
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Let "x" be the number of 50 cent decreases in the price.
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Income = (15 - 0.50x)(1200+40x) = 17,280
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18000 + 600x - 600x - 20x^2 = 17,280
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20x^2 - 720 = 0
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x^2 - 36 = 0
Positive solution:
x = 6
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# that attended: 1200 + 6*40 = 1440
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Cheers,
Stan H.
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