Algebra

A moving picture theater usually took in $220 an evening on ticket sales. The manager found out that by reducing the price of tickets by 5 cents, 200 more persons attended, and the box office receipts were $80 more an evening. How many persons attended before the reduction in price?

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asked by Laura
  1. If there were normally x tickets sold, the price was 220/x

    (220/x-.05)(x+200) = 220+80
    x = 400

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    posted by Steve
  2. can you show how the equation is solved?

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    posted by Laura
  3. just like any similar equation...
    (220/x-.05)(x+200) = 220+80
    (220/x-.05)(x+200) = 300
    (220-x/20)(x+200) = 300x
    (4400-x)(x+200) = 6000x
    -x^2 + 4200x + 880000 = 6000x
    x^2 + 1800x - 880000 = 0
    (x-400)(x+2200) = 0

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    posted by Steve

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