Math-Algebra 1

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You have a bag which contains only red and green marbles. In this bag with x^2+5 marbles total, x+1 are red. Also, x-3 marbles have a scratch on them. The probability of drawing a red marble from the original bag is equal to that of drawing a marble with a scratch from the marbles left in the bag after twenty scratch-free marbles are taken out of the full bag. How many marbles were originally in the bag?

  • Math-Algebra 1 -

    (x + 1) / (x^2 + 5) = (x - 3) / (x^2 - 15)

    x^3 + x^2 - 15x - 15 = x^3 - 3x^2 + 5x - 15

    4 x^2 - 20 x = 0 ... x^2 - 5 x = 0

  • Math-Algebra 1 -

    Thanks!

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