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March 27, 2017

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17.
A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?

  • Algebra - ,

    (10+X) White balls.
    6+(112-X) Striped balls

    (!0+x)/(6+(112-x)) = 10/6
    (10+X)/(118-x) = 10/6
    60 + 6x = 1180-10x
    6x + 10x = 1180 - 60 = 1120
    16x = 1120
    X = 70 White balls added.
    112-x = 112-70 = 42 Striped balls added.

  • Algebra - ,

    (10+X) White balls.
    6+(112-X) Striped balls

    (!0+x)/(6+(112-x)) = 10/6
    (10+X)/(118-x) = 10/6
    60 + 6x = 1180-10x
    6x + 10x = 1180 - 60 = 1120
    16x = 1120
    X = 70 White balls added.
    112-x = 112-70 = 42 Striped balls added.

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