College Algebra

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A piling supporting a bridge sits so that 1/4 of the piling is in the sand, 150 feet is in the water, and 3/5 of the piling is in the air. What is the total height of the piling?

  • College Algebra -

    Let x = total height

    (1/4)x + 150 + (3/5)x = x

    (5/20)x + 150 + (12/20)x = x

    (17/20)x = x - 150

    -(3/20)x = -150

    x = 150/(3/20)

    x = 150 * (20/3)

    x = 3,000/3

    x = 1,000 feet

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