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Math Help - [SOLVED] math word problem - need help

  1. #1
    pattipf
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    Question [SOLVED] math word problem - need help

    A pole is standing vertically in a lake in such a way that one fifth of the pole is in the mud. Two thirds are in the water, one eigth is above the water, and a piece of the top, measuring one foot 3 inches is broken off. What is the depth of the lake?
    Last edited by Math Help; April 30th 2005 at 10:27 AM.
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  2. #2
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    A pole is standing vertically in a lake in such a way that one fifth of the pole is in the mud. Two thirds are in the water, one eigth is above the water, and a piece of the top, measuring one foot 3 inches is broken off. What is the depth of the lake?

    First find the length of the pole, x, using this equation

    x = 1/5x + 2/3x + 1/8x + 1'3".............multiply everything by 120
    120x = 24x + 80x + 15x + 120'360"......move all x to the left
    x=120'360"......................................convert inches to feet
    x=150'

    2/3 of the pole is in the water so (2/3)*150' is the depth of the lake
    100 feet
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