college algebra

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a man left 1\2 of his estate to his wife, 1\6 to his daughter, and the remainder an amount of $15,000, to his son. How large was the entire estate?

  • college algebra -

    entire estate value ---- x

    x - (x/2 + x/6) = 15000
    times 6
    6x - 3x - x = 90000
    2x = 90000
    x = 45000

    wife gets 22500
    daughter gets 45000/6 = 7500
    leaving 15000 for son
    all adds up nicely.

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