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Math Help - Help Please!

  1. #1
    Junior Member alwaysalillost's Avatar
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    Post Help Please!

    Use the five step method to solve each of the following. Make sure to check your work.

    1. One-third of a number is 5 less than half of the same number. What is the number?

    2. The sum of a number and it's reciprocal is 10/3. What is the number?

    I have never been good at word problems. Can anyone please help me? Thank you!
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  2. #2
    Bar0n janvdl's Avatar
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    1. 1/3x = 1/2x - 5
    5 = 1/6x
    x = 30

    2. x + 1/x = 10/3
    x^2 + 1 = 10/3x
    x^2 - 10/3x + 1 = 0
    3x^2 - 10x + 3 = 0
    (3x - 1) (x - 3) = 0
    Thus x = 1/3 or x = 3

    Once again: Hope it helps!
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