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Math Help - Perplexing Algebra Equation Word Problem

  1. #1
    Junior Member PythagorasNeophyte's Avatar
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    Perplexing Algebra Equation Word Problem

    A very good day to everyone here. I have an algebra word problem:

    A bottle \dfrac{3}{4} filled with a liquid weighs \dfrac{3}{2} kg. The liquid alone weighs \dfrac{3}{4} kg more than the empty bottle. If the bottle is completely filled, how much will the contents weigh?

    So I will let the weight of the empty bottle be x.

    Then the liquid alone will be x + \dfrac{3}{4}.

    Which means that x + x + \dfrac{3}{4} = \dfrac{3}{2}

    Am I right from here?
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  2. #2
    MHF Contributor
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    Yes; which means x = 3/8
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