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Thread: 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 $\displaystyle \dfrac{3}{4}$ filled with a liquid weighs $\displaystyle \dfrac{3}{2} kg$. The liquid alone weighs $\displaystyle \dfrac{3}{4} kg$ 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 $\displaystyle x$.

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

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

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