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31 March, 03:56

two solutions of salt water contain 0.1% and 0.22% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.19% salt. How much of each solution should she use?

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  1. 31 March, 04:09
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    0.25 L at 0.1% and 0.75 L at 0.22%

    Step-by-step explanation:

    We have to:

    percent quantity

    Salt solution # 1 0.1 x L

    Salt solution # 2 0.22 (1 - x) L

    Mixture 0.19% 1

    We are left with the following equation:

    0.1 * x + 0.22 * (1-x) = 0.19 * 1

    solving:

    0.1 * x + 0.22-0.22 * x = 0.19

    0.1 * x - 0.22 * x = 0.19 - 0.22

    -0.12 * x = - 0.03

    x = - 0.03 / - 0.12

    x = 0.25

    Which means

    Salt solution # 1 0.1% 0.25 L should be used and for salt solution # 2 0.22% 0-75 (1 - 0.25) L
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