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28 June, 01:12

Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs. Huang can use them. To apply herbicide to a large field she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must she use? A. 18 L B. 34 L C. 35 L D. 23 L

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  1. 28 June, 01:22
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    To solve this problem, let us first assign variables. Let us say that:

    x = volume of 67% herbicide solution

    y = volume of 46% herbicide solution

    The total volume should be 42 liters therefore:

    x + y = 42

    x = 42 - y - - > 1

    The component mass balance on the pure herbicide would be:

    0.67 x + 0.46 y = 0.55 (42) - - > 2

    Substituting equation 1 to 2:

    0.67 (42 - y) + 0.46 y = 23.1

    28.14 - 0.67 y + 0.46 y = 23.1

    - 0.21 y = - 5.04

    y = 24 L

    Calculating for x using equation 1:

    x = 42 - 24

    x = 18 L

    Therefore we only need 18 L of the 67% herbicide solution.

    Answer:

    A. 18 L
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