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8 May, 01:03

How many gallons of a 60 % antifreeze solution must be mixed with 70 gallons of 25 % antifreeze to get a mixture that is 50 % antifreeze? Use the six-step method.

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  1. 8 May, 01:32
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    The answer to your question is 175 gallons

    Explanation:

    Data

    60% antifreeze solution volume = ? = x

    25% antifreeze solution volume = 25%

    Final concentration 50%

    Process

    0.6x + 0.25 (70) = 0.5 (70 + x)

    Simplification

    0.6x + 17.5 = 35 + 0.5x

    0.6x - 0.5x = 35 - 17.5

    0.1x = 17.5

    x = 17.5/0.1

    Result

    x = 175 gallons
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