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16 May, 14:58

A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

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  1. 16 May, 18:45
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    60 gallons of 70% antifreeze

    Step-by-step explanation:

    Let n be the amount of 70% antifreeze. And the second brand was 45% pure anti freeze Then:

    According to the question

    0.7 n+.45 (150-n) = 0.55 (150)

    0.7 n+67.5-0.45 n=82.5

    0.25*n=15

    n=15/.25 = 60

    You need 60 gallons of 70% antifreeze, and 90 gallons of 45% antifreeze for this mixture
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