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25 February, 11:49

How much cream that is 30% butterfat must be mixed with milk that is 3% butterfat to make 45 gal of cream that is 12% butterfat?

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  1. 25 February, 12:08
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    15 gallons

    Step-by-step explanation:

    If x is the gallons of 30% butterfat cream, and y is the gallons of 3% butterfat milk, then:

    x + y = 45

    0.30 x + 0.03 y = 0.12 (45)

    Solve the system of equations with substitution or elimination. Using substitution:

    0.30 x + 0.03 (45 - x) = 0.12 (45)

    0.30 x + 1.35 - 0.03 x = 5.4

    0.27 x = 4.05

    x = 15

    You need 15 gallons of 30% butterfat cream.
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