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13 September, 22:51

A dairy needs 332 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 332 gallons?

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  1. 14 September, 00:39
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    249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk

    Step-by-step explanation:

    If x is the gallons of 7% butterfat milk, and y is the gallons of 3% butterfat milk, then:

    x + y = 332

    0.07x + 0.03y = 0.06 (332)

    Solve the system of equations using substitution:

    0.07x + 0.03 (332 - x) = 0.06 (332)

    0.07x + 9.96 - 0.03x = 19.92

    0.04x = 9.96

    x = 249

    y = 332 - x

    y = 83

    You need 249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk.
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