SOLUTION: a dairyman has milk with 5% butterfat and cream with 20% butterfat.How much of each ingredient must be mixed to make 30 gallons with 6% butterfat?

Question 353832: a dairyman has milk with 5% butterfat and cream with 20% butterfat.How much of each ingredient must be mixed to make 30 gallons with 6% butterfat?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a dairyman has milk with 5% butterfat and cream with 20% butterfat.How much of each ingredient must be mixed to make 30 gallons with 6% butterfat?
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Equation:
fat + fat = fat
0.05x + 0.20(30-x) = 0.06*30
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Multiply thru by 100 to get:
5x + 20*30 - 20x = 6*30
-15x = -14*30
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x = 28 gallons (amt of 5% milk needed in the mixture
30-x = 2 gallons (amt of 20% milk needed in the mixture.
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Cheers,
Stan H.
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