SOLUTION: How many gallons of cream that is 23% butterfat and milk that is 3% butterfat must a dairy farmer mix to make a 30 gallon mixture of milk that is 4% butterfat?

Question 428740: How many gallons of cream that is 23% butterfat and milk that is 3% butterfat must a dairy farmer mix to make a 30 gallon mixture of milk that is 4% butterfat?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many gallons of cream that is 23% butterfat and milk that is 3% butterfat must a dairy farmer mix to make a 30 gallon mixture of milk that is 4% butterfat?
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Equation:
fat + fat = fat
0.23x + 0.03(30-x) = 0.04*30
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Multiply thru by 100 to get:
23x + 3*30-3x = 4*30
20x = 30
x = 3/2 gallons (amt. of 23% cream needed)
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Cheers,
Stan H.
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