SOLUTION: 2% milk contains 2% Butterfat. Whipped cream contains 9% Butterfat.How much whipped cream and 2% milk should be mixed to obtain 35 gallons of milk with 4% butterfat?

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Question 114282This question is from textbook Glencoe Mathematics-Algebra 1
: 2% milk contains 2% Butterfat. Whipped cream contains 9% Butterfat.How much whipped cream and 2% milk should be mixed to obtain 35 gallons of milk with 4% butterfat? This question is from textbook Glencoe Mathematics-Algebra 1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2% milk contains 2% Butterfat. Whipped cream contains 9% Butterfat.How much whipped cream and 2% milk should be mixed to obtain 35 gallons of milk with 4% butterfat?
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Let amt. of 2% milk be "x" gals : Amt of fat is 0.02x gals.
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Amt of whip cream is "35-x" gals; Amt of fat is 0.09(35-x)]=3.15-0.09x gals
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Amt of mixed is 35 gals; amt of fat is 0.04*35 = 1.4 gals
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EQUATION:
fat + fat = fat
0.02x + 3.15-0.09x = 1.4
-0.07x = -2.1
x = 30 gallons (amt. of 2% milk in the mix)
35-30 = 5 gallons (amt of cream in the mix)
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Cheers,
Stan H.

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