document.write( "Question 114282This question is from textbook Glencoe Mathematics-Algebra 1
\n" ); document.write( ": 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? \n" ); document.write( "
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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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\n" ); document.write( "Let amt. of 2% milk be \"x\" gals : Amt of fat is 0.02x gals.
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\n" ); document.write( "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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\n" ); document.write( "Amt of mixed is 35 gals; amt of fat is 0.04*35 = 1.4 gals
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\n" ); document.write( "EQUATION:
\n" ); document.write( "fat + fat = fat
\n" ); document.write( "0.02x + 3.15-0.09x = 1.4
\n" ); document.write( "-0.07x = -2.1
\n" ); document.write( " x = 30 gallons (amt. of 2% milk in the mix)
\n" ); document.write( "35-30 = 5 gallons (amt of cream in the mix)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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