document.write( "Question 429453: How many gallons of cream containing 25% butter fat and milk containing 3 1/2% butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2% butter fat. And also how much cream and how much milk to the nearest hundredth of a gallon must b mixed together to obtain 50 gallons of cream that contains 12.5% butterfat? \n" ); document.write( "
Algebra.Com's Answer #298507 by ankor@dixie-net.com(22740)\"\" \"About 
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How many gallons of cream containing 25% butter fat and milk containing 3 1/2%
\n" ); document.write( "butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2% butter fat.
\n" ); document.write( ":
\n" ); document.write( " And also how much cream and how much milk to the nearest hundredth of a gallon
\n" ); document.write( " must b mixed together to obtain 50 gallons of cream that contains 12.5% butterfat?
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\n" ); document.write( "Let x = amt of 25% cream
\n" ); document.write( "the total amt is to be 50 gal, therefore:
\n" ); document.write( "(50-x) = amt of 3.5% milk
\n" ); document.write( ":
\n" ); document.write( ".25x + .035(50-x) = .125(50)
\n" ); document.write( ".25x + 1.75 - .035x = 6.25
\n" ); document.write( ".25x - .035x = 6.25 - 1.75
\n" ); document.write( ".215x = 4.5
\n" ); document.write( "x = \"4.5%2F.215\"
\n" ); document.write( "x = 20.93 gal of 25% cream required
\n" ); document.write( "and
\n" ); document.write( "50 - 20.93 = 29.07 gal of 3.5% milk required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the original equation
\n" ); document.write( ".25(20.93) + .035(29.07) = 6.25
\n" ); document.write( "5.2325 + 1.0174 = 6.2499 because we rounded off to nearest 100th \n" ); document.write( "
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