document.write( "Question 1203497: How many pounds of cream containing 25% butter fat should be added to 100 pounds of milk containing 1.5% butter fat to produce milk containing 3% butter fat? \n" ); document.write( "
Algebra.Com's Answer #839108 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Answer: 6.81818 pounds approximately\r
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\n" ); document.write( "x = amount of cream (in pounds)
\n" ); document.write( "0.25x = amount of pure butter fat from the cream
\n" ); document.write( "0.015*100 = 1.5 = amount of pure butter fat from the milk\r
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\n" ); document.write( "\n" ); document.write( "0.25x+1.5 = total amount of pure butter fat\r
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\n" ); document.write( "\n" ); document.write( "x+100 = total amount of cream & milk
\n" ); document.write( "The goal is to have 3% butter fat, so we want 0.03*(x+100) pounds of pure butter fat.\r
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\n" ); document.write( "\n" ); document.write( "0.25x+1.5 = 0.03*(x+100)
\n" ); document.write( "0.25x+1.5 = 0.03x+3
\n" ); document.write( "0.25x-0.03x = 3-1.5
\n" ); document.write( "0.22x = 1.5
\n" ); document.write( "x = 1.5/0.22
\n" ); document.write( "x = 150/22
\n" ); document.write( "x = 75/11
\n" ); document.write( "x = 6.81818 pounds approximately
\n" ); document.write( "The \"81\" repeats forever in the decimal expansion.
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