document.write( "Question 779949: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 36 gallons of a mixture containing 2% butterfat. How many gallons of each milk must be used? See Example 4.
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\n" ); document.write( "4% milk ___ gal
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Algebra.Com's Answer #475445 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
ASSIGN VARIABLES
\n" ); document.write( "L = 1%
\n" ); document.write( "T = 2%, target value wanted
\n" ); document.write( "H = 4%
\n" ); document.write( "M = 36 gallons
\n" ); document.write( "u = amount of 1%, unknown
\n" ); document.write( "v = amount of 4%, unknown\r
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\n" ); document.write( "\n" ); document.write( "MAKE EQUATIONS
\n" ); document.write( "\"%28Lu%2BHv%29%2FM=T\" and \"u%2Bv=M\"\r
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\n" ); document.write( "\n" ); document.write( "SOLVE EQUATIONS FOR EACH UNKNOWN VARIABLE
\n" ); document.write( "Meaning, solve for u and v.
\n" ); document.write( "\"%28Lu%2BHv%29%2FM=T\" and \"u%2Bv=M\"
\n" ); document.write( "\"Lu%2BHv=MT\", \"v=M-u\"
\n" ); document.write( "\"Lu%2BH%28M-u%29=MT\"
\n" ); document.write( "\"Lu%2BHM-Hu=MT\"
\n" ); document.write( "\"Lu-Hu=MT-HM\"
\n" ); document.write( "\"u%28L-H%29=M%28T-H%29\"
\n" ); document.write( "\"u=M%28T-H%29%2F%28L-H%29\"
\n" ); document.write( "and because \"L%3CT%3CH\", we multiply top & bottom by \"-1\"
\n" ); document.write( "\"highlight%28u=M%28H-T%29%2F%28H-L%29%29\"
\n" ); document.write( "and including the use of the other equation,
\n" ); document.write( "\"highlight%28v=M%281-%28H-T%29%2F%28H-L%29%29%29\" or whichever simpler form you want.\r
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\n" ); document.write( "\n" ); document.write( "SUBSTITUTE THE KNOWN VALUES
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