document.write( "Question 493651: How many gallons of cream that is 20% butterfat must be mixed with milk that is 2% butterfat to get 18 gallons of milk containing 4% butterfat?\r
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document.write( "I am having trouble setting up the equation. We were thinking it went something like this...\r
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document.write( ".02x + .2x = .04(18) \n" );
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Algebra.Com's Answer #335410 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How many gallons of cream that is 20% butterfat must be mixed with milk that is 2% butterfat to get 18 gallons of milk containing 4% butterfat? \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "fat + fat = fat \n" ); document.write( "0.02x + 0.20(18-x) = 0.04*18 \n" ); document.write( "-------------- \n" ); document.write( "Multiply thru by 100 \n" ); document.write( "2x + 20*18 - 20x = 4*18 \n" ); document.write( "-18x = -16*18 \n" ); document.write( "x = 16 gallons \n" ); document.write( "18-x = 2 gallons (amt of cream needed) \n" ); document.write( "======================================== \n" ); document.write( "If that method is too confusing try 2 equations with 2 variables: \n" ); document.write( "c is cream \n" ); document.write( "m is milk \n" ); document.write( "---- \n" ); document.write( "m + c = 18 \n" ); document.write( "0.02m + 0.20c = 0.04*18 \n" ); document.write( "----- \n" ); document.write( "Multiply thru 1st by 2 \n" ); document.write( "Multiply thru other by 100 \n" ); document.write( "--- \n" ); document.write( "2m + 2c = 2*18 \n" ); document.write( "2m + 20c= 4*18 \n" ); document.write( "---- \n" ); document.write( "Subtract: \n" ); document.write( "18c = 2*18 \n" ); document.write( "c = 2 gallons (amt. of cream needed) \n" ); document.write( "==== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |