document.write( "Question 1130677: A farmer has two types of milk, one that is 24% butterfat and another which is 18% butterfat. How much of each should he use to end up with 42 gallons of 20% butterfat?
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Algebra.Com's Answer #747294 by addingup(3677) You can put this solution on YOUR website! x = 24% \n" ); document.write( "y = 18% \n" ); document.write( ". \n" ); document.write( "x + y = 42 therefore y = 42 - x \n" ); document.write( "0.24x + 0.18y = 0.20(42) substitute for y: \n" ); document.write( "0.24x + 0.18(42 - x) = 8.4 \n" ); document.write( "0.24x + 7.56 - 0.18x = 8.4 \n" ); document.write( "0.06x = 0.84 \n" ); document.write( "x = 14 \n" ); document.write( "He should use 14 gallons of the 24% butterfat and (42-14= 28) 28 gallons of the 18% to get 42 gallons of 20% \n" ); document.write( " \n" ); document.write( " |