document.write( "Question 287930: You have 2 drums of milk, one contains 16% butterfat, the other contains 48% butterfat. You need 40 gallons of milk at 30% butterfat. How many gallons of each do you have to mix?
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Algebra.Com's Answer #208650 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! You have 2 drums of milk, one contains 16% butterfat, the other contains 48% butterfat. \n" ); document.write( " You need 40 gallons of milk at 30% butterfat. \n" ); document.write( " How many gallons of each do you have to mix? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 48% milk \n" ); document.write( "the result is to be 40 gal, therefore: \n" ); document.write( "(40-x) = amt of 16% milk \n" ); document.write( ": \n" ); document.write( "At typical mixture equation using decimal equiv of percent: \n" ); document.write( ".48x + .16(40-x) = .30(40) \n" ); document.write( ": \n" ); document.write( ".48x + 6.4 - .16x = 12 \n" ); document.write( ": \n" ); document.write( ".48x - .16x = 12 - 6.4 \n" ); document.write( ": \n" ); document.write( ".32x = 5.6 \n" ); document.write( "x = \n" ); document.write( "x = 17.5 gal of 48% milk \n" ); document.write( "and \n" ); document.write( "40 - 17.5 = 22.5 gal of 16% milk \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in original equation \n" ); document.write( ".48(17.5) + .16(22.5) = .30(40) \n" ); document.write( "8.4 + 3.6 = 12; confirms our solutions \n" ); document.write( " |