document.write( "Question 428710: A butcher has some hamburger which is 4% fat and some hamburger which is 20% fat. How much 4% fat hamburger is needed to make 120 pounds of hamburger that is 10% fat? \n" ); document.write( "
Algebra.Com's Answer #297924 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! Let x = the number of pounds of 4% hamburger. \n" ); document.write( "Then 120 - x will be the number of pounds of 20% hamburger \n" ); document.write( "The number of pounds of fat in the 10% hamburger is 0.10*120. \n" ); document.write( "So we need to solve the following equation for x: \n" ); document.write( "0.04x + 0.20*(120 - x) = 0.10*120 \n" ); document.write( "0.04x + 24 - 0.2x = 12 \n" ); document.write( "Solving for x gives: \n" ); document.write( "-0.16x = -12 -> x = 75 \n" ); document.write( "Ans: 75 pounds of 4% fat hamburger \n" ); document.write( " |