document.write( "Question 205466: Yogurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain lowfat yogurt that is 1%. How many pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt? \n" ); document.write( "
Algebra.Com's Answer #155254 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of regular (3%) yogurt that is needed \n" ); document.write( "Then 60-x=amount of no fat yogurt that is needed\r \n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure fat that exists before the mixture (0.03*x) has to equal the amount of pure fat that exists in the final mixture (0.01*60), so our equation to solve is: \n" ); document.write( "0.03x=0.01*60 simplify \n" ); document.write( "0.03x=0.6 divide each side by 0.03 \n" ); document.write( "x=20 lbs-------------------------amount of 3% yogurt needed \n" ); document.write( "60-x=60-20=40 lb-----------amount of no fat yogurt needed \n" ); document.write( "CK \n" ); document.write( "0.03*20+0.0*40=0.1*60 \n" ); document.write( "0.6=0.6\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |