document.write( "Question 128288: Ziggys yogurt blends reg. yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of reg. yogurt and how many pound of no-fat yogurt should be mixed to obtain 60 pounds of low fat yogurt. \n" ); document.write( "
Algebra.Com's Answer #93965 by ptaylor(2198)\"\" \"About 
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Let x=amount of no-fat yogurt needed\r
\n" ); document.write( "\n" ); document.write( "Then 60-x=amount of 3% fat yogurt needed\r
\n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure fat in the no-fat yogurt(0) plus the amount of pure fat in the 3% yogurt (0.03)(60-x) has to equal the amount of pure fat in the final mixture (0.01)(60). So our equation to solve:\r
\n" ); document.write( "\n" ); document.write( "0.03(60-x)=0.01(60) get rid of parens\r
\n" ); document.write( "\n" ); document.write( "1.8-0.03x=0.6 subtract 1.8 from both sides
\n" ); document.write( "1.8-1.8-0.03x=0.6-1.8 collect like terms
\n" ); document.write( "-0.03x=-1.2 divide both sides by -0.03
\n" ); document.write( "x=40 lb---------------------------------------amount of no-fat yogurt needed
\n" ); document.write( "60-x=60-40=20 lb---------------------------------amount of reg yogurt needed\r
\n" ); document.write( "\n" ); document.write( "40*0+20*0.03=0.01*60\r
\n" ); document.write( "\n" ); document.write( "0.6=0.6\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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