document.write( "Question 909357: A rug is made by weaving 20 lb of yarn that is 50% wool with a yarn that is 25% wool. How many pounds of the yarn that is 25% wool must be used if the finished rug is to be 35% wool? \n" ); document.write( "
Algebra.Com's Answer #551831 by richwmiller(17219)\"\" \"About 
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We have 20 lb of 50% wool
\n" ); document.write( "We want to add some 25% wool to make 35% wool
\n" ); document.write( "0.25*x+0.5*20=0.35(20+x)
\n" ); document.write( "0.25*x+10=7+0.35x
\n" ); document.write( "0.25x-0.35x=7-10
\n" ); document.write( "-0.1x=-3
\n" ); document.write( "x=30 lb at 25% (7.5) is added to 20 lb at 50%(10) to make 35% of 50 lb(17.5)
\n" ); document.write( "check
\n" ); document.write( "0.25*30+0.5*20=0.35(20+30)
\n" ); document.write( "7.5+10=0.35(50)
\n" ); document.write( "17.5=17.5
\n" ); document.write( "ok\r
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