document.write( "Question 491167: A 10-lb bag of mixed nuts contains 20% peanuts. How many pounds of peanuts should be added to change the mixture to 80% peanuts? \n" ); document.write( "

Algebra.Com's Answer #334498 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = pounds of peanuts to be added
\n" ); document.write( " $\"+.2%2A10+=+2+\"$ pounds of peanuts in 10 pound bag
\n" ); document.write( "In words:
\n" ); document.write( "(final pounds of peanuts) / (final pounds of mixture) = 80%
\n" ); document.write( " $\"+%28+2+%2B+x+%29+%2F+%28+10+%2B+x+%29+=+.8+\"$
\n" ); document.write( " $\"+2+%2B+x+=+.8%2A%28+10+%2B+x+%29+\"$
\n" ); document.write( " $\"+2+%2B+x+=+8+%2B+.8x+\"$
\n" ); document.write( " $\"+.2x+=+8+-+2+\"$
\n" ); document.write( " $\"+.2x+=+6+\"$
\n" ); document.write( " $\"+x+=+30+\"$
\n" ); document.write( "30 pounds of peanuts should be added
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+2+%2B+x+%29+%2F+%28+10+%2B+x+%29+=+.8+\"$
\n" ); document.write( " $\"+%28+2+%2B+30+%29+%2F+%28+10+%2B+30+%29+=+.8+\"$
\n" ); document.write( " $\"+32+%2F+40+=+.8+\"$
\n" ); document.write( " $\"+32+=+32+\"$
\n" ); document.write( "OK \n" ); document.write( "

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