document.write( "Question 1131276: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger decides to mix 10 pounds of peanuts with some cashews and sell the mix for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately? \n" ); document.write( "

Algebra.Com's Answer #747902 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = pounds of cashews needed
\n" ); document.write( " $\"+%28+2%2A10+%2B+5x+%29+%2F+%28+10+%2B+x+%29+=+3+\"$
\n" ); document.write( " $\"+20+%2B+5x+=+3%2A%28+10+%2B+x+%29+\"$
\n" ); document.write( " $\"+20+%2B+5x+=+30+%2B+3x+\"$
\n" ); document.write( " $\"+2x+=+10+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "5 pounds of cashews are needed
\n" ); document.write( "----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%2A10+%2B+5%2A5+=+20+%2B+25+\"$
\n" ); document.write( " $\"+20+%2B+25+=+45+\"$ dollars if sold separately
\n" ); document.write( "and
\n" ); document.write( " $\"+3%2A%28+10+%2B+x+%29+\"$
\n" ); document.write( " $\"+30+%2B+3%2A5+\"$
\n" ); document.write( " $\"+45+\"$ dollars if sold in mixture
\n" ); document.write( " \n" ); document.write( "

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