document.write( "Question 559325: Cashews sell for $1.20 per quarter-pound, and Brazil nuts sell for $1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to obtain a mix that sells for $1.30 per quarter-pound? \n" ); document.write( "

Algebra.Com's Answer #363360 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = pounds of cashews needed
\n" ); document.write( "given:
\n" ); document.write( " $\"+x+%2B+20+\"$ = total pounds of mixture
\n" ); document.write( " $\"+1.2%2F.25+=+4.8+\"$ is cost/pound of cashews
\n" ); document.write( " $\"+1.5%2F.25+=+6+\"$ is cost/pound of Brazil nuts
\n" ); document.write( " $\"+1.3%2F.25+=+5.2+\"$ is cost/pound of mixture
\n" ); document.write( "--------------
\n" ); document.write( " $\"+%28+4.8x+%2B+6%2A20+%29+%2F+%28+x+%2B+20+%29+=+5.2+\"$
\n" ); document.write( " $\"+4.8x+%2B+120+=+5.2%2A%28+x+%2B+20+%29+\"$
\n" ); document.write( " $\"+4.8x+%2B+120+=+5.2x+%2B+104+\"$
\n" ); document.write( " $\"+.4x+=+120+-+104+\"$
\n" ); document.write( " $\"+.4x+=+16+\"$
\n" ); document.write( " $\"+x+=+40+\"$
\n" ); document.write( "40 pounds of cashews are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+4.8x+%2B+6%2A20+%29+%2F+%28+x+%2B+20+%29+=+5.2+\"$
\n" ); document.write( " $\"+%28+4.8%2A40+%2B+6%2A20+%29+%2F+%28+40+%2B+20+%29+=+5.2+\"$
\n" ); document.write( " $\"+192+%2B++120+=+5.2%2A60+\"$
\n" ); document.write( " $\"+312+=+312+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );