document.write( "Question 589084: A merchant has coffee worth $30 a pound that she wishes to mix with 30 pounds of coffee worth $80 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $30 coffee should be used? \n" ); document.write( "

Algebra.Com's Answer #374732 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ = pounds of $30/pound coffee needed
\n" ); document.write( " $\"+30%2A80+=+2400+\"$ = cost in dollars of $80/pound coffee
\n" ); document.write( " $\"+%28+30x+%2B+2400+%29+%2F+%28+x+%2B+30+%29+=+60+\"$
\n" ); document.write( " $\"+30x+%2B+2400+=+60%2A%28+x+%2B+30+%29+\"$
\n" ); document.write( " $\"+30x+%2B+2400+=+60x++%2B+1800+\"$
\n" ); document.write( " $\"+30x+=+2400+-+1800+\"$
\n" ); document.write( " $\"+30x+=+600+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "20 pounds of $30/pound coffee is needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+30x+%2B+2400+%29+%2F+%28+x+%2B+30+%29+=+60+\"$
\n" ); document.write( " $\"+%28+30%2A20+%2B+2400+%29+%2F+%28+20+%2B+30+%29+=+60+\"$
\n" ); document.write( " $\"+%28+600+%2B+2400+%29+%2F+50+=+60+\"$
\n" ); document.write( " $\"+3000+=+60%2A50+\"$
\n" ); document.write( " $\"+3000+=+3000+\"$
\n" ); document.write( "OK \n" ); document.write( "

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