document.write( "Question 575957: a coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee that sells for $8 per pound should be mixed with the 20 pounds of $4 per pound coffee to obtain a blend that will sell for $5 per pound? How much of the $5 per pound coffee is there to sell? \n" ); document.write( "

Algebra.Com's Answer #369671 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = pounds of $8/lb coffee needed
\n" ); document.write( " $\"+8x+\"$ = cost of the $8/lb coffee
\n" ); document.write( " $\"+4%2A20+=+80+\"$ = cost of the $4/lb coffee used
\n" ); document.write( "------------
\n" ); document.write( " $\"+%28+8x+%2B+80+%29+%2F+%28+x+%2B+20+%29+=+5+\"$
\n" ); document.write( " $\"+8x+%2B+80+=+5%2A%28+x+%2B+20+%29+\"$
\n" ); document.write( " $\"+8x+%2B+80+=+5x+%2B+100+\"$
\n" ); document.write( " $\"+3x+=+20+\"$
\n" ); document.write( " $\"+x+=+6.667+\"$
\n" ); document.write( "6 and 2/3 pounds of $8/lb coffee is needed
\n" ); document.write( "This makes $\"+6.667+%2B+20+=+26.667+\"$
\n" ); document.write( "There is 26 and 2/3 pounds of the $5 /lb coffee to sell
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+8x+%2B+80+%29+%2F+%28+x+%2B+20+%29+=+5+\"$
\n" ); document.write( " $\"+%28+8%2A6.667+%2B+80+%29+%2F+%28+6.667+%2B+20+%29+=+5+\"$
\n" ); document.write( " $\"+%28+53.333+%2B+80+%29+%2F+%28+26.667+%29+=+5+\"$
\n" ); document.write( " $\"+133.333+=+5%2A26.667+\"$
\n" ); document.write( " $\"+133.333+=+133.333+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );