document.write( "Question 1053917: a coffee shop manager has coffee for $6 per pound and another type for $15 per pound. He wants to make a mixture that will cost $12 per pound. If he take 30lbs of the $15 coffee how many pounds of the $6 coffee will he need to make a mixture that costs $12 per pound? \n" ); document.write( "

Algebra.Com's Answer #669143 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = pounds of the $6 coffee needed
\n" ); document.write( " $\"+15%2A30+=+450+\"$ = cost of 30 pounds of $15 used
\n" ); document.write( " $\"+6x+\"$ = cost of the $6 coffee used
\n" ); document.write( "------------------------------------
\n" ); document.write( " $\"+%28+6x+%2B+450+%29+%2F+%28+x+%2B+30+%29+=+12+\"$
\n" ); document.write( "( this is [ cost/lb ] = [ cost/lb ] )
\n" ); document.write( "-------------------------------------
\n" ); document.write( " $\"+6x+%2B+450+=+12%2A%28+x+%2B+30+%29+\"$
\n" ); document.write( " $\"+6x+%2B+450+=+12x+%2B+360+\"$
\n" ); document.write( " $\"+6x+=+90+\"$
\n" ); document.write( " $\"+x+=+15+\"$
\n" ); document.write( "15 pounds of the $6 coffee are needed
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+6x+%2B+450+%29+%2F+%28+x+%2B+30+%29+=+12+\"$
\n" ); document.write( " $\"+%28+6%2A15+%2B+450+%29+%2F+%28+15+%2B+30+%29+=+12+\"$
\n" ); document.write( " $\"+%28+90+%2B+450+%29+%2F+45+=+12+\"$
\n" ); document.write( " $\"+540+%2F+45+=+12+\"$
\n" ); document.write( " $\"+540+=+540+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );