document.write( "Question 532246: The manager of a coffee shop has one type of coffee that sells for $8 per pound and another that sells for $15 per pound. The manager wishes to mix 60 pounds of the $15 coffee to get a mixture that will sell for $14 per pound. How many pounds of the $8 coffee should be used? \n" ); document.write( "

Algebra.Com's Answer #350747 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = pounds of $8 coffee needed
\n" ); document.write( "given:
\n" ); document.write( " $\"+60%2A15+=+900+\"$ is cost of $15 coffee
\n" ); document.write( " $\"+8x+\"$ = cost of $8 coffee
\n" ); document.write( " $\"+60+%2B+x+\"$ = total pounds of coffee in mixture
\n" ); document.write( "-----------
\n" ); document.write( " $\"+%28+900+%2B+8x+%29+%2F+%28+60+%2B+x+%29+=+14+\"$
\n" ); document.write( " $\"+900+%2B+8x+=+14%2A%28+60+%2B+x+%29+\"$
\n" ); document.write( " $\"+900+%2B+8x+=+840+%2B+14x+\"$
\n" ); document.write( " $\"+6x+=+900+-+840+\"$
\n" ); document.write( " $\"+6x+=+60+\"$
\n" ); document.write( " $\"+x+=+10+\"$
\n" ); document.write( "10 pounds of $8 coffee are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+900+%2B+8x+%29+%2F+%28+60+%2B+x+%29+=+14+\"$
\n" ); document.write( " $\"+%28+900+%2B+8%2A10+%29+%2F+%28+60+%2B+10+%29+=+14+\"$
\n" ); document.write( " $\"+980+%2F+70+=+14+\"$
\n" ); document.write( " $\"+980+=+80+\"$
\n" ); document.write( "OK \n" ); document.write( "

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