document.write( "Question 600774: The Manager of a bulk foods establishment sells a trail mix for $8 per pound and premium cashews for $14 per pound. The manager wishes to make a 225-pound trail mix-cashew mixture that will sell for $11 per pound. how many pounds of each should be used? \n" ); document.write( "

Algebra.Com's Answer #379476 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of trail mix needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of cashews needed
\n" ); document.write( " $\"+8a+\"$ = cost of trail mix used
\n" ); document.write( " $\"+14b+\"$ = cost of cashews used
\n" ); document.write( "---------
\n" ); document.write( "(1) $\"+a+%2B+b+=+225+\"$
\n" ); document.write( "(2) $\"+%28+8a+%2B+14b+%29+%2F+225+=+11+\"$
\n" ); document.write( "---------
\n" ); document.write( "(2) $\"+8a+%2B+14b+=+11%2A225+\"$
\n" ); document.write( "(2) $\"+8a+%2B+14b+=+2475+\"$
\n" ); document.write( "multiply both sides of (1) by $\"+8+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+8a+%2B+14b+=+2475+\"$
\n" ); document.write( "(1) $\"+-8a+-+8b+=+-1800+\"$
\n" ); document.write( " $\"+6b+=+675++\"$
\n" ); document.write( " $\"+b+=+112.5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+225+\"$
\n" ); document.write( "(1) $\"+a+%2B+112.5+=+225+\"$
\n" ); document.write( "(1) $\"+a+=+112.5+\"$
\n" ); document.write( "112.5 pounds of each should be used
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+8%2A112.5+%2B+14%2A112.5+%29+%2F+225+=+11+\"$
\n" ); document.write( "(2) $\"+%28+900+%2B+1575+%29+%2F+225+=+11+\"$
\n" ); document.write( "(2) $\"+2475+%2F+225+=+11+\"$
\n" ); document.write( "(2) $\"+2475+=+2475+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );