document.write( "Question 569509: A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for $8.80 per pound with a Kenya coffee blend that normally sells for $14.00 per pound to create 100 pounds of a coffee that can sell for $13.17 per pound. How many pounds of each kind of coffee should they mix? \n" ); document.write( "

Algebra.Com's Answer #367351 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of Kona coffee needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of Kenya coffee needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+100+\"$
\n" ); document.write( "(2) $\"+%28+8.8a+%2B+14b+%29+%2F+100+=+13.17+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) $\"+8.8a+%2B+14b+=+1317+\"$
\n" ); document.write( "(2) $\"+88a+%2B+140b+=+13170+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+88+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+88a+%2B+140b+=+13170+\"$
\n" ); document.write( "(1) $\"+-88a+-+88b+=+-8800+\"$
\n" ); document.write( " $\"+52b+=+4370+\"$
\n" ); document.write( " $\"+b+=+84.038+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+84.038+=+100+\"$
\n" ); document.write( "(1) $\"+a+=+15.962+\"$
\n" ); document.write( "15.962 pounds of Kona coffee are needed
\n" ); document.write( "84.038 pounds of Kenya coffee are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+8.8a+%2B+14b+%29+%2F+100+=+13.17+\"$
\n" ); document.write( "(2) $\"+%28+8.8%2A15.962+%2B+14%2A84.038+%29+%2F+100+=+13.17+\"$
\n" ); document.write( "(2) $\"+%28+140.466+%2B+1176.532+%29+%2F+100+=+13.17+\"$
\n" ); document.write( "(2) $\"+1316.998+=+1317+\"$
\n" ); document.write( "close enough \n" ); document.write( "

\n" );