document.write( "Question 891351: A store mixes Kenyan coffee worth 10 per kilogram and Turkish coffee worth 13 per kilogram. The mixture is to sell for 12 per kilogram. Find out how much of each should be used to make a 504 kilogram mixture. \n" ); document.write( "
Algebra.Com's Answer #539673 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = kg of Kenyan coffee needed
\n" ); document.write( "Let \"+b+\" = kg of Turkish coffee needed
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+504+\" kg
\n" ); document.write( "(2) \"+%28+10a+%2B+13b+%29+%2F+504+=+12+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) \"+10a+%2B+13b+=+12%2A504+\"
\n" ); document.write( "(2) \"+10a+%2B+13b+=+6048+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+10+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+10a+%2B+13b+=+6048+\"
\n" ); document.write( "(1) \"+-10a+-+10b+=+-5040+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+3b+=+1008+\"
\n" ); document.write( "\"+b+=+336+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+504+\"
\n" ); document.write( "(1) \"+a+=+504+-+336+\"
\n" ); document.write( "(1) \"+a+=+168+\"
\n" ); document.write( "------------------
\n" ); document.write( "168 kg of Kenyan coffee are needed
\n" ); document.write( "336 kg of Turkish coffee are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+10%2A168+%2B+13%2A336+%29+%2F+504+=+12+\"
\n" ); document.write( "(2) \"+1680+%2B+4368+=+12%2A504+\"
\n" ); document.write( "(2) \"+6048+=+6048+\"
\n" ); document.write( "OK
\n" ); document.write( "
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