document.write( "Question 718014: Question:
\n" ); document.write( "A store mixes Kenyan coffe worth $12 per kilogram, and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram.
\n" ); document.write( "How much of each should be used to make a 312 kilogram mixture? \n" ); document.write( "

Algebra.Com's Answer #440673 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = kg of Kenyan coffee needed
\n" ); document.write( "Let $\"+b+\"$ = kg of Venezuelan coffee needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=++312+\"$
\n" ); document.write( "(2) $\"+%28+12a+%2B+16b+%29+%2F+312+=+13+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+12a+%2B+16b+=+13%2A312+\"$
\n" ); document.write( "(2) $\"+12a+%2B+16b+=+4056+\"$
\n" ); document.write( "Divide through by $\"+4+\"$
\n" ); document.write( "(2) $\"+3a+%2B+4b+=+1014+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+3a+%2B+4b+=+1014+\"$
\n" ); document.write( "(1) $\"+-3a+-+3b+=++936+\"$
\n" ); document.write( " $\"+b+=+78+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=++312+\"$
\n" ); document.write( "(1) $\"+a+=+234+\"$
\n" ); document.write( "234 kg of Kenyan coffee are needed
\n" ); document.write( "78 kg of Venezuelan coffee are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+12%2A234+%2B+16%2A78+%29+%2F+312+=+13+\"$
\n" ); document.write( "(2) $\"++2808+%2B+1248+=+13%2A312+\"$
\n" ); document.write( "(2) $\"+4056+=++4056+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );