document.write( "Question 596032: The nutty shoppe has 10kg of mixed pecans and cashews which sell for $8.40 per kilogram. Cashews alone sell for $8.00 per kilogram, and pecans sell for $9.00 per kilogram. How many kilograms of pecans are there in the mix? \n" ); document.write( "

Algebra.Com's Answer #377489 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+p+\"$ = kg of pecans
\n" ); document.write( "Let $\"+c+\"$ = kg of cashews
\n" ); document.write( "Cost of pecans used = $\"+9p+\"$
\n" ); document.write( "Cost of cashews used = $\"+8c+\"$
\n" ); document.write( "Cost of mixture = $\"+8.4%2A10+=+84+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+9p+%2B+8c+=+84+\"$
\n" ); document.write( "(2) $\"+p+%2B+c+=+10+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Multiply both sides of (2) by $\"+8+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+9p+%2B+8c+=+84+\"$
\n" ); document.write( "(2) $\"+-8p+-+8c+=+-80+\"$
\n" ); document.write( " $\"+p+=+4+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+p+%2B+c+=+10+\"$
\n" ); document.write( "(2) $\"+4+%2B+c+=+10+\"$
\n" ); document.write( "(2) $\"+c+=+6+\"$
\n" ); document.write( "-------------
\n" ); document.write( "There are 4 kg of pecans in the mixture
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"+9p+%2B+8c+=+84+\"$
\n" ); document.write( "(1) $\"+9%2A4+%2B+8%2A6+=+84+\"$
\n" ); document.write( "(1) $\"+36+%2B+48+=+84+\"$
\n" ); document.write( "(1) $\"+84+=+84+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );