document.write( "Question 1030100: A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total is $16. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $13. Find the cosh for each pound of jelly beans and each trail mix. \n" ); document.write( "

Algebra.Com's Answer #645015 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = cost/pound of jelly beans
\n" ); document.write( "Let $\"+b+\"$ = cost/pound of trail mix
\n" ); document.write( "-------------------
\n" ); document.write( "(1) $\"+6a+%2B+2b+=+16+\"$
\n" ); document.write( "(2) $\"+3a+%2B+5b+=+13+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+6a+%2B+10b+=+26+\"$
\n" ); document.write( "(1) $\"+-6a+-+2b+=+-16+\"$
\n" ); document.write( "--------------------
\n" ); document.write( " $\"+8b+=+10+\"$
\n" ); document.write( " $\"+b+=+1.25+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+6a+%2B+2b+=+16+\"$
\n" ); document.write( "(1) $\"+3a+%2B+b+=+8+\"$
\n" ); document.write( "(1) $\"+3a+%2B+1.25+=+8+\"$
\n" ); document.write( "(1) $\"+3a+=+6.75+\"$
\n" ); document.write( "(1) $\"+a+=+2.25+\"$
\n" ); document.write( "------------------
\n" ); document.write( "The jelly beans cost $2.25 / pound
\n" ); document.write( "The trail mix costs $1.25 / pound
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+3%2A2.25+%2B+5%2A1.25+=+13+\"$
\n" ); document.write( "(2) $\"+6.75+%2B+6.25+=+13+\"$
\n" ); document.write( "(2) $\"+13+=+13+\"$
\n" ); document.write( "OK
\n" ); document.write( "(1) $\"+6%2A2.25+%2B+2%2A1.25+=+16+\"$
\n" ); document.write( "(1) $\"+13.5+%2B+2.5+=+16+\"$
\n" ); document.write( "(1) $\"+16+=+16+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );