document.write( "Question 1126100: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts are needed to make 9 pounds of trail mix that costs $6 per pound?
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Algebra.Com's Answer #742415 by josmiceli(19441) $\"\"$ $\"About$

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let $\"+a+\"$ = pounds of granola needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of nuts needed
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+9+\"$
\n" ); document.write( "(2) $\"+%28+4.5a+%2B+7b+%29+%2F+9+=+6+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) $\"+9a+%2B+14b+=+108+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+9+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+9a+%2B+14b+=+108+\"$
\n" ); document.write( "(1) $\"+-9a+-+9b+=+-81+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+5b+=+27+\"$
\n" ); document.write( " $\"+b+=+5.4+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+a+%2B+5.4+=+9+\"$
\n" ); document.write( " $\"+a+=+3.6+\"$
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\n" ); document.write( "3.6 pounds of granola and 5.4 pounds of nuts are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+4.5a+%2B+7b+%29%2F9+=+6+\"$
\n" ); document.write( "(2) $\"+%28+4.5%2A3.6+%2B+7%2A5.4+%29%2F9+=+6+\"$
\n" ); document.write( "(2) $\"+%28+16.2+%2B+37.8+%29%2F+9+=+6+\"$
\n" ); document.write( "(2) $\"+54+=+6%2A9+\"$
\n" ); document.write( "(2) $\"+54+=+54+\"$
\n" ); document.write( "OK \n" ); document.write( "

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