document.write( "Question 184883: Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $2.40 per pound and gourmet chips sell for $3.00 per pound. How many pounds of walnuts should be mixed with 3 pounds of gourmet chips to obtain a mixture selling for $2.58 per pound? \n" ); document.write( "

Algebra.Com's Answer #138732 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"w\"$ = pounds of walnuts needed
\n" ); document.write( "Let $\"m\"$ = pounds of the final mixture
\n" ); document.write( "In words:
\n" ); document.write( "(pounds of walnuts)x(price per pound) + (pounds of chips)x(price per pound)
\n" ); document.write( "=(pounds of mixture)x(price per pound)
\n" ); document.write( "given:
\n" ); document.write( "Price of walnuts in mixture = $\"2.4w\"$
\n" ); document.write( "Price of chips in mixture = $\"3%2A3+=+9\"$
\n" ); document.write( "Price of mixture = $\"2.58m\"$
\n" ); document.write( " $\"m+=+3+%2B+w\"$
\n" ); document.write( "--------------
\n" ); document.write( " $\"2.4w+%2B+9+=+2.58m\"$
\n" ); document.write( " $\"2.4w+%2B+9+=+2.58%2A%283+%2B+w%29\"$
\n" ); document.write( " $\"2.4w+%2B+9+=+7.74+%2B+2.58w\"$
\n" ); document.write( " $\".18w+=+1.26\"$
\n" ); document.write( " $\"w+=+7\"$
\n" ); document.write( "7 pounds of walnuts are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"2.4w+%2B+9+=+2.58m\"$
\n" ); document.write( " $\"2.4%2A7+%2B+9+=+2.58m\"$
\n" ); document.write( " $\"16.8+%2B+9+=+2.58m\"$
\n" ); document.write( " $\"2.58m+=+25.8\"$
\n" ); document.write( " $\"m+=+10\"$
\n" ); document.write( "and
\n" ); document.write( " $\"m+=+3+%2B+w\"$
\n" ); document.write( " $\"10+=+3+%2B+7\"$
\n" ); document.write( " $\"10+=+10\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );