document.write( "Question 127483: Brazil nuts sell for $5 per pound and walnuts are sell for 3.50 per pound. How much of each type of nut would be needed to create 30 pounds of a mixture that would sell for $4 per pound? \n" ); document.write( "

Algebra.Com's Answer #93438 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"b\"$ = pounds of brazil nuts
\n" ); document.write( "Let $\"w\"$ = pounds of walnuts
\n" ); document.write( "In words:
\n" ); document.write( "(price per pounds of brazil nuts)x(pounds of brazil nuts)
\n" ); document.write( "+ (price per pound of walnuts)x(pounds of walnuts)
\n" ); document.write( "divided by
\n" ); document.write( "(pounds of mixture) = price per pound of mixture
\n" ); document.write( " $\"b+%2B+w+=+30\"$
\n" ); document.write( " $\"w+=+30+-+b\"$
\n" ); document.write( " $\"%285b+%2B+3.5w%29+%2F+30+=+4\"$
\n" ); document.write( " $\"5b+%2B+3.5w+=+120\"$
\n" ); document.write( " $\"5b+%2B+3.5%2A%2830+-+b%29+=+120\"$
\n" ); document.write( " $\"5b+%2B+105+-+3.5b+=+120\"$
\n" ); document.write( " $\"1.5b+=+15\"$
\n" ); document.write( " $\"b+=+10\"$
\n" ); document.write( " $\"w+=+30+-+10\"$
\n" ); document.write( " $\"w+=+20\"$
\n" ); document.write( "10 pounds of brazil nuts and 20 pounds of walnuts are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"5b+%2B+3.5w+=+120\"$
\n" ); document.write( " $\"5%2A10+%2B+3.5%2A20+=+120\"$
\n" ); document.write( " $\"50+%2B+70+=+120\"$
\n" ); document.write( " $\"120+=+120\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );