document.write( "Question 557001: emily is employed by sunset foods. she was instructed to create 30 pund mixture of peanuts that sell for 3.25 per pound and pecans that sell for 5.75 per pound. this mixture is to be worth 4.75 per pound. how many pounds of peanuts and pecans must be used? \n" ); document.write( "

Algebra.Com's Answer #362380 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = pounds of peanuts needed
\n" ); document.write( "Let $\"b\"$ = pounds of pecans needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+30+\"$ pounds
\n" ); document.write( "(2) $\"+%28+3.25a+%2B+5.75b+%29+%2F+30+=+4.75+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+3.25a+%2B+5.75b+=+4.75%2A30+\"$
\n" ); document.write( "(2) $\"+3.25a+%2B+5.75b+=+142.5+\"$
\n" ); document.write( "(2) $\"+325a+%2B+575b+=+14250+\"$
\n" ); document.write( "(2) $\"+13a+%2B+23b+=+570+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+13+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+13a+%2B+23b+=+570+\"$
\n" ); document.write( "(1) $\"+-13a+-+13b+=+-390+\"$
\n" ); document.write( " $\"+10b+=+180+\"$
\n" ); document.write( " $\"+b+=+18+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+30+\"$
\n" ); document.write( "(1) $\"+a+%2B+18+=+30+\"$
\n" ); document.write( "(1) $\"+a+=+12+\"$
\n" ); document.write( "12 pounds of peanuts are needed
\n" ); document.write( "18 pounds of pecans are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+3.25%2A12+%2B+5.75%2A18+%29+%2F+30+=+4.75+\"$
\n" ); document.write( "(2) $\"+%28+39+%2B+103.5+%29+%2F+30+=+4.75+\"$
\n" ); document.write( "(2) $\"+142.5+%2F+30+=+4.75+\"$
\n" ); document.write( "(2) $\"+142.5+=+142.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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