document.write( "Question 126279: The manager of a coffee shop sells chocolate covered peanuts for $6 dollars per pound and chocolate covered cashews for $15 dollars per pound. The manager wishes to mix 70 pounds of the cashews to get a cashew-peanut mixture that will sell for $13 dollars per pound. How many pounds of peanuts should be used? \n" ); document.write( "

Algebra.Com's Answer #92510 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = pounds of peanuts needed
\n" ); document.write( "Let $\"c\"$ = pounds of cashews needed
\n" ); document.write( " $\"c+=+70\"$ given
\n" ); document.write( "In words:
\n" ); document.write( "(price of peanuts used)+(price of casews used)/(pounds of mixture) = price/pound
\n" ); document.write( " $\"%286p+%2B+15c%29+%2F+%28p+%2B+c%29+=+13\"$
\n" ); document.write( " $\"%286p+%2B+15%2A70%29+%2F+%28p+%2B+70%29+=+13\"$
\n" ); document.write( " $\"6p+%2B+1050+=+13p+%2B++910\"$
\n" ); document.write( " $\"7p+=+1050+-+910\"$
\n" ); document.write( " $\"7p+=+140\"$
\n" ); document.write( " $\"p+=+20\"$ answer
\n" ); document.write( "20 pounds of peanuts should be used
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%286p+%2B+15c%29+%2F+%28p+%2B+c%29+=+13\"$
\n" ); document.write( " $\"%286%2A20+%2B+15%2A70%29+%2F+%2820+%2B+70%29+=+13\"$
\n" ); document.write( " $\"%28120+%2B+1050%29+%2F+90+=+13\"$
\n" ); document.write( " $\"1170+%2F+90+=+13\"$
\n" ); document.write( " $\"13+=+13\"$
\n" ); document.write( "OK \n" ); document.write( "

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