document.write( "Question 722190: Cashews sell for $5.00 a pound and peanuts sell for $2.00 a pound. How many pounds of each would you use to make 25 pounds of a mixure that sells for $92.oo? \n" ); document.write( "

Algebra.Com's Answer #442666 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+c+\"$ = pounds of cashews needed
\n" ); document.write( "Let $\"+p+\"$ = pounds of peanuts needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+c+%2B+p+=+25+\"$
\n" ); document.write( "(2) $\"+5c+%2B+2p+=+92+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5c+%2B+2p+=+92+\"$
\n" ); document.write( "(1) $\"+-2c+-+2p+=+-50+\"$
\n" ); document.write( " $\"+3c+=+42+\"$
\n" ); document.write( " $\"+c+=+14+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+c+%2B+p+=+25+\"$
\n" ); document.write( "(1) $\"+14+%2B+p+=+25+\"$
\n" ); document.write( "(1) $\"+p+=+11+\"$
\n" ); document.write( "14 pounds of cashews are needed
\n" ); document.write( "11 pounds of peanuts are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5c+%2B+2p+=+92+\"$
\n" ); document.write( "(2) $\"+5%2A14+%2B+2%2A11+=+92+\"$
\n" ); document.write( "(2) $\"+70+%2B+22+=+92+\"$
\n" ); document.write( "(2) $\"+92+=+92+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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