document.write( "Question 779027: A candy store has covered almonds for $6.50 per pound and covered peanuts for $4.00 per pound. The owner wants to sell a mix of the two combined for $5.00 per pound and keep the revenue of selling the mix and from selling the almonds and peanuts alone equal. How many pounds each of the almonds and peanuts are required to create 50 pounds of the mix? \n" ); document.write( "

Algebra.Com's Answer #475053 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of almonds needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of peanuts needed
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+%28+6.5a+%2B+4b+%29+%2F+50+=+5++\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+50+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"+6.5a+%2B+4b+=+250+\"$
\n" ); document.write( "(1) $\"+65a+%2B+40b+=+2500+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+40+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+65a+%2B+40b+=+2500+\"$
\n" ); document.write( "(2) $\"+-40a+-+40b+=+-2000+\"$
\n" ); document.write( " $\"+25a+=+500+\"$
\n" ); document.write( " $\"+a+=+20+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+%2B+b+=+50+\"$
\n" ); document.write( "(2) $\"+b+=+30+\"$
\n" ); document.write( "The owner needs 20 pounds of almonds and
\n" ); document.write( "30 pounds of peanuts
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+%28+6.5%2A20+%2B+4%2A30+%29+%2F+50+=+5++\"$
\n" ); document.write( "(1) $\"+%28+130+%2B+120+%29+%2F+50+=+5+\"$
\n" ); document.write( "(1) $\"+250+=+250+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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