document.write( "Question 1005331: A storekeeper wishes to sell 100 pounds of mixed nuts for $1.75 a pound. He mixes peanuts worth $1.65 a pound with cashews worth $1.90 a pound. How many pounds of each does he use? \n" ); document.write( "

Algebra.Com's Answer #621640 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of peanuts used
\n" ); document.write( "Let

\n" ); document.write( "(2) $\"+%28+165a+%2B+190b+%29+%2F+100+=+175+\"$ ( in cents )
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(2) $\"+165a+%2B+190b+=+17500+\"$
\n" ); document.write( "(2) $\"+33a+%2B+38b+=+3500+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+33+\"$ and subtract (1) from (2)
\n" ); document.write( "(2) $\"+33a+%2B+38b+=+3500+\"$
\n" ); document.write( "(1) $\"+-33a+-+33b+=+-3300+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+5b+=+200+\"$
\n" ); document.write( " $\"+b+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+100+\"$
\n" ); document.write( "(1) $\"+a+=+60+\"$
\n" ); document.write( "60 pounds of peanuts are used
\n" ); document.write( "40 pounds of cashews are used
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+165a+%2B+190b+%29+%2F+100+=+175+\"$
\n" ); document.write( "(2) $\"+%28+165%2A60+%2B+190%2A40+%29+%2F+100+=+175+\"$
\n" ); document.write( "(2) $\"+%28+9900+%2B+7600+%29+%2F+100+=+175+\"$
\n" ); document.write( "(2) $\"+17500+=+175%2A100+\"$
\n" ); document.write( "(2) $\"+17500+=+17500+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );