document.write( "Question 972705: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use? \n" ); document.write( "

Algebra.Com's Answer #594954 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of peanuts needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of walnuts needed
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+%28+.9a+%2B+1.6b+%29+%2F+175+=+1.3+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+175+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+.9a+%2B+1.6b+=+1.3%2A175+\"$
\n" ); document.write( "(1) $\"+.9a+%2B+1.6b+=+227.5+\"$
\n" ); document.write( "(1) $\"+9a+%2B+16b+=+2275+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+9+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+9a+%2B+16b+=+2275+\"$
\n" ); document.write( "(2) $\"+-9a+-+9b+=+-1575+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+7b+=+700+\"$
\n" ); document.write( " $\"+b+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+100+=+175+\"$
\n" ); document.write( "(2) $\"+a+=+75+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "75 pounds of peanuts and 100 pounds
\n" ); document.write( "of walnuts are needed
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+%28+.9a+%2B+1.6b+%29+%2F+175+=+1.3+\"$
\n" ); document.write( "(1) $\"+%28+.9%2A75+%2B+1.6%2A100+%29+%2F+175+=+1.3+\"$
\n" ); document.write( "(1) $\"+%28+67.5+%2B+160+%29+%2F+175+=+1.3+\"$
\n" ); document.write( "(1) $\"+227.5+%2F+175+=+1.3+\"$
\n" ); document.write( "(1) $\"+227.5+=+227.5+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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