document.write( "Question 988546: A grocer mixes peanuts that cost 1.47 per pound and walnuts that cost 2.67 per pound to make 100 pounds of mixture that cost 2.43 per pound.how much of each kind is put into the mixture \n" ); document.write( "
Algebra.Com's Answer #609108 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) \"+a+%2B+b+=+100+\"
\n" ); document.write( "(2) \"+%28+1.47a+%2B+2.67b+%29+%2F+100+=+2.43+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) \"+1.47a+%2B+2.67b+=+243+\"
\n" ); document.write( "(2) \"+147a+%2B+267b+=+24300+\"
\n" ); document.write( "Multiply both sides of (1) by \"+147+\"
\n" ); document.write( "and subtract (1) from (2)
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\n" ); document.write( "(2) \"+147a+%2B+267b+=+24300+\"
\n" ); document.write( "(1) \"+-147a+-+147b+=+-14700+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+120b+=+9600+\"
\n" ); document.write( "\"+b+=+80+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+80+=+100+\"
\n" ); document.write( "(1) \"+a+=+20+\"
\n" ); document.write( "---------------------
\n" ); document.write( "20 pounds of peanuts are needed
\n" ); document.write( "80 pounds of walnuts are needed
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+1.47a+%2B+2.67b+%29+%2F+100+=+2.43+\"
\n" ); document.write( "(2) \"+%28+1.47%2A20+%2B+2.67%2A80+%29+%2F+100+=+2.43+\"
\n" ); document.write( "(2) \"+%28+29.4+%2B+213.6+%29+%2F+100+=+2.43+\"
\n" ); document.write( "(2) \"+243%2F100+=+2.43+\"
\n" ); document.write( "(2) \"+243+=+243+\"
\n" ); document.write( "OK\r
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