document.write( "Question 1027733: How many pounds of nuts selling for $12 per lb and raisins selling for $6 per lb should a person combine to obtain 90 lb of a trail mix selling for $8 per lb \n" ); document.write( "
Algebra.Com's Answer #642937 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of nuts needed
\n" ); document.write( "Let \"+b+\" = pounds of raisins needed
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+90+\"
\n" ); document.write( "(2) \"+%28+12a+%2B+6b+%29+%2F+90+=+8+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) \"+12a+%2B+6b+=+8%2A90+\"
\n" ); document.write( "(2) \"+12a+%2B+6b+=+720+\"
\n" ); document.write( "(2) \"+2a+%2B+b+=+120+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+b+=+120+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-90+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+a+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+30+%2B+b+=+90+\"
\n" ); document.write( "(1) \"+b+=+60+\"
\n" ); document.write( "------------------
\n" ); document.write( "30 pounds of nuts are needed
\n" ); document.write( "60 pounds of raisins are needed
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+12a+%2B+6b+%29+%2F+90+=+8+\"
\n" ); document.write( "(2) \"+%28+12%2A30+%2B+6%2A60+%29+%2F+90+=+8+\"
\n" ); document.write( "(2) \"+%28+360+%2B+360+%29+%2F+90+=+8+\"
\n" ); document.write( "(2) \"+720%2F90+=+8+\"
\n" ); document.write( "(2) \"+720+=+720+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );