document.write( "Question 210054: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins.
\n" ); document.write( "How many pounds of cornmeal?
\n" ); document.write( "How many pounds of soybean?
\n" ); document.write( "

Algebra.Com's Answer #159130 by josmiceli(19441)\"\" \"About 
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Let \"c\" = pounds of cornmeal needed
\n" ); document.write( "Let \"s\" = pounds of soybean needed
\n" ); document.write( "given:
\n" ); document.write( "protein in soybean meal = \".12s\"
\n" ); document.write( "protein in cornmeal = \".06c\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "In words:
\n" ); document.write( "(lbs of soybean protein + lbs of cornmeal protein)/(lbs of mixture) = 9%
\n" ); document.write( "\"%28.12s+%2B+.06c%29+%2F+240+=+.09\"
\n" ); document.write( "\".12s+%2B+.06c+=+21.6\"
\n" ); document.write( "(1) \"12s+%2B+6c+=+2160\"
\n" ); document.write( "also
\n" ); document.write( "(2) \"s+%2B+c+=+240\"
\n" ); document.write( "Multiply both sides of (2) by 6 and subtract from (1)
\n" ); document.write( "\"12s+%2B+6c+=+2160\"
\n" ); document.write( "\"-6s+-+6c+=+-1440\"
\n" ); document.write( "\"6s+=+720\"
\n" ); document.write( "\"s+=+120\" lbs
\n" ); document.write( "and
\n" ); document.write( "\"s+%2B+c+=+240\"
\n" ); document.write( "\"120+%2B+c+=+240\"
\n" ); document.write( "\"c+=+120\" lbs
\n" ); document.write( "120 pounds of soybean and 120 pounds of cornmeal are needed
\n" ); document.write( "check:
\n" ); document.write( "\".12s+=+.12%2A120\"
\n" ); document.write( "\".12s+=+14.4\"
\n" ); document.write( "and
\n" ); document.write( "\".06c+=+.06%2A120\"
\n" ); document.write( "\".06c+=+7.2\"
\n" ); document.write( "\"%28.12s+%2B+.06c%29+%2F+240+=+.09\"
\n" ); document.write( "\"%2814.4+%2B+7.2%29%2F240+=+.09\"
\n" ); document.write( "\"21.6%2F240+=+.09\"
\n" ); document.write( "\"21.6+=+21.6\"
\n" ); document.write( "OK\r
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