document.write( "Question 329365: Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 10% protein?
\n" ); document.write( "How many pounds of the cornmeal should be in the mixture?
\n" ); document.write( "How many pounds of the soybean should be in the mixture?
\n" ); document.write( "

Algebra.Com's Answer #236050 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
In words:
\n" ); document.write( "(pounds of protein in final mixture)/(pounds of final mixture) = 10%
\n" ); document.write( "-------------------
\n" ); document.write( "Let \"c\" = pounds of cornmeal in final mixture
\n" ); document.write( "Let \"s\" = pounds of soybean meal in final mixture
\n" ); document.write( "given:
\n" ); document.write( "\".14s\" = pounds of protein in soybean meal
\n" ); document.write( "\".07c\" = pounds of protein in corn meal
\n" ); document.write( "(1) \"s+%2B+c+=+280\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"%28.14s+%2B+.07c%29%2F280+=+.1\"
\n" ); document.write( "\".14s+%2B+.07c+=+28\"
\n" ); document.write( "(2) \"14s+%2B+7c+=+2800\"
\n" ); document.write( "Multiply both sides of (1) by \"7\" and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) \"14s+%2B+7c+=+2800\"
\n" ); document.write( "(1) \"-7s+-+7c+=+1960\"
\n" ); document.write( "\"7s+=+840\"
\n" ); document.write( "\"s+=+120\"
\n" ); document.write( "And, since
\n" ); document.write( "(1) \"s+%2B+c+=+280\"
\n" ); document.write( "\"120+%2B+c+=+280\"
\n" ); document.write( "\"c+=+160\"
\n" ); document.write( "160 pounds of cornmeal and
\n" ); document.write( "120 pounds of soybean meal are needed
\n" ); document.write( "check:
\n" ); document.write( "\"%28.14s+%2B+.07c%29%2F280+=+.1\"
\n" ); document.write( "\"%28.14%2A120+%2B+.07%2A160%29%2F280+=+.1\"
\n" ); document.write( "\"%2816.8+%2B+11.2%29%2F280+=+.1\"
\n" ); document.write( "\"28%2F280+=+.1\"
\n" ); document.write( "\".1+=+.1\"
\n" ); document.write( "OK\r
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