document.write( "Question 665218: soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein. Please explain with a table if possible \n" ); document.write( "
Algebra.Com's Answer #413725 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The way I do it is to solve it in a straightforward way,
\n" ); document.write( "and then I can build any kind of table I want
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\n" ); document.write( "Let \"+a+\" = pounds of soybean meal needed
\n" ); document.write( "Let \"+b+\" = pounds of corn meal needed
\n" ); document.write( "\"+.16a+\" = pounds of protein in \"+a+\" pounds of soybean meal
\n" ); document.write( "\"+.09b+\" = pounds of protein in \"+b+\" pounds of cornmeal
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\n" ); document.write( "(1) \"+a+%2B+b+=+350+\"
\n" ); document.write( "(2) \"+%28+.16a+%2B+.09b+%29+%2F+350+=+.12+\"
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\n" ); document.write( "(2) \"+.16a+%2B+.09b+=+.12%2A350+\"
\n" ); document.write( "(2) \"+.16a+%2B+.09b+=+42+\"
\n" ); document.write( "(2) \"+16a+%2B+9b+=+4200+\"
\n" ); document.write( "Multiply both sides of (1) by \"9\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+16a+%2B+9b+=+4200+\"
\n" ); document.write( "(1) \"+-9a+-+9b+=+-3150+\"
\n" ); document.write( "\"+7a+=+1050+\"
\n" ); document.write( "\"+a+=+150++\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+350+\"
\n" ); document.write( "(1) \"+150+%2B+b+=+350+\"
\n" ); document.write( "(1) \"+b+=+200+\"
\n" ); document.write( "150 pounds of soybean meal are needed
\n" ); document.write( "200 pounds of corn meal are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+.16%2A150+%2B+.09%2A200+%29+%2F+350+=+.12+\"
\n" ); document.write( "(2) \"+%28+24+%2B+18+%29+%2F+350+=+.12+\"
\n" ); document.write( "(2) \"+42+%2F+350+=+.12+\"
\n" ); document.write( "(2) \"+42+=+.12%2A350+\"
\n" ); document.write( "(2) \"+42+=+42+\"
\n" ); document.write( "OK- now you can make a table\r
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