document.write( "Question 631963: 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 12% protein?\r
\n" ); document.write( "\n" ); document.write( "How the heck do I obtain the results? I understand converting the % to decimals, but now how to set this one up. Help asap is very appreciated.
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Algebra.Com's Answer #397932 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of soybean meal needed
\n" ); document.write( "Let \"+b+\" = pounds of cornmeal needed
\n" ); document.write( "\"+.14a+\" = pounds of protein in soybean meal needed
\n" ); document.write( "\"+.07b+\" = pounds of protein in cornmeal needed
\n" ); document.write( "------------
\n" ); document.write( "(1) \"+a+%2B+b+=+280+\"
\n" ); document.write( "(2) \"+%28+.14a+%2B+.07b+%29+%2F+280+=+.12+\"
\n" ); document.write( "------------
\n" ); document.write( "(2) \"+.14a+%2B+.07b+=+.12%2A280+\"
\n" ); document.write( "(2) \"+.14a+%2B+.07b+=+33.6+\"
\n" ); document.write( "(2) \"+14a+%2B+7b+=+3360+\"
\n" ); document.write( "(2) \"+2a+%2B+b+=+480+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+b+=+480+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-280+\"
\n" ); document.write( "\"+a+=+200+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+280+\"
\n" ); document.write( "(1) \"+200+%2B+b+=+280+\"
\n" ); document.write( "(1) \"+b+=+80+\"
\n" ); document.write( "200 pounds of soybean meal are needed
\n" ); document.write( "80 pounds of cornmeal are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.14a+%2B+.07b+%29+%2F+280+=+.12+\"
\n" ); document.write( "(2) \"+%28+.14%2A200+%2B+.07%2A80+%29+%2F+280+=+.12+\"
\n" ); document.write( "(2) \"+%28+28+%2B+5.6+%29+%2F+280+=+.12+\"
\n" ); document.write( "(2) \"+33.6+=+.12%2A280+\"
\n" ); document.write( "(2) \"+33.6+=+33.6+\"
\n" ); document.write( "OK
\n" ); document.write( "
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