document.write( "Question 323013: soybean meal is 18% protein, cornmeal is 9% protein. how many pounds of each should be mixed together in order to get 360lb mixture that is 17% protein? \n" ); document.write( "

Algebra.Com's Answer #231223 by Fombitz(32388) $\"\"$ $\"About$

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Let S be the amount of soybeans, C cornmeal.
\n" ); document.write( "1. $\"S%2BC=360\"$
\n" ); document.write( "2. $\"18S%2B9C=17%28360%29\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"S=360-C\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"18%28360-C%29%2B9C=17%28360%29\"$
\n" ); document.write( " $\"18%28360%29-18C%2B9C=17%28360%29\"$
\n" ); document.write( " $\"-9C=17%28360%29-18%28360%29\"$
\n" ); document.write( " $\"-9C=-360\"$
\n" ); document.write( " $\"C=40\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"S%2B40=360\"$
\n" ); document.write( " $\"S=320\"$
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\n" ); document.write( "320 lbs of soybean, 40 lbs of cornmeal. \n" ); document.write( "

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