document.write( "Question 263188: Soybean is 18%protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein? \n" ); document.write( "

Algebra.Com's Answer #853979 by ikleyn(53742) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Soybean is 18% protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is incorrect due to his arithmetic error.\r
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "soyabean---------------- cornmeal-------------- mix
\n" ); document.write( "18---------------------- 9---------------------16\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let quantity of soybean be x
\n" ); document.write( "quantity of cornmeal will be 360-x
\n" ); document.write( "0.18x + 0.09*(360-x) = 360*0.16
\n" ); document.write( "0.18x + 32.4 - 0.09x = 57.6
\n" ); document.write( "0.09x = 25.2
\n" ); document.write( "x = 25.2/0.09 = 280 lbs soybean, cornmeal 360-280 = 80 lbs.         <<<---===     ANSWER\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "CHECK.    $\"%280.18%2A280+%2B+0.09%2A80%29%2F360\"$ = 0.16,   or 16%.     ! correct !\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );