document.write( "Question 452313: Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280lb mixture that is 13% protein?
\n" ); document.write( "How many pounds of the cornmeal should be in mixture?
\n" ); document.write( "How many pounds of the soybean meal should be in mixture?\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Missy
\n" ); document.write( "

Algebra.Com's Answer #310967 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Soybean meal is 14% protein; cornmeal is 7% protein.
\n" ); document.write( " How many pounds of each should be mixed together in order to get 280lb mixture that is 13% protein?
\n" ); document.write( "How many pounds of the cornmeal should be in mixture?
\n" ); document.write( "How many pounds of the soybean meal should be in mixture?
\n" ); document.write( ":
\n" ); document.write( "Let s = amt of soy
\n" ); document.write( "Let c = amt of corn
\n" ); document.write( ":
\n" ); document.write( "Write two equations, one for total amt, another for percent protein
\n" ); document.write( ":
\n" ); document.write( "s + c = 280
\n" ); document.write( "c = (280-s); use this form for substitution
\n" ); document.write( "and
\n" ); document.write( ".14s + .07c = .13(280)
\n" ); document.write( "replace c with (280-s)
\n" ); document.write( ".14s + .07(280-s) = 36.4
\n" ); document.write( ".14s + 19.6 - .07s = 36.3
\n" ); document.write( ".14s - .07s = 36.4 - 19.6
\n" ); document.write( ".07s = 16.8
\n" ); document.write( "s = \"16.8%2F.07\"
\n" ); document.write( "s = 240 lb of soy required
\n" ); document.write( "then
\n" ); document.write( "280 - 240 = 40 lb of corn required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out:
\n" ); document.write( ".14(240) + .07(40) = .13(280)
\n" ); document.write( "33.6 + 2.8 = 36.4; confirm our solutions
\n" ); document.write( "
\n" );