document.write( "Question 147176: Soy bean 16% protein; corn meal 8% protein; How many pounds of each should be mixed together in order to get 320-lb mixture that is 11%protein. \n" ); document.write( "
Algebra.Com's Answer #107510 by nerdybill(7384)\"\" \"About 
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Soy bean 16% protein; corn meal 8% protein; How many pounds of each should be mixed together in order to get 320-lb mixture that is 11% protein.
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\n" ); document.write( "Let x = pounds of soy beans
\n" ); document.write( "and y = pounds of corn meal
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\n" ); document.write( "Since we have two unknowns we MUST find two equations.
\n" ); document.write( "Equation 1 we extract from the fact that the total weight is 320 pounds:
\n" ); document.write( "x + y = 320
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\n" ); document.write( "Equation 2 we extract from the amount of protein found in each:
\n" ); document.write( ".16x + .08y = .11(320)
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\n" ); document.write( "Solve equation 1 for y:
\n" ); document.write( "x + y = 320
\n" ); document.write( "y = 320 - x
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\n" ); document.write( "Substitute the above into equation 2 and solve for x:
\n" ); document.write( ".16x + .08y = .11(320)
\n" ); document.write( ".16x + .08(320 - x) = .11(320)
\n" ); document.write( ".16x + 25.6 - .08x = 35.2
\n" ); document.write( ".08x + 25.6 = 35.2
\n" ); document.write( ".08x = 9.6
\n" ); document.write( "x = 120 pounds (soy beans)
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\n" ); document.write( "To find corn meal, plug the above into equation 1:
\n" ); document.write( "x + y = 320
\n" ); document.write( "120 + y = 320
\n" ); document.write( "y = 200 pounds (corn meal)\r
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