document.write( "Question 477048: Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein ? \n" ); document.write( "
Algebra.Com's Answer #327053 by josmiceli(19441)\"\" \"About 
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Let \"a\" = pounds of soybean meal needed
\n" ); document.write( "Let \"b\" = pounds of cornmeal needed
\n" ); document.write( "In words:
\n" ); document.write( "(total pounds of protein in final mixture) / (total pounds in final mixture) = 13%
\n" ); document.write( "given:
\n" ); document.write( "\"+.16a+\" = pounds of protein in soybean meal
\n" ); document.write( "\"+.08b+\" = pounds of protein in cornmeal
\n" ); document.write( "(1) \"+a+%2B+b+=+320+\"
\n" ); document.write( "(2) \"+%28+.16a+%2B+.08b+%29+%2F+320+=+.13+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+320+\"
\n" ); document.write( "(2) \"+.16a+%2B+.08b+=+41.6+\"
\n" ); document.write( "Multiply both sides by \"+100+\"
\n" ); document.write( "(2) \"+16a+%2B+8b+=+4160+\"
\n" ); document.write( "Divide both sides by \"8\"
\n" ); document.write( "(2) \"+2a+%2B+b+=+520+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+b+=+520+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-320+\"
\n" ); document.write( "\"+a+=+200+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+320+\"
\n" ); document.write( "(1) \"+200+%2B+b+=+320+\"
\n" ); document.write( "(1) \"+b+=+120+\"
\n" ); document.write( "200 pounds of soybean meal and 120 pounds
\n" ); document.write( "of cornmeal need to be mixed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+.16a+%2B+.08b+%29+%2F+320+=+.13+\"
\n" ); document.write( "(2) \"+%28+.16%2A200+%2B+.08%2A120+%29+%2F+320+=+.13+\"
\n" ); document.write( "(2) \"+%28+32+%2B+9.6+%29+%2F+320+=+.13+\"
\n" ); document.write( "(2) \"+41.6+%2F+320+=+.13+\"
\n" ); document.write( "(2) \"+41.6+=+41.6+\"
\n" ); document.write( "OK
\n" ); document.write( "
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