document.write( "Question 178279: Soybean meal is 16% protein and cornmeal is 8% protien, how many pounds of each should be mixed together in order to get 320lb mixture that is 13% protein? \n" ); document.write( "
Algebra.Com's Answer #133240 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( "(pounds of protein in soybean meal + pounds of protein in cornmeal) /
\n" ); document.write( "(total pounds of soybean and cornmeal) = % protein
\n" ); document.write( "given:
\n" ); document.write( "(1) \"a+%2B+b+=+320\"
\n" ); document.write( "(2) \"%28.16a+%2B+.08b%29%2F%28a+%2B+b%29+=+.13\"
\n" ); document.write( "\"%28.16a+%2B+.08b%29%2F320+=+.13\"
\n" ); document.write( "\".16a+%2B+.08b+=+.13%2A320\"
\n" ); document.write( "(3)\".16a+%2B+.08b+=+41.6\"
\n" ); document.write( "Multiply both sides of (1) by \".08\" and subtract from (3)
\n" ); document.write( "(3) \".16a+%2B+.08b+=+41.6\"
\n" ); document.write( "(1) \"-.08a+-+.08b+=+-25.6\"
\n" ); document.write( "\".08a+=+16\"
\n" ); document.write( "\"a+=+200\"
\n" ); document.write( "And, since
\n" ); document.write( "(1) \"a+%2B+b+=+320\"
\n" ); document.write( "\"200+%2B+b+=+320\"
\n" ); document.write( "\"b+=+120\"
\n" ); document.write( "200 pounds of soybean meal are needed and
\n" ); document.write( "120 pounds of cornmeal are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"%28.16a+%2B+.08b%29%2F%28a+%2B+b%29+=+.13\"
\n" ); document.write( "\"%28.16%2A200+%2B+.08%2A120%29%2F320+=+.13\"
\n" ); document.write( "\"%2832+%2B+9.6%29%2F320+=+.13\"
\n" ); document.write( "\"41.6%2F320+=+.13\"
\n" ); document.write( "\"41.6+=+41.6\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );