document.write( "Question 185934: Soybean meal in 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein? \n" ); document.write( "

Algebra.Com's Answer #139446 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = pounds of soybean meal needed
\n" ); document.write( "Let $\"c\"$ = pounds of cornmeal needed
\n" ); document.write( "given:
\n" ); document.write( " $\".16s\"$ = pounds of protein in soybean meal needed
\n" ); document.write( " $\".08c\"$ = pounds of protein in cornmeal needed
\n" ); document.write( " $\"320\"$ = pounds of final mixture
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"%28.16s+%2B+.08c%29%2F320+=+.1\"$
\n" ); document.write( "(2) $\"s+%2B+c+=+320\"$
\n" ); document.write( "Multiply both sides of (1) by $\"320\"$
\n" ); document.write( "(1) $\".16s+%2B+.08c+=+.1%2A320\"$
\n" ); document.write( "(1) $\".16s+%2B+.08c+=+32\"$
\n" ); document.write( "Multiply both sides of (2) by $\".08\"$
\n" ); document.write( "(2) $\".08s+%2B+.08c+=+25.6\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\".16s+%2B+.08c+=+32\"$
\n" ); document.write( "(2) $\"-.08s+-+.08c+=+-25.6\"$
\n" ); document.write( "(3) $\".08s+=+6.4\"$
\n" ); document.write( "(3) $\"s+=+80\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"s+%2B+c+=+320\"$
\n" ); document.write( "(2) $\"80+%2B+c+=+320\"$
\n" ); document.write( "(2) $\"c+=+240\"$
\n" ); document.write( "80 pounds of soybean meal and 240 pounds of cornmeal
\n" ); document.write( "are needed
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"%28.16%2A80+%2B+.08%2A240%29%2F320+=+.1\"$
\n" ); document.write( "(1) $\"%2812.8+%2B+19.2%29%2F320+=+.1\"$
\n" ); document.write( "(1) $\"32%2F320+=+.1\"$
\n" ); document.write( "(1) $\".1+=+.1\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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