document.write( "Question 831074: A butcher has some hamburger that is 18% fat and some that is 15% fat. How many pounds of each should be mixed to make 87 lb of hamburger that is 16% fat? \n" ); document.write( "
Algebra.Com's Answer #501121 by josmiceli(19441)\"\" \"About 
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Let \"a\" = pounds of meat with 18% fat needed
\n" ); document.write( "Let \"b\" = pounds of meat with 15% fat needed
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+87+\"
\n" ); document.write( "(2) \"+%28+.18a+%2B+.15b+%29+%2F+87+=+.16+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) \"+.18a+%2B+.15b+=+.16%2A87+\"
\n" ); document.write( "(2) \"+.18a+%2B+.15b+=+13.92+\"
\n" ); document.write( "(2) \"+18a+%2B+15b+=+1392+\"
\n" ); document.write( "Multiply both sides of (1) by \"15\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+18a+%2B+15b+=+1392+\"
\n" ); document.write( "(1) \"+-15a+-+15b+=+-1305+\"
\n" ); document.write( "\"+3a+=+87+\"
\n" ); document.write( "\"+a+=+29+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+87+\"
\n" ); document.write( "(1) \"+29+%2B+b+=+87+\"
\n" ); document.write( "(1) \"+b+=+58+\"
\n" ); document.write( "29 pounds of meat with 18% fat are needed
\n" ); document.write( "58 pounds of meat with 15% fat are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.18%2A29+%2B+.15%2A58+%29+%2F+87+=+.16+\"
\n" ); document.write( "(2) \"+%28+5.22+%2B+8.7+%29+%2F+87+=+.16+\"
\n" ); document.write( "(2) \"+13.92+=+.16%2A87+\"
\n" ); document.write( "(2) \"+13.92+=+13.92+\"
\n" ); document.write( "OK
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