document.write( "Question 347639: \n" ); document.write( "

Algebra.Com's Answer #248541 by edjones(8007) $\"\"$ $\"About$

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The 1st round is the tough one.
\n" ); document.write( "There will be some matches with some players going on to the next round without playing (byes)
\n" ); document.write( "The number of people playing must remain at 78 while the number of matches plus byes must equal 64. Let m=number of matches and b=number of byes.
\n" ); document.write( "2m+b=78
\n" ); document.write( "m+b=64
\n" ); document.write( "--------subtract
\n" ); document.write( "m=14
\n" ); document.write( "b=50
\n" ); document.write( ".
\n" ); document.write( "Int the 1st round there are 14 matches.
\n" ); document.write( "then:
\n" ); document.write( "32
\n" ); document.write( "16
\n" ); document.write( "08
\n" ); document.write( "04
\n" ); document.write( "02
\n" ); document.write( "01
\n" ); document.write( "---
\n" ); document.write( "63
\n" ); document.write( ".
\n" ); document.write( "63 + 14 = 77 matches total were played.
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\n" ); document.write( "Ed
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