document.write( "Question 162284: Hockey teams receive 2 points when they win and 1 point when the tie. One season, a team won a championship with 61 points. They won 11 more games than they tied. How many wins and how many ties did the team have?\r
\n" ); document.write( "\n" ); document.write( "How many wins did the team have?\r
\n" ); document.write( "\n" ); document.write( "How many ties did the team have? \n" ); document.write( "

Algebra.Com's Answer #119595 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"w\"$ = the number of wins
\n" ); document.write( "Let $\"t\"$ = the number of ties
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"w+=+t+%2B+11\"$
\n" ); document.write( "(2) $\"2w+%2B+t+=+61\"$
\n" ); document.write( "Substitute $\"w\"$ in (1) for $\"w\"$ in (2)
\n" ); document.write( " $\"2%2A%28t+%2B+11%29+%2B+t+=+61\"$
\n" ); document.write( " $\"2t+%2B+22+%2B+t+=+61\"$
\n" ); document.write( " $\"3t+=+39\"$
\n" ); document.write( " $\"t+=+13\"$
\n" ); document.write( " $\"w+=+t+%2B+11\"$
\n" ); document.write( " $\"w+=+24\"$
\n" ); document.write( "The team had 24 wins and 13 ties
\n" ); document.write( "check:
\n" ); document.write( " $\"2w+%2B+t+=+61\"$
\n" ); document.write( " $\"2%2A24+%2B+13+=+61\"$
\n" ); document.write( " $\"48+%2B+13+=+61\"$
\n" ); document.write( " $\"61+=+61\"$
\n" ); document.write( "OK \n" ); document.write( "

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