SOLUTION: a minor league baseball team plays 77 games in a season. If the team won 17 more than twice as many games as they lost, how many wins and losses did the team have

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Question 854508: a minor league baseball team plays 77 games in a season. If the team won 17 more than twice as many games as they lost, how many wins and losses did the team have

Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a minor league baseball team plays 77 games in a season. If the team won 17 more than twice as many games as they lost, how many wins and losses did the team have
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let x=number of games lost
2x+17=number of games won
x+(2x+17)=77
3x+17=77
3x=60
x=20
2x+17=57
number of games lost=20
number of games won=57

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +W+ = number of games they won
Let +L+ = number of games they lost
------------------------------------
(1) +W+%2B+L+=+77+
(2) +W+=+2L+%2B+17+
-------------------
substitute (2) into (1)
(1) +2L+%2B+17+%2B+L+=+77+
(1) +3L++=+77+-+17+
(1) +3L+=+60+
(1) +L+=+20+
and, since
(1) +W+%2B+L+=+77+
(1) +W+%2B+20+=+77+
(1) +W+=+57+
There were 20 losses and 57 wins
check:
(2) +W+=+2L+%2B+17+
(2) +57+=+2%2A20+%2B+17+
(2) +57+=+40+%2B+17+
(2) +57+=+57+
OK