SOLUTION: a team plays 117 games in a season. if the team won 17 more than three times as many games as they lost, how many wins and losses did the team have?

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Question 574821: a team plays 117 games in a season. if the team won 17 more than three times as many games as they lost, how many wins and losses did the team have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let wins = +W+
Let losses = +L+
given:
(1) +W+%2B+L+=+117+
(2) +W+=+3L+%2B+17+
-----------------
Substitute (2) into (1)
(1) +3L+%2B+17+%2B+L+=+117+
(1) +4L+=+100+
(1) +L+=+25+
and, since
(2) +W+=+3L+%2B+17+
(2) +W+=+3%2A25+%2B+17+
(2) +W+=+75+%2B+17+
(2) +W+=+92+
The team had 92 wins and 25 losses