Respuesta :
Given:
Total number of games in a season = 122
The team won 14 more than three times as many games as they lost.
To find:
The number of wins and losses.
Solution:
Let the number of losses be x.
Then, according to the question
Number of wins = 3x+14
We know that,
Win + losses = Total number of games
[tex](3x+14)+x=122[/tex]
[tex]4x+14=122[/tex]
Subtract 14 from both sides.
[tex]4x=122-14[/tex]
[tex]4x=108[/tex]
Divide both sides by 4.
[tex]x=27[/tex]
Now,
Number of losses = 27
Number of wins [tex]=3\times 27+14[/tex]
[tex]=81+14[/tex]
[tex]=95[/tex]
Therefore, the team won 95 games and they lost 27 games.
