Answer
They must win at least 37 games.
Work Step by Step
Let x represent the number of games they have to win.
They have won 45, lost 55, and have 62 more to play.
So, they will play a total of 45 + 55 + 62 = 162 games.
They need to win more than 50% of their games.
50% $\times$ 162 = 81.
So, they need to win more than 81 games.
In total, they will win 45 + x.
Now, we solve the following inequality.
x + 45 $\gt$ 81
x $\gt$ 36
They must win more than 36 games, which means they must win at least 37 games.
