Main Answer:
The team won 18 games.
Step-by-step explanation:
To determine the number of games the team won, we first consider the given win-lost ratio of 3 to 2. This ratio indicates that for every 3 wins, there are 2 losses. In other words, the team's total games can be divided into sets of 3 wins and 2 losses.
Since the team played 30 games without a tie, we can organize these games into sets based on the win-lost ratio. Each set corresponds to 3 wins and 2 losses, totaling 5 games. Dividing the total number of games (30) by the number of games in each set (5) gives the number of sets played, which is 6.
Now, since each set has 3 wins, multiplying the number of sets (6) by the number of wins in each set (3) provides the total number of games won: 18. Therefore, the team won 18 out of the 30 games played. This logical approach helps to efficiently deduce the number of wins based on the given win-lost ratio and the total number of games played.