Final answer:
Ruby won 28 games and Thomas won 16 games out of the 80 games played. By subtracting the total number of games won from the total games played, we find that they drew in 36 games.
Step-by-step explanation:
To solve this problem, we first need to calculate the total number of games Ruby and Thomas won. According to the question, Ruby won 35% of the games, and Thomas won 20% of the games. To find out the number of games they won, we will apply these percentages to the total number of games played.
Ruby's wins = 35% of 80 games = 0.35 × 80 = 28 games
Thomas's wins = 20% of 80 games = 0.20 × 80 = 16 games
Adding Ruby's wins to Thomas's wins gives us the total number of games that were not drawn:
Total games won = Ruby's wins + Thomas's wins = 28 games + 16 games = 44 games
The number of drawn games is then the total games played minus the total games won:
Drawn games = Total games - Total games won = 80 games - 44 games = 36 games.
Therefore, Ruby and Thomas drew 36 games out of the 80 games they played.