Answer:
Team A = 4 players
Team B = 5 players
Team C = 1 players
Step-by-step explanation:
Each player will compete in nine matches, for a maximum total of nine points possible. Since Team C has an average score of 9, Team C can only have one player because it would be impossible for more than on player to score a nine.
The possible total scores for team B are:
[tex]B =3.6x\\x=1; B=3.6\\x=2; B=7.2\\x=3; B=10.8\\x=4; B=14.4\\x=5; B=18.0\\x=6; B=21.6\\x=7; B=25.2\\x=8; B=28.8\\x=9; B=32.4[/tex]
Since the scoring possibilities are 0, 0.5 and 1, total team score must be a multiple of 0.5. Therefore, the only possible number of players for team B is 5 (for a total score of 18.0).
If there are 10 players in total, 5 are from team B and 1 is from team C, the remaining 4 players are part of team A.
Team A = 4 players
Team B = 5 players
Team C = 1 players
