Final answer:
To find the ordered pair that represents the total number of coaches and players in the entire league, set up a proportion using the relationship between the number of coaches and players for Jin's team and his twin sister's team. Solve the proportion to find the ordered pair that satisfies the relationship. The ordered pair (4, 22) or (2, 11) could represent the total number of coaches and players in the entire league.
Step-by-step explanation:
To find the ordered pair that represents the total number of coaches and players in the entire league, we need to determine the relationship between the number of coaches and players for Jin's team and his twin sister's team.
Since the relationship between the number of coaches and players is proportional throughout the league, we can set up a proportion to find the total number of coaches and players.
Let's assume the total number of coaches and players in the entire league is represented by (C, P).
For Jin's team, the proportion would be: 4 coaches / 22 players = C / P.
For his twin sister's team, the proportion would be: 2 coaches / 11 players = C / P.
Setting the two proportions equal to each other, we have: 4/22 = 2/11.
Cross multiplying, we get: 4 * 11 = 2 * 22.
Simplifying, we get: 44 = 44.
Therefore, the ordered pair (4, 22) or (2, 11) could represent the total number of coaches and players in the entire league.