Answer:
Option B.
Step-by-step explanation:
It is given that Jin’s soccer team has 4 coaches and 22 players.
[tex]\dfrac{Coaches}{Players}=\dfrac{4}{22}=\dfrac{2}{11}[/tex]
His twin sister’s team has 2 coaches and 11 players.
[tex]\dfrac{Coaches}{Players}=\dfrac{2}{11}[/tex]
So, the ratio of coaches and players is 2:11.
We need the ordered pair could represent the total number of coaches and players in the entire league if the relationship between the number of players and coaches is proportional throughout the league.
[tex]\dfrac{Coaches}{Players}=\dfrac{2}{11}\times \dfrac{12}{12}=\dfrac{24}{132}\neq \dfrac{24}{120}[/tex]
[tex]\dfrac{Coaches}{Players}=\dfrac{2}{11}\times \dfrac{13}{13}=\dfrac{26}{143}[/tex]
Ordered pair for total number of coaches and players in the entire league is 6 coaches and 143 players.
[tex]\dfrac{Coaches}{Players}=\dfrac{2}{11}\times \dfrac{14}{14}=\dfrac{28}{154}\neq \dfrac{28}{168}[/tex]
[tex]\dfrac{Coaches}{Players}=\dfrac{2}{11}\times \dfrac{15}{15}=\dfrac{30}{165}\neq \dfrac{30}{180}[/tex]
Therefore, the correct option is B.
