Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?xy211422
Answer
A
24 coaches and 120 players
B
26 coaches and 143 players
C
28 coaches and 168 players
D
30 coaches and 180 players
Explanation
The player-to-coach ratio is 22 ÷ 4 = 5.5 for Jin’s team, and 11 ÷ 2 = 5.5 for his sister’s team. So the league total must also have 5.5 players per coach. Choice B has 143 ÷ 26 = 5.5, so 26 coaches and 143 players could represent the league total.
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