Question

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?

x
y
2
11
4
22

24 coaches and 120 players
26 coaches and 143 players
28 coaches and 168 players
30 coaches and 180 players

Answer 1

26 coaches and 143 players

Explanation:

we can set up a proportion:
`(coaches)/(players)`

Our original proportions, 4/22 and 2/11 simplify to 2/11

We basically need a proportion that simplifies to 2/11, So let's simplify each proportion

24 coaches and 120 players: 24/120 simplified ⇒ 1/5

26 coaches and 143 players: 26/143 simplified ⇒ 2/11

28 coaches and 168 players: 28/168 simplified ⇒ 1/6

30 coaches and 180 players: 30/180 simplified ⇒ 1/6

The porportion, 26 coaches and 143 players simplifies to our orginal

proportion, 2/11, therefore it is proportional

Answer 2

B :

26 coaches and 143 players

Explanation: