Question

there are 8 soccer teams for the 110 players in the league. the league wants the same number of players on each team. which explains whether or not it is possible?

it is possible to split the players into 8 teams because each team would have 13 players.
it is possible to split the players into 8 teams because each team would have 14 players.
it is not possible to split the players into 8 teams with the same number of players. it would be possible if there were a total of 100 players.
it is not possible to split the players into 8 teams with the same number of players. it would be possible if there were a total of 120 players.

Explanation:

Identify the given values and target

Using the Divisibility knowledge point

$$
LATEXBLOCK0
$$

Perform the division

Using the Long Division Steps knowledge point

$$
LATEXBLOCK1
$$

Evaluate the alternative scenarios

Using the Divisibility knowledge point

$$
LATEXBLOCK2
$$

Answer:

• It is possible to split the players into 8 teams because each team would have 13 players.
• It is possible to split the players into 8 teams because each team would have 14 players.
• It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 100 players.
• It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 120 players. (Correct answer)