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?

Question

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.

Answer 1

To determine if it is possible to split 110 players into 8 teams with the same number of players, you need to check if 110 is divisible by 8.

Calculating this gives:

\[ 110 \div 8 = 13.75 \]

Since 13.75 is not a whole number, it is not possible to split 110 players into 8 teams with the same number of players.

Now, let's evaluate the statements provided:

1. It is possible to split the players into 8 teams because each team would have 13 players. (This is incorrect.)
2. It is possible to split the players into 8 teams because each team would have 14 players. (This is incorrect.)
3. 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. (This is correct, as 100 is divisible by 8, which equals 12.5.)
4. 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. (This is correct, as 120 is divisible by 8, which equals 15.)

Based on this analysis, options 3 and 4 correctly explain the situation regarding the division of players into teams.