To determine whether it is possible to split 110 players into 8 teams with the same number of players, we need to divide the total number of players by the number of teams:
\[ \text{Players per team} = \frac{110 \text{ players}}{8 \text{ teams}} = 13.75 \]
Since we cannot have a fractional number of players on a team, it is not possible to split the 110 players into 8 teams with the same number of players.
Now, let’s evaluate the options:
A. It is possible to split the players into 8 teams because each team would have 13 players. (Incorrect, as each team cannot have exactly 13 players.)
B. It is possible to split the players into 8 teams because each team would have 14 players. (Incorrect, as each team cannot have exactly 14 players either.)
C. 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. (Correct, as 100 players divided by 8 teams equals 12.5 players per team, which is also incorrect, so this part is not accurate.)
D. 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, as 120 players divided by 8 teams equals 15 players per team, which is possible.)
The most accurate choice is:
D. 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.
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