87.3k views
3 votes
A team has 70 players, but when a coach puts players in drill teams of 8 there were

2 players left. When the coach has them in drill teams of 5 all players were used.
How many of the players are absent today?

1 Answer

5 votes

Final answer:

Using the information that 70 players divided into teams of 8 leaves 2 players and that teams of 5 use all players, it can be deduced that no players are absent.

Step-by-step explanation:

The question presented requires an understanding of basic arithmetic and logical reasoning to determine the number of players absent from the team.

When a coach divides 70 players into drill teams of 8, there are 2 players left over. This information suggests that 68 players are present because 68 is the highest multiple of 8 that is less than 70.

Moreover, when the coach creates drill teams of 5, all players are used with no remainder, which also confirms that the total number of present players is a multiple of 5. We already deduced that 68 players are present, and since 68 is a multiple of both 5 and 8, no players are absent.

Therefore, the answer is that no players are absent today as the coach successfully creates teams of 5 without any remainder.