Question

At football tryouts , the Chiefs have 12 coaches and 56 players. They want to make as many groups as possible, but they must have the same number of coaches and the same number of players in each group. What is the greatest number of groups they can form?

Answer 1

The Chiefs can form a maximum of 4 groups with an equal number of coaches and players in each group.

Step-by-step explanation:

To find the greatest number of groups the Chiefs can form, we need to determine the greatest common divisor (GCD) of the number of coaches and the number of players. The GCD will be the largest number of groups that can be formed.

The GCD of 12 and 56 is 4. Therefore, the Chiefs can form a maximum of 4 groups with an equal number of coaches and players in each group.

For example, in each group, there can be 3 coaches and 14 players, resulting in a total of 12 coaches and 56 players.