Question

For football tryouts at a local school, 12 coaches and 42 players will split into groups. Each group will have the same numbers of coaches and players. What is the greatest number of groups that can be formed? How many coaches and players will be in each of these groups?

Answer 1

3 is the largest common factor. Therefore, there will be 3 groups with 4 coaches and 14 players. You have to read the question carefully. When I first read the question, I thought I needed to have equal player to coach ratio in each group. I went crazy b/c I have player left over. When I read it several times, I realized I needed to have the same number of coaches per group and the same number of player per group. So the answer to the second part of the questions is 4 coaches and 14 players in each of the 3 groups.