SOLUTION: A physical education teacher plans to divide the seventh graders into teams of equal size for a year-ending mock Olympic event. He wants each team to have between 5 and 9 students,

Question 1197216: A physical education teacher plans to divide the seventh graders into teams of equal size for a year-ending mock Olympic event. He wants each team to have between 5 and 9 students, and all teams need to have the same number of students. The seventh grade consists of three classes: one with 24 students, one with 27, and one with 21. How many students should be on each team?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

The total number of students is 24+27+21 = 72.

The requirement of "between 5 and 9 students" on each team is not clear; I will assume teams of 5 or 9 are allowed.

5 and 7 are not factors of 72; but 6, 8, and 9 are. So there can be
(1) 6 students on each team (12 teams); or
(2) 8 students on each team (9 teams); or
(3) 9 students on each team (8 teams)

ANSWERS: 6, 8, or 9 students on each team

Of course if 9 students on a team is not allowed, then the number of students on each team can only be 6 or 8....

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