Aphysical education teacher plans to divide the seventh graders at wilson middle school into teams of equal size of year-ending mock olympic event. he wants each team to have between 5 and 9 students, and has a strong preference to have the same number of students on each team. the seventh grade at wilson consists of three classes, one with 24 stu- dents, one with 26, and one with 21. how many students should be on each team?

Step-by-step explanation:

Consider the provided information.

The total number of students are: 24+26+21=71

He wants each team will have the same number of students between 5 and 9.

The number between 5 to 9 are 6, 7 and 8.

The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.

Dividing 6 students in each group.

Number of teams: = 11 teams and 5 students.

Dividing 7 students in each group.

Number of teams: = 10 teams and 1 students.

Dividing 8 students in each group.

Number of teams: = 8 teams and 7 students.

Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.

answer;

the correct answer

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step-by-step explanation: