Question

A physical education teacher plans to divide the seventh graders at Wilson middle school into teams of equal size for a year-ending mock Olympic event. He wants each team to have between 4 and 8 students, and all teams need to have the same number of students. The seventh grade of Wilson consists of three classes; one with 28 student, one with 29, and one with 34. How many students should be be on each team?

Answer 1

Answer:

• It is possible to divide the seventh graders into teams of equal sizes.

,

• 13 students should be on each team.

Explanation:

The seventh grade of Wilson consists of three classes; one with 28 students, one with 29, and one with 34. Therefore, the total number of students in seventh grade is:

$\text{Total}=28+29+34=91$

He wants each team to have between 4 and 8 students.

$\begin{gathered} \frac{91}{4}\approx22.75 \\ \frac{91}{5}\approx18.2 \\ \frac{91}{6}\approx15.2 \\ \frac{91}{7}\approx13 \\ \frac{91}{8}\approx11.4 \end{gathered}$

Therefore:

• It is possible to divide the seventh graders into teams of equal sizes.

,

• 13 students should be on each team.