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 6 and 10 students, and all teams need to have the same number of students. The seventh grade at Wilson consists of three classes; one with 20 students, one with 33 , and one with 26 . How many students should be on each team?

Answer 1

First let's find the total number of students:

`S=20+33+26=79`

Now, let's divide this total by 6, 7, 8, 9 and 10, and check if the result has no remaining (that is, the result is a whole number):

`\begin{gathered} (79)/(6)=13.167 \\ \\ (79)/(7)=11.286 \\ \\ (79)/(8)=9.875 \\ \\ (79)/(9)=8.778 \\ \\ (79)/(10)=7.9 \end{gathered}`

Since none of the results is a whole number, it's impossible to divide these students in teams with the same number of students.

Therefore the correct option is the second one.