GIVEN:
We are told that in a certain class, 3 out of 24 students are in student organizations.
Required;
What is the ratio of students in student organizations to students not in student organizations?
Step-by-step solution;
We shall begin by dividing the entire students into the two given groups, and that will be;
In student organizations = 3
Not in student organizations = 21
Total number of all students = 24
To determine the ratio of one value to the other, we express them as follows;
[tex]\begin{gathered} Ratio\text{ }of\text{ }x\text{ }to\text{ }y=x:y \\ \\ OR \\ \\ Ratio\text{ }of\text{ }x\text{ }to\text{ }y=\frac{x}{y} \end{gathered}[/tex]Therefore, to express the ratio of students in organizations to students not in organizations, we will have;
[tex]\begin{gathered} Ratio=\frac{3}{21} \\ \\ Ratio=\frac{1}{7} \end{gathered}[/tex]ANSWER:
Therefore, the correct answer is option B