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Question 19 of 23

If there are 88 students in a class and 66 are seniors, what proportion of students are not seniors?


Sagot :

Sure, let's work through this step by step.

1. Total Number of Students: First, we note that the total number of students in the class is 88.

2. Number of Seniors: We are given that 66 of these students are seniors.

3. Calculating the Number of Non-Seniors:
- To find the number of students who are not seniors, we subtract the number of seniors from the total number of students:
[tex]\[ \text{Number of Non-Seniors} = \text{Total Number of Students} - \text{Number of Seniors} \][/tex]
- Substituting the given numbers:
[tex]\[ \text{Number of Non-Seniors} = 88 - 66 = 22 \][/tex]

4. Proportion of Non-Seniors:
- Next, we need to find the proportion of students who are not seniors relative to the total number of students.
- The proportion is calculated by dividing the number of non-senior students by the total number of students:
[tex]\[ \text{Proportion of Non-Seniors} = \frac{\text{Number of Non-Seniors}}{\text{Total Number of Students}} \][/tex]
- Substituting the numbers we have:
[tex]\[ \text{Proportion of Non-Seniors} = \frac{22}{88} \][/tex]
- Simplifying the fraction:
[tex]\[ \text{Proportion of Non-Seniors} = \frac{1}{4} = 0.25 \][/tex]

Therefore, the number of students who are not seniors is 22, and the proportion of students who are not seniors is 0.25.