Sure! Let's solve this problem step by step.
Given:
- The number of students who voted for the pizza party (part) is 15.
- The percentage of students who voted for the pizza party is 20%.
We want to determine the total number of students (whole).
We use the percentage formula:
[tex]\[
\frac{\text{part}}{\text{whole}} = \frac{\text{\%}}{100}
\][/tex]
Plug in the given values:
[tex]\[
\frac{15}{\text{whole}} = \frac{20}{100}
\][/tex]
Now we solve for the whole. First, simplify the right-hand side:
[tex]\[
\frac{20}{100} = 0.2
\][/tex]
This gives us:
[tex]\[
\frac{15}{\text{whole}} = 0.2
\][/tex]
Now we solve for the whole by dividing both sides of the equation by 0.2:
[tex]\[
\text{whole} = \frac{15}{0.2}
\][/tex]
Dividing 15 by 0.2 results in:
[tex]\[
\text{whole} = 75
\][/tex]
Therefore, the total number of students who voted is:
[tex]\[
75
\][/tex]
