If 15 students voted for the pizza party, how many total students voted?

[tex]\[ \frac{\text{part}}{\text{whole}} = \frac{\%}{100} \][/tex]



Answer :

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]