Certainly! Let's break down the problem step by step.
1. Understand the Problem Statement:
- We are given that 60% of the students voted for a pizza party.
- The actual number of students who voted for the pizza party is 7.
- We need to find the total number of students in the class.
2. Set Up the Relationship:
- The relationship between the part (students who voted for pizza) and the whole (total number of students) can be expressed as:
[tex]\[
\frac{\text{part}}{\text{whole}} = \frac{\text{percentage for pizza}}{100}
\][/tex]
- We know:
[tex]\[
\text{part} = 7 \quad \text{students}
\][/tex]
[tex]\[
\text{percentage for pizza} = 60\%
\][/tex]
3. Formulate the Equation:
- Plugging the numbers into the relationship formula:
[tex]\[
\frac{7}{\text{whole}} = \frac{60}{100}
\][/tex]
4. Solve for the Whole (Total Number of Students):
- To find the whole, rearrange the equation to solve for the total number of students:
[tex]\[
\text{whole} = \frac{7 \times 100}{60}
\][/tex]
5. Calculate the Total Number of Students:
- Performing the calculation:
[tex]\[
\text{whole} = \frac{700}{60}
\][/tex]
[tex]\[
\text{whole} \approx 11.67
\][/tex]
So, the total number of students in the class is approximately 11.67.
Hence, there are approximately 11.67 students in the class when 7 students make up 60% of the class. Note that in reality, the number of students should be an integer, so it's possible there was a rounding or reporting consideration in presenting this result.
