The community center has a pottery class each month. Each student pays​ $15 for the class and​ $27 for materials. This month the pottery class brought in a total of​ $714. How many students are in the class this​ month?




Let the number of students in the class be denoted by $ x $.

Each student pays:
- $15 for the class
- $27 for materials

Thus, the total amount paid by each student is:
\[
15 + 27 = 42 \text{ dollars}.
\]

The total amount collected this month is $714. Therefore, the equation to represent the situation is:
\[
42x = 714.
\]

To find $ x $, divide both sides by 42:
\[
x = \frac{714}{42} = 17.
\]

So, there are 17 students in the class this month.

Would you like more details or further explanations?

Here are 5 related questions to deepen your understanding:
1. How would the equation change if the material fee increased by $5?
2. If next month the community center expects 5 more students, how much would the total revenue be?
3. What would happen to the total revenue if the class fee was reduced by $3 per student?
4. How many students would be needed to collect at least $1000 in total revenue?
5. If the materials cost doubled, how would that impact the total cost per student?

**Tip:** When working with word problems, clearly define variables and write out equations based on given information to avoid confusion.

The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?

Solve a real-world problem involving a pottery class at a community center. Each student pays $15 for the class and $27 for materials, bringing the total fee to $42. Learn how to use a linear equation to determine the number of students when the total revenue is $714. Suitable for students in Grades 6-8.

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