https://file.aiquickdraw.com/mathbot/file/1729533000237x7vazasn.jpg

The problem provided in the image is about finding the number of t-shirts Amy sold at a festival based on her profit. Let's break it down:

### Part (a)
We are asked to create an equation to model the situation.

- Amy made a total profit of **$84**.
- She earns **$6** profit per t-shirt sold.
- Let **x** represent the number of t-shirts sold.

Thus, the equation that relates these quantities would be:

\[
6x = 84
\]

### Part (b)
Now, we need to solve the equation for **x** to find the number of t-shirts Amy sold. The equation is:

\[
6x = 84
\]

To solve for **x**, divide both sides of the equation by 6:

\[
x = \frac{84}{6} = 14
\]

So, Amy sold **14 t-shirts**.

### Would you like a detailed explanation of any step or have any other questions?

Here are 5 related questions that you might find useful:
1. How can we verify that the solution to the equation is correct?
2. What if Amy had earned $10 per t-shirt? How would that change the equation?
3. If Amy’s total profit had been $120 instead of $84, how many t-shirts would she have sold?
4. How would the equation change if her expenses were also included?
5. Can you create a similar problem with a different profit per t-shirt?

**Tip:** Always double-check your equation by plugging your solution back into the original word problem to ensure it makes sense!

Amy vendió camisetas en un festival y obtuvo una ganancia de $84. Cada camiseta vendida le dejó $6 de ganancia. ¿Cuántas camisetas vendió?

Solve a linear equation to find the number of t-shirts Amy sold. With a total profit of $84 and $6 profit per t-shirt, learn how to create and solve the equation step-by-step. Suitable for students in Grades 6-8.

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