Question

Select the correct equation and answer the question for the word problem:

Joanne designs and sells t-shirts through an online forum. She paid $80 for general supplies. It costs her $2 to make each t-shirt. She charges $6 per shirt. Determine how many t-shirts Joanne needs to sell in order to break even.



Equation:



It will take Joanne selling
shirts to break even.

Answer 1

To determine how many t-shirts Joanne needs to sell to break even, we can start by setting up the equation.

Let \( x \) be the number of t-shirts sold.

**Expenses:**
- Fixed costs (supplies): $80
- Variable cost per t-shirt: $2
- Total cost for \( x \) t-shirts: \( 80 + 2x \)

**Revenue:**
- Selling price per t-shirt: $6
- Total revenue for \( x \) t-shirts: \( 6x \)

To break even, total revenue must equal total costs:

\[
6x = 80 + 2x
\]

Now, we can solve the equation:

1. Subtract \( 2x \) from both sides:
\[
6x - 2x = 80
\]
\[
4x = 80
\]

2. Divide both sides by 4:
\[
x = 20
\]

So, the equation is \( 6x = 80 + 2x \).

It will take Joanne selling **20** shirts to break even.