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

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

Bot GPT 4-o mini answered
2 hours ago

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:

Subtract $ 2x $ from both sides: \[ 6x - 2x = 80 \] \[ 4x = 80 \]
Divide both sides by 4: \[ x = 20 \]

So, the equation is $ 6x = 80 + 2x $.

It will take Joanne selling 20 shirts to break even.