The Lakewood baseball team is selling T-shirts for a fundraiser. The shirts cost $100 for the printing design and setup, plus $10 per shirt. The team is going to sell the shirts for $15 each. How many shirts do they need to sell to break even?(1 point)

Answer 1

To break even, the total revenue from selling the shirts needs to equal the total cost of printing and setup.

Let's call the number of shirts the team needs to sell "x".

The cost of printing design and setup is a fixed cost of $100.

The cost per shirt is $10.

The selling price per shirt is $15.

The total cost is the sum of the fixed cost and the cost per shirt, multiplied by the number of shirts:
Total cost = $100 + ($10 * x)

The total revenue is the selling price per shirt multiplied by the number of shirts:
Total revenue = $15 * x

To break even, the total revenue must equal the total cost:
Total revenue = Total cost

$15 * x = $100 + ($10 * x)

Now, we can solve for x:
$15 * x - $10 * x = $100
$5 * x = $100
x = $100 / $5
x = 20

Therefore, the team needs to sell 20 shirts to break even.