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?
To break even, the team needs to earn enough money to cover the cost of printing design and setup, as well as the cost per shirt.
The total cost per shirt is $10, and the total cost for printing design and setup is $100.
Let's call the number of shirts the team needs to sell to break even X.
The total cost to produce and sell X shirts can be calculated as follows: Cost per shirt × Number of shirts = $10 * X
The total cost for printing design and setup is $100.
To break even, the total cost for producing and selling X shirts must equal the total cost spent on printing design and setup:
$10 * X + $100 = $15 * X
Rearranging the equation, we get:
$100 = $5 * X
Dividing both sides of the equation by $5, we find:
20 = X
Therefore, the team needs to sell 20 shirts to break even.