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) __ shirts

Answer 1

To find the number of shirts the Lakewood baseball team needs to sell to break even, we need to set up an equation based on costs and revenues.

1. Cost to produce the shirts:
   The fixed cost for printing design and setup is $100.
   The variable cost per shirt is $10.
   If \( x \) is the number of shirts sold, the total cost can be represented as:
   \[ \text{Total Cost} = 100 + 10x \]

2. Revenue from selling the shirts:
   The team sells each shirt for $15. Thus, the revenue from selling \( x \) shirts is:
   \[ \text{Revenue} = 15x \]

3. Break-even point:
   To break even, the total revenue must equal the total cost:
   \[ 15x = 100 + 10x \]

4. Solve for \( x \): Subtract \( 10x \) from both sides:
   \[ 15x - 10x = 100
   \] \[ 5x = 100 \] Then, divide by 5:
   \[ x = 20 \]

The Lakewood baseball team needs to sell 20 shirts to break even.