The Spanish Club at Santa Fe Middle School wants to sell mini quiches to raise money for a field trip. The culinary department at their school will make the quiches for $30 plus $0.50 per quiche for the ingredients. The Spanish Club wants to sell each quiche for $2. How many quiches will they need to sell in order to break even?(1 point)

Question

Responses

75 quiches
75 quiches

45 quiches
45 quiches

20 quiches
20 quiches

12 quiches

Answer 1

To find the break-even point, we need to calculate the total cost and total revenue.

1. Total Cost: The culinary department's fixed cost is $30, plus $0.50 per quiche. Let \( x \) be the number of quiches made.

   \[ \text{Total Cost} = 30 + 0.50x \]

2. Total Revenue: The Spanish Club sells each quiche for $2.

   \[ \text{Total Revenue} = 2x \]

3. Break-even point: To break even, the total cost must equal the total revenue.

   \[ 30 + 0.50x = 2x \]

4. Solving for \( x \): First, simplify the equation.

   \[ 30 = 2x - 0.50x \] \[ 30 = 1.5x \]

   Now, divide both sides by 1.5.

   \[ x = \frac{30}{1.5} = 20 \]

Thus, the Spanish Club will need to sell 20 quiches to break even.

The correct answer is 20 quiches.