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

12 quiches
12 quiches

20 quiches

Answer 1

To find out how many quiches the Spanish Club needs to sell to break even, we first need to determine the total cost and the total revenue from selling the quiches.

1. Cost to make quiches:

   • Fixed cost: $30
   • Variable cost per quiche: $0.50

   If they sell \( x \) quiches, the total cost \( C \) can be expressed as: \[ C = 30 + 0.50x \]

2. Revenue from selling quiches:

   • Selling price per quiche: $2

   The total revenue \( R \) from selling \( x \) quiches can be expressed as: \[ R = 2x \]

3. Break-even point: To find the break-even point, we set total cost equal to total revenue: \[ C = R \] \[ 30 + 0.50x = 2x \]

4. Solving the equation: Rearranging the equation to isolate \( x \): \[ 30 = 2x - 0.50x \] \[ 30 = 1.50x \] \[ x = \frac{30}{1.50} \] \[ x = 20 \]

Therefore, the Spanish Club needs to sell 20 quiches to break even.

The correct answer is: 20 quiches