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

12 quiches
12 quiches

45 quiches
45 quiches

20 quiches

Answer 1

To determine how many mini quiches the Spanish Club needs to sell in order to break even, we need to set up the cost and revenue equations.

1. Cost to make the quiches:

   • Fixed cost: $30
   • Variable cost: $0.50 per quiche
   • Total cost for \( x \) quiches: \( C = 30 + 0.50x \)

2. Revenue from selling the quiches:

   • Selling price per quiche: $2
   • Total revenue from selling \( x \) quiches: \( R = 2x \)

3. Break-even point is where cost equals revenue: \[ C = R \] Substituting the equations: \[ 30 + 0.50x = 2x \]

4. Now, solve for \( x \): \[ 30 = 2x - 0.50x \] \[ 30 = 1.50x \] \[ x = \frac{30}{1.50} = 20 \]

The Spanish Club needs to sell 20 quiches to break even.

So, the correct response is 20 quiches.