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)

To determine how many mini quiches the Spanish Club needs to sell to break even, we first need to calculate the total cost of making the quiches and then set it equal to the total revenue from selling the quiches.

1. Fixed cost: $30
2. Variable cost per quiche: $0.50
3. Selling price per quiche: $2

Let's define \( x \) as the number of quiches they sell. The total cost \( C \) to make \( x \) quiches is given by:

\[ C = 30 + 0.50x \]

The total revenue \( R \) from selling \( x \) quiches is given by:

\[ R = 2x \]

To break even, we need the total revenue to equal the total cost:

\[ R = C \]

Substituting the expressions for \( R \) and \( C \):

\[ 2x = 30 + 0.50x \]

Now, let's solve for \( x \):

1. Subtract \( 0.50x \) from both sides:

\[ 2x - 0.50x = 30 \]

\[ 1.5x = 30 \]

2. Divide both sides by 1.5:

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

Therefore, the Spanish Club needs to sell 20 quiches to break even. The correct response is:

20 quiches.