Question

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)

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 need to determine the total cost and set it equal to the total revenue.

**1. Calculate the total cost to make the quiches:**

The cost to make quiches consists of a fixed cost of $30 plus a variable cost of $0.50 per quiche. If \( x \) is the number of quiches, the total cost can be expressed as:
\[
\text{Total Cost} = 30 + 0.50x
\]

**2. Calculate the total revenue from selling the quiches:**

The Spanish Club wants to sell each quiche for $2. Therefore, the total revenue from selling \( x \) quiches is:
\[
\text{Total Revenue} = 2x
\]

**3. Set the total cost equal to the total revenue to find the break-even point:**
\[
30 + 0.50x = 2x
\]

**4. Solve for \( x \):**
Subtract \( 0.50x \) from both sides:
\[
30 = 2x - 0.50x
\]
\[
30 = 1.5x
\]

Now, divide both sides by 1.5:
\[
x = \frac{30}{1.5} = 20
\]

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