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)

Responses

20 quiches
20 quiches

12 quiches
12 quiches

45 quiches
45 quiches

75 quiches

1 answer

To break even, the Spanish Club needs to earn back the $30 for the culinary department's labor and the cost of ingredients, which is $0.50 per quiche.

Let's denote the number of quiches they need to sell as x.

The total cost for the ingredients is 0.50x.
The total cost, including labor, is 30 + 0.50x.

To break even, they need to sell enough quiches to cover the total cost.

Since they sell each quiche for $2, the total revenue from selling x quiches is 2x.

To break even, the total revenue should be equal to the total cost:

2x = 30 + 0.50x

Subtracting 0.50x from both sides:

1.50x = 30

Dividing by 1.50:

x = 20

Therefore, they will need to sell 20 quiches in order to break even.