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?

Responses

12 quiches

75 quiches

20 quiches

45 quiches

1 answer

To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 for the culinary department plus $0.50 per quiche for ingredients. Let's call the number of quiches they need to sell 'x'.

The cost of making the quiches will be $30 + ($0.50 * x).

The revenue from selling the quiches will be $2 * x.

To break even, the cost of making the quiches must equal the revenue from selling the quiches.

$30 + ($0.50 * x) = $2 * x.

Simplifying:

$30 = $2 * x - ($0.50 * x).

$30 = $1.50 * x.

Dividing both sides of the equation by $1.50:

x = $30 / $1.50.

x = 20.

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