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

75 quiches
75 quiches

20 quiches
20 quiches

12 quiches
12 quiches

45 quiches

1 answer

To calculate the break-even point, we need to determine the total cost of making the quiches and divide that by the selling price per quiche.

The total cost of making the quiches is $30 (fixed cost) plus $0.50 (variable cost) per quiche.

Let's calculate the break-even point:

Break-even point = Total cost / Selling price

Break-even point = ($30 + $0.50x) / $2

To solve for x (the number of quiches), we can cross-multiply and solve the equation:

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

$60 + $1x = $2x

$60 = $2x - $1x

$60 = $x

Therefore, they will need to sell 60 quiches in order to break even.

None of the provided answer choices include 60 quiches, so the correct response is not listed.