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
12 quiches - no response given

20 quiches
20 quiches - not selected, this is the correct answer

45 quiches
45 quiches - incorrect

75 quiches
show your work

1 answer

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

Total cost = $30 + ($0.50 per quiche) * x, where x is the number of quiches
Total revenue = $2 * x

Setting these two equal:
$30 + ($0.50 * x) = $2 * x
$30 + $0.50x = $2x
$30 = $1.50x
x = 20

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