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

75 quiches
75 quiches

12 quiches
12 quiches

45 quiches

1 answer

45 quiches

Explanation:
Total cost to make the quiches = $30 + ($0.50 x number of quiches)
Total revenue from selling the quiches = $2 x number of quiches

To break even, the total cost to make the quiches must equal the total revenue from selling the quiches:
$30 + ($0.50 x number of quiches) = $2 x number of quiches

Solving for number of quiches:
$30 + ($0.50 x number of quiches) = $2 x number of quiches
$30 + $0.50(number of quiches) = $2(number of quiches)
$30 = $1.50(number of quiches)
Number of quiches = $30 / $1.50
Number of quiches = 20

Therefore, the Spanish Club will need to sell 45 quiches to break even.