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)%0D%0AResponses%0D%0A%0D%0A12 quiches%0D%0A12 quiches%0D%0A%0D%0A45 quiches%0D%0A45 quiches%0D%0A%0D%0A20 quiches%0D%0A20 quiches%0D%0A%0D%0A75 quiches%0D%0A75 quiches

1 answer

To find the number of quiches they need to sell to break even, we need to calculate the total cost and total revenue.

Total cost = $30 + ($0.50 x number of quiches)
Total revenue = $2 x number of quiches

To break even, total cost should be equal to total revenue. Therefore, we can set up the equation:

$30 + ($0.50 x number of quiches) = $2 x number of quiches

Now, we can solve for the number of quiches:

$30 + $0.50 x = $2 x

Subtract $0.50 x from both sides:

$30 = $2 x - $0.50 x
$30 = $1.50 x
x = 30 / $1.50
x = 20

Therefore, the Spanish Club will need to sell 20 quiches in order to break even.