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 quiches for the ingredients. The Spanish club wants to sell each quiche for $2. How many quiche do they have to make to break even
Let Q be the number of quiches they have to make.
The cost to make the quiches is 30 + 0.50Q dollars
The revenue from selling the quiches is 2Q dollars.
To break even, the cost of making the quiches must equal the revenue from selling the quiches.
So 30 + 0.50Q = 2Q.
Subtracting 0.50Q from both sides gives 30 = 1.5Q.
Dividing both sides by 1.5 gives Q = 20.
They have to make 20 quiches to break even. Answer: \boxed{20}.
To determine the number of quiches the Spanish club needs to make to break even, we need to find the point where their total cost equals their total revenue.
Let's assume the number of quiches they need to make is "x".
The cost to make the quiches is $30 plus $0.50 per quiche for the ingredients. Therefore, the cost equation is:
Cost = $30 + ($0.50 * x)
The revenue from selling each quiche is $2, and since they need to make "x" quiches, the revenue equation is:
Revenue = $2 * x
To break even, the cost should be equal to the revenue:
$30 + ($0.50 * x) = $2 * x
Now, let's solve for "x":
$30 + $0.50x = $2x
$30 = $2x - $0.50x
$30 = $1.50x
x = $30 / $1.50
x = 20
Therefore, the Spanish club needs to make 20 quiches to break even.
To determine the number of quiches the Spanish club needs to sell to break even, we need to determine the total cost of making the quiches and divide it by the selling price of each quiche.
The cost of making the quiches consists of two parts: the fixed cost of $30 for the culinary department and the variable cost of $0.50 per quiche for ingredients. Let's denote the number of quiches as 'x'.
The total cost of making the quiches can be calculated using the formula:
Total Cost = Fixed Cost + (Variable Cost per quiche x Number of quiches)
Total Cost = $30 + ($0.50 x x)
Total Cost = $30 + $0.50x
Now, we can calculate the break-even point by setting the total cost equal to the total revenue earned from selling the quiches. Since the selling price of each quiche is $2, the revenue is given by:
Total Revenue = Selling Price per quiche x Number of quiches sold
Total Revenue = $2 x x
Total Revenue = $2x
To find the break-even point, we set the total cost equal to the total revenue and solve for 'x':
$30 + $0.50x = $2x
Rearranging the equation:
$0.50x - $2x = -$30
-$1.50x = -$30
Dividing both sides of the equation by -$1.50:
x = -$30 / -$1.50
x = 20
Therefore, the Spanish club needs to make and sell 20 mini quiches to break even.