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
45 quiches
45 quiches
12 quiches
To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 plus $0.50 per quiche.
Let's call the number of quiches they need to sell X.
The cost of making the quiches is $30 + $0.50*X.
The revenue they will make from selling the quiches is $2*X.
To break even, these two values must be equal, so:
$30 + $0.50*X = $2*X
Subtracting $0.50*X from both sides:
$30 = $1.50*X
Dividing both sides by $1.50:
20 = X
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
To determine how many quiches the Spanish Club needs to sell in order to break even, we need to calculate the total cost of making the quiches and compare it to the total revenue from selling the quiches.
The culinary department charges $30 for making the quiches and an additional $0.50 per quiche for the ingredients. Let's denote the number of quiches as 'x'.
So, the cost of making 'x' quiches would be: $30 + $0.50*x.
The Spanish Club wants to sell each quiche for $2. Therefore, the total revenue from selling 'x' quiches would be: $2*x.
To break even, the total cost and total revenue should be equal.
Therefore, we can set up the equation: $30 + $0.50*x = $2*x.
Now, we can solve for 'x' to find the number of quiches the Spanish Club needs to sell.
Simplifying the equation, we have:
$30 = $1.50*x.
Dividing both sides by $1.50:
x = $30 / $1.50.
Calculating, we have:
x = 20.
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
To determine how many quiches the Spanish Club needs to sell in order to break even, we need to consider the costs and revenues involved.
The cost of making each quiche consists of two components: $30 for the culinary department and $0.50 for the ingredients. So, the total cost per quiche is $30 + $0.50 = $30.50.
Now, let's consider the revenue from selling each quiche. The selling price for each quiche is $2.
To break even, the total revenue should cover the total cost. With that in mind, we can set up an equation:
Total Cost = Total Revenue
Let's represent the number of quiches to be sold by 'x'.
Total Cost = (Cost per quiche) × (Number of quiches) = $30.50 × x
Total Revenue = (Selling price per quiche) × (Number of quiches) = $2 × x
Therefore, the equation becomes:
$30.50 × x = $2 × x
Since the variable 'x' represents the number of quiches, we can solve for 'x':
$30.50 × x - $2 × x = 0
$28.50 × x = 0
x = 0 / $28.50
To break even, the Spanish Club needs to sell 0 quiches, according to the given answer choices. However, it seems incorrect, as selling zero quiches would not generate any revenue to cover the costs.
Considering the equation and the given answer choices, the correct answer appears to be missing. Therefore, it seems that the given answer choices are insufficient or incorrect.