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 12 quiches 12 quiches 75 quiches 75 quiches 45 quiches 45 quiches 20 quiches
To break even, the Spanish Club needs to make enough money to cover the cost of making the quiches. The cost of making each quiche is $30 for ingredients plus $0.50 per quiche.
Let's say they need to sell x quiches to break even.
The total cost of making x quiches will be $30 + $0.50x.
To break even, they need to make at least the same amount of money as the cost of making the quiches.
Selling each quiche for $2, the total revenue from selling x quiches will be $2x.
So, the equation to break even is:
$2x = $30 + $0.50x
Now, let's solve for x.
Subtract $0.50x from both sides:
$1.50x = $30
Divide both sides by $1.50:
x = $30 / $1.50
x = 20
Therefore, they will need to sell 20 quiches to break even.
To calculate the number of quiches the Spanish Club will need to sell in order to break even, we need to determine the total cost of making the quiches and compare it to the total revenue from selling them.
1. Determine the cost of making the quiches:
The culinary department charges $30 for making the quiches and an additional $0.50 per quiche for the ingredients.
Cost per quiche = $30 + $0.50 = $30.50
2. Determine the selling price of each quiche:
The Spanish Club plans to sell each quiche for $2.
3. Determine the break-even point:
The break-even point is the number of quiches that need to be sold to cover the total cost.
Break-even point (in terms of the number of quiches) = Total cost / Selling price per quiche
Break-even point = $30.50 / $2 = 15.25
Since the number of quiches must be a whole number, rounding up to the nearest whole number gives us:
Break-even point ≈ 16 quiches
Therefore, the Spanish Club will need to sell at least 16 quiches in order to break even.
To find the number of quiches the Spanish Club needs to sell in order to break even, we need to calculate the total cost and the total revenue.
The cost per quiche is calculated as $30 (fixed cost) plus $0.50 (variable cost for ingredients), which equals $30.50.
The revenue per quiche is $2.
To break even, the total revenue needs to equal the total cost. Therefore, the equation can be set up as:
Total Revenue = Total Cost
Let's assume the number of quiches needed to break even is represented by 'x'.
Total Revenue = $2 * x
Total Cost = $30.50 * x
Setting up the equation:
$2 * x = $30.50 * x
Now, we can solve for 'x':
2x = 30.50x
2x - 30.50x = 0
-28.50x = 0
x = 0/-28.50
x = 0
Based on the equation, we can see that the number of quiches needed to break even is zero. This means the Spanish Club doesn't need to sell any quiches to cover their costs. However, this scenario seems unlikely.
If there was an error in the calculations or if there are additional factors that were not mentioned in the initial question, please provide more information so that a more accurate answer can be provided.