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)
O 12 quiches
20 quiches
O45 quiches
75 quiches
To break even, the Spanish Club needs to earn the same amount of money as they spend on making the quiches.
The cost of making one quiche is the sum of the fixed cost ($30) and the variable cost per quiche ($0.50).
Total cost per quiche = $30 + $0.50 = $30.50
To find out how many quiches they need to sell to break even, we divide the total cost by the selling price per quiche:
Number of quiches to sell = Total cost / Selling price per quiche
Number of quiches to sell = $30.50 / $2 = 15.25
Since they can't sell a partial quiche, they will need to round up to the nearest whole number.
Therefore, the Spanish Club will need to sell 16 quiches in order to break even.
To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 for the base cost plus $0.50 per quiche for the ingredients.
Let's assume they need to sell x number of quiches to break even.
The total cost of making x quiches would be:
$30 + $0.50x = cost of making x quiches
The Spanish Club will sell each quiche for $2.
Therefore, the total revenue from selling x quiches would be:
$2x = revenue from selling x quiches
To break even, the revenue from selling x quiches should cover the cost of making x quiches.
So, we can set up the following equation:
$2x = $30 + $0.50x
Simplifying the equation, we get:
$1.50x = $30
Dividing both sides of the equation by $1.50, we get:
x = $30 / $1.50 = 20 quiches
Therefore, the Spanish Club needs to sell 20 quiches in order to break even.
To calculate the number of quiches the Spanish Club needs to sell in order to break even, we need to determine the total cost of making the quiches and compare it to the revenue generated from selling them.
First, let's calculate the total cost of making the quiches:
Cost per quiche = $30 (fixed cost) + $0.50 (variable cost per quiche for ingredients) = $30.50
Next, we need to determine the revenue generated from selling the quiches:
Selling price per quiche = $2
Now, we can calculate the number of quiches needed to break even:
Break-even point = Total cost / Selling price per quiche
= $30.50 / $2
= 15.25
Since the number of quiches cannot be in decimal form, we need to round up to the nearest whole number. Therefore, the Spanish Club needs to sell at least 16 quiches in order to break even.
None of the options provided match this answer, so the correct answer is not included in the given options.