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?
A. 45 quiches
B. 20 quiches
C. 75 quiches
D. 12 quiches
PLS HELP.
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 + $0.50 = $<<30+0.5=30.50>>30.50.
Dividing the cost of making the quiches by the selling price of each quiche will give the number of quiches needed to break even.
$30.50 / $2 = 15.25
So the Spanish club will need to sell at least 15.25 quiches to break even.
Since they cannot sell a fraction of a quiche, they will need to sell at least 16 quiches.
Therefore, the correct answer is not listed.
To determine the number of quiches the Spanish club needs to sell in order to break even, we need to calculate the total cost to make the quiches and compare it with the total revenue from selling them.
The cost to make one quiche is $30 for the culinary department plus $0.50 for ingredients. Therefore, the cost to make one quiche can be calculated as follows:
Cost per quiche = $30 + $0.50 = $30.50
To break even, the total cost needs to be equal to the total revenue. Since each quiche is sold for $2, the total revenue can be calculated by multiplying the number of quiches by the selling price.
Let the number of quiches be x.
Total revenue = Selling price per quiche * Number of quiches
Total revenue = $2 * x = $2x
Now, the total cost needs to be equal to the total revenue.
Total cost = Total revenue
$30.50 * x = $2x
Divide both sides of the equation by x:
$30.50 = $2
Now, divide both sides of the equation by $2:
15.25 = x
So, the Spanish club will need to sell approximately 15.25 quiches to break even.
Since we cannot sell a fraction of a quiche, the Spanish club will need to sell at least 16 quiches to break even.
Therefore, the correct answer is not listed among the given options.
To calculate how many quiches the Spanish club needs to sell in order to break even, we first need to determine the total cost to make 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 they are going to make with the variable "x."
The cost for making the quiches will be: $30 + ($0.50 * x).
To break even, the Spanish club will need to sell the quiches for the same amount they cost to make.
Given that each quiche is to be sold for $2, the total revenue will be: $2 * x.
To break even, the total revenue should equal the total cost. Therefore, we can set up the equation:
$2 * x = $30 + ($0.50 * x).
Now, let's solve for x:
$2 * x - $0.50 * x = $30.
Combining like terms:
$1.50 * x = $30.
Divide both sides of the equation by $1.50:
x = $30 / $1.50.
Simplifying:
x = 20.
Therefore, the Spanish club needs to sell 20 quiches in order to break even.
So the correct answer is B. 20 quiches.