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
45 quiches
45 quiches
12 quiches
12 quiches
20 quiches
20 quiches
75 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 represent the number of quiches they need to sell as x.
The cost of making the quiches is $30 + $0.50x.
To break even, the Spanish Club needs to sell enough quiches to cover this cost. So, they need to sell x quiches for $2 each.
The revenue from selling the quiches is $2x.
To break even, the revenue from selling the quiches should be equal to the cost of making the quiches:
$2x = $30 + $0.50x
Simplifying the equation:
$2x - $0.50x = $30
$1.50x = $30
Dividing both sides of the equation by $1.50:
x = $30 / $1.50
x = 20
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
To calculate the number of mini quiches that the Spanish Club will need to sell in order to break even, we need to determine the total cost of making the quiches and divide it by the selling price per quiche.
The cost of making the quiches consists of $30 for the culinary department's labor and $0.50 per quiche for the ingredients.
Let's assume the number of quiches they need to sell is x.
The cost of making x quiches = $30 + ($0.50 * x)
Since the selling price per quiche is $2, the revenue generated from selling x quiches = $2 * x
In order to break even, the cost of making the quiches must be equal to the revenue generated from selling them.
Therefore, we can set up the following equation: $30 + ($0.50 * x) = $2 * x
Simplifying the equation, we get:
$30 = $2 * x - $0.50 * x
$30 = $1.50 * x
Dividing both sides of the equation by $1.50 to solve for x, we get:
x = $30 / $1.50
x = 20 quiches
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
To calculate the number of quiches they need to sell in order to break even, we need to consider the cost of making the quiches and the revenue they will generate from selling them.
First, let's calculate the total cost of making the quiches. The culinary department charges $30 for making the quiches, and there is an additional cost of $0.50 per quiche for the ingredients. Let's assume the number of quiches they need to sell is 'x'. Therefore, the total cost of making the quiches can be calculated as:
Cost = $30 + ($0.50 * x)
Next, let's calculate the revenue from selling the quiches. The Spanish Club will sell each quiche for $2. Therefore, the revenue from selling 'x' quiches can be calculated as:
Revenue = $2 * x
To break even, the revenue needs to equal the cost. So we have the equation:
$2 * x = $30 + ($0.50 * x)
Let's solve this equation to find the value of 'x'.
$2 * x - $0.50 * x = $30
Simplifying the equation:
$1.50 * x = $30
Dividing both sides of the equation by $1.50:
x = $30 / $1.50
x = 20
Therefore, the Spanish Club needs to sell 20 quiches in order to break even.