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
12 quiches
12 quiches
45 quiches
To calculate the break-even point, we need to determine the total cost of making the quiches and divide that by the selling price per quiche.
The total cost of making the quiches is $30 (fixed cost) plus $0.50 (variable cost) per quiche.
Let's calculate the break-even point:
Break-even point = Total cost / Selling price
Break-even point = ($30 + $0.50x) / $2
To solve for x (the number of quiches), we can cross-multiply and solve the equation:
2($30 + $0.50x) = $2x
$60 + $1x = $2x
$60 = $2x - $1x
$60 = $x
Therefore, they will need to sell 60 quiches in order to break even.
None of the provided answer choices include 60 quiches, so the correct response is not listed.
To calculate how many quiches the Spanish Club needs to sell in order to break even, we need to determine their total cost and total revenue.
The culinary department will make the quiches for $30 plus $0.50 per quiche for the ingredients. Let's call the number of quiches they make "x".
The cost of making the quiches will be $30 + ($0.50 * x).
The Spanish Club wants to sell each quiche for $2. Let's call the number of quiches they sell "y".
The revenue from selling the quiches will be $2 * y.
To break even, the total cost should be equal to the total revenue. So, we can set up the equation:
$30 + ($0.50 * x) = $2 * y
We can simplify this equation by multiplying the terms:
$30 + $0.50x = $2y
Now, let's solve the equation for y:
$0.50x = $2y - $30
Dividing both sides of the equation by $0.50:
x = 4y - 60
To calculate the break-even point, we need to find the number of quiches sold (y) when the number of quiches made (x) is the same.
Setting x = y:
y = 4y - 60
Bringing the y term to one side:
0 = 3y - 60
Adding 60 to both sides:
60 = 3y
Dividing both sides by 3:
y = 20
Therefore, the Spanish Club will need to sell 20 mini quiches in order to break even.
To determine the number of 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 generated from selling them.
The cost of making the quiches is given as $30 plus $0.50 per quiche for ingredients. Let's assume the number of quiches to be made is represented by 'x'. So the total cost of making the quiches is:
Cost = $30 + $0.50 * x
The revenue generated from selling each quiche is $2, and they need to break even, which means the total revenue should be equal to the total cost. Therefore, we have the equation:
Revenue = Cost
Substituting the values, we get:
$2 * x = $30 + $0.50 * x
To solve for 'x', we can simplify the equation:
$2 * x - $0.50 * x = $30
$1.50 * x = $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.