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 20 quiches 20 quiches 75 quiches 75 quiches 12 quiches 12 quiches 45 quiches
The cost to make one quiche is $30 + $0.50 = $<<30+0.5=30.50>>30.50.
The Spanish Club sells each quiche for $2.
To break even, they will need to sell $30.50 / $2 = <<30.50/2=15.25>>15.25 quiches.
Since they cannot sell a fraction of a quiche, they will need to sell 16 quiches (rounded up).
The correct answer is 16 quiches.
To calculate the number of quiches the Spanish Club needs to sell to break even, we need to find the total cost and the revenue.
The total cost can be calculated as the fixed cost (cost of making the quiches) plus the variable cost (cost of ingredients per quiche multiplied by the number of quiches made):
Total Cost = fixed cost + (variable cost per quiche * number of quiches)
In this case, the fixed cost is $30, and the variable cost per quiche is $0.50.
Total Cost = $30 + ($0.50 * number of quiches)
The revenue can be calculated by multiplying the selling price of the quiche by the number of quiches sold:
Revenue = selling price per quiche * number of quiches
In this case, the selling price per quiche is $2.
Revenue = $2 * number of quiches
To break even, the revenue should equal the total cost:
$2 * number of quiches = $30 + ($0.50 * number of quiches)
Simplifying this equation:
$2 * number of quiches - $0.50 * number of quiches = $30
Combining like terms:
$1.50 * number of quiches = $30
Dividing both sides by $1.50:
number of quiches = $30 / $1.50
Calculating this:
number of quiches = 20
Therefore, the Spanish Club needs to sell 20 quiches in order to break even.
To determine how many quiches the Spanish Club at Santa Fe Middle School needs to sell in order to break even, we need to calculate the total cost and total revenue.
The cost to make the quiches is $30 plus $0.50 per quiche for the ingredients. Let's assume the number of quiches to be made is represented by 'x'.
The total cost to make 'x' quiches is given by:
Total Cost = $30 + ($0.50 * x)
Now, for the revenue, they plan to sell each quiche for $2, so the total revenue can be calculated by multiplying the selling price per quiche ($2) by the number of quiches to be sold ('x').
Total Revenue = $2 * x
In order to break even, the total cost should equal the total revenue. Therefore, we can set up the following equation:
Total Cost = Total Revenue
$30 + ($0.50 * x) = $2 * x
To solve this equation, we can subtract $0.50x from both sides:
$30 = $1.50x
Now, divide both sides by $1.50 to isolate the 'x' variable:
x = $30 รท $1.50
x = 20
Therefore, the Spanish Club at Santa Fe Middle School will need to sell 20 quiches in order to break even.