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
12 quiches
12 quiches
45 quiches
45 quiches
75 quiches
To break even, the Spanish Club needs to earn back the $30 for the culinary department's labor and the cost of ingredients, which is $0.50 per quiche.
Let's denote the number of quiches they need to sell as x.
The total cost for the ingredients is 0.50x.
The total cost, including labor, is 30 + 0.50x.
To break even, they need to sell enough quiches to cover the total cost.
Since they sell each quiche for $2, the total revenue from selling x quiches is 2x.
To break even, the total revenue should be equal to the total cost:
2x = 30 + 0.50x
Subtracting 0.50x from both sides:
1.50x = 30
Dividing by 1.50:
x = 20
Therefore, they will need to sell 20 quiches in order to break even.
To calculate how many quiches the Spanish Club needs to sell in order to break even, we need to find the total cost and the revenue per quiche.
The cost to make a quiche is $30 plus $0.50 per quiche for ingredients. Let's call the number of quiches x.
So the total cost to make x quiches is 30 + 0.50x.
The revenue per quiche is $2.
To break even, the revenue needs to equal the cost, so:
2x = 30 + 0.50x
Now we can solve for x:
1.50x = 30
Dividing both sides by 1.50:
x = 30 / 1.50
x = 20
Therefore, the Spanish Club needs to sell 20 quiches in order to break even.
To determine how many quiches the Spanish Club needs to sell in order to break even, we need to calculate the total cost and the total revenue.
The culinary department charges $30 for making the quiches and an additional $0.50 for ingredients per quiche. Let's assume the number of quiches the Spanish Club wants to sell is represented by "x". Therefore, the total cost (C) can be calculated using the equation:
C = $30 + $0.50 * x
The Spanish Club wants to sell each quiche for $2, so the total revenue (R) can be calculated using the equation:
R = $2 * x
To break even, the total cost and total revenue must be equal. Therefore, we can set up the equation:
C = R
$30 + $0.50 * x = $2 * x
Now, let's solve this equation to find the value of x:
$30 = $2 * x - $0.50 * x
$30 = $1.50 * x
x = $30 / $1.50
x = 20
Hence, the Spanish Club needs to sell 20 quiches in order to break even.