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)
20 quiches
12 quiches
75 quiches
45 quiches
The total cost of making the quiches is $30 + ($0.50 x quiche).
The total revenue from selling the quiches is $2 x quiche.
To break even, the total cost must equal the total revenue.
Set up the equation:
30 + (0.50 x quiche) = 2 x quiche
30 + 0.50 x quiche = 2 x quiche
Simplify the equation:
30 = 1.50 x quiche
Divide both sides of the equation by 1.50 to solve for quiche:
20 = quiche
Therefore, they will need to sell 20 quiches in order to break even.
To calculate the break-even point, we need to find out the total cost and the total revenue.
The cost to make the quiches is $30 plus $0.50 per quiche for ingredients. Let's assume they want to sell x number of quiches.
Total cost = $30 + ($0.50 * x) = $30 + $0.50x
The revenue is the selling price per quiche multiplied by the number of quiches sold.
Total revenue = $2 * x = $2x
To break even, total cost must equal total revenue:
$30 + $0.50x = $2x
Now, solve for x:
$30 = $2x - $0.50x
$30 = $1.50x
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 consider the cost of making the quiches and the revenue from selling them.
The cost to make the quiches is $30 for the culinary department's labor plus $0.50 per quiche for the ingredients.
If we let the number of quiches be represented by 'x', then the cost equation is:
Cost = $30 + $0.50 * x
The revenue from selling the quiches is $2 per quiche.
The revenue equation is:
Revenue = $2 * x
To break even, the cost and the revenue must be equal.
So, we need to solve the equation:
$30 + $0.50 * x = $2 * x
To solve for 'x', we can subtract $0.50 * x from both sides of the equation:
$30 = $2 * x - $0.50 * x
Combine like terms:
$30 = $1.50 * x
To get 'x' by itself, divide 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.