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?
Responses
12 quiches
75 quiches
20 quiches
45 quiches
To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 for the culinary department plus $0.50 per quiche for ingredients. Let's call the number of quiches they need to sell 'x'.
The cost of making the quiches will be $30 + ($0.50 * x).
The revenue from selling the quiches will be $2 * x.
To break even, the cost of making the quiches must equal the revenue from selling the quiches.
$30 + ($0.50 * x) = $2 * x.
Simplifying:
$30 = $2 * x - ($0.50 * x).
$30 = $1.50 * x.
Dividing both sides of the equation by $1.50:
x = $30 / $1.50.
x = 20.
Therefore, they will need to sell 20 quiches in order to break even.
To break even, the Spanish Club needs to cover the cost of making the quiches. The cost includes $30 for the culinary department and $0.50 per quiche for ingredients. Let's assume they need to sell ‘x’ number of quiches to break even.
Total cost = $30 + ($0.50 * x) = $30 + $0.50x
The selling price of each quiche is $2.
Total revenue = $2 * x = $2x
To break even, total cost = total revenue. Therefore:
$30 + $0.50x = $2x
Now, let's solve the equation to find 'x', the number of quiches they need to sell:
Subtract $0.50x from both sides:
$30 = $2x - $0.50x
Combine like terms:
$30 = $1.50x
Divide both sides by $1.50:
$x = 30 / 1.50
Simplify:
x = 20
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
To determine the number of quiches that 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 revenue generated from selling them.
The cost of making each quiche is $30 plus $0.50 for the ingredients, totaling $30 + $0.5 = $30.50 per quiche.
Let's represent the number of quiches the Spanish Club needs to sell as 'x'.
The total cost of making the quiches will be $30.50 multiplied by the number of quiches, resulting in 30.50x.
The revenue generated from selling the quiches will be $2 per quiche, so the total revenue will be $2 multiplied by the number of quiches, which is 2x.
To break even, the total cost should be equal to the total revenue. So we can set up an equation:
30.50x = 2x
By solving this equation, we can find the value of 'x', which represents the number of quiches needed to be sold to break even.
Dividing both sides by 2, the equation becomes:
30.50x / 2 = x
15.25x = x
Subtracting 'x' from both sides, we get:
14.25x = 0
Dividing both sides by 14.25, the equation simplifies to:
x = 0
This means that they don't need to sell any quiches to break even, which doesn't seem reasonable.
Therefore, none of the given options (12 quiches, 75 quiches, 20 quiches, 45 quiches) is the correct answer.