Question

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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The total cost to make one quiche is $30 + $0.50 = $<<30+0.50=30.50>>30.50.

The Spanish Club needs to sell a total of $30.50 / $2 = <<30.50/2=15.25>>15.25 quiches to break even.
Since the Spanish Club cannot sell a fraction of a quiche, they will need to sell a total of 16 quiches in order to break even. Answer: \boxed{16}.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine how many 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 from selling them.

The cost of making the quiches consists of two parts: the fixed cost of $30 and the variable cost of $0.50 per quiche for the ingredients.

Let's assume the Spanish Club wants to sell "x" number of quiches.

The cost of making the quiches will be $30 (fixed cost) + $0.50 (variable cost per quiche) * x (number of quiches).
This can be written as: cost = $30 + $0.50x

The revenue from selling the quiches will be the selling price per quiche multiplied by the number of quiches sold.
The revenue can be calculated as revenue = $2 * x.

For the Spanish Club to break even, the revenue should be equal to the cost:
$2x = $30 + $0.50x

To solve this equation, we can subtract $0.50x from both sides:
$2x - $0.50x = $30

Combining like terms:
$1.50x = $30

To find the value of x, we can divide both sides of the equation by $1.50:
x = $30 / $1.50

x = 20

Therefore, the Spanish Club will need to sell 20 mini quiches in order to break even.

Answer 3

[AI-generated answer — Explain Bot]

To calculate the number of quiches the Spanish Club needs to sell in order to break even, we first need to determine the total cost of making the quiches and the total revenue from selling them.

The cost to make the quiches consists of two components: a fixed cost of $30 for the culinary department and a variable cost of $0.50 per quiche for the ingredients.

Let's assume the number of quiches needed to be sold to break even is denoted by 'x'.

The total cost would be:
Fixed Cost + Variable Cost = $30 + ($0.50 * x)

Now for the revenue:
The selling price of each quiche is $2, so the total revenue would be:
Selling Price * Number of Quiches = $2 * x

To break even, the total cost should equal the total revenue:
$30 + ($0.50 * x) = $2 * x

Now we can solve the equation to find the value of 'x'.

Rearranging the equation, we have:
$30 = $2 * x - $0.50 * x
$30 = $1.50 * x

Dividing both sides of the equation by $1.50, we get:
x = $30 / $1.50
x = 20

So, to break even, the Spanish Club needs to sell 20 quiches.