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?

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?

20 quiches
45 quiches
75 quiches
12 quiches

Answer 1

To break even, the Spanish Club needs to cover the cost of making the quiches. The cost of making the quiches is $30 plus $0.50 per quiche.

Let's assume they want to sell 'x' quiches to break even.
So the total cost of making the quiches would be $30 + $0.50x.
To cover this cost, they need to sell the quiches for at least the same amount, which is $2 per quiche.
So the total revenue from selling 'x' quiches would be $2x.
To break even, the revenue should be equal to the cost, so we can set up the equation:
$2x = $30 + $0.50x
Subtracting $0.50x from both sides:
$1.50x = $30
Dividing both sides by $1.50:
x = $30 / $1.50
x = 20
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.

Answer 2

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

1. Total Cost:
The culinary department charges $30 for making the quiches and an additional $0.50 per quiche for the ingredients. Let's denote the number of quiches as 'Q'.
So, the total cost (C) is given by:
C = $30 + ($0.50 * Q)

2. Total Revenue:
The Spanish Club plans to sell each quiche for $2, and they want to cover their costs. So, the total revenue (R) is given by:
R = $2 * Q

To break even, the total revenue should be equal to the total cost. Therefore, we have the equation:

R = C

$2 * Q = $30 + ($0.50 * Q)

Now, let's solve this equation to find the value of Q:

$2 * Q - $0.50 * Q = $30

$1.50 * Q = $30

Divide both sides of the equation by $1.50:

Q = $30 / $1.50

Q ≈ 20

Therefore, the Spanish Club needs to sell approximately 20 quiches in order to break even.

So the correct answer is: 20 quiches.

Answer 3

To find how many quiches the Spanish Club needs to sell to break even, we need to calculate the total cost of making the quiches and compare it to the revenue they will make from selling them.

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

Let's start by calculating the cost of making one quiche:
Cost per quiche = Fixed cost + Variable cost per quiche
Cost per quiche = $30 + $0.50
Cost per quiche = $30.50

Now, we need to determine the revenue from selling one quiche, which is $2.

To break even, the total cost of making the quiches should be equal to the total revenue from selling them.

Let's set up an equation to find the number of quiches needed to break even:
Total cost = Total revenue
Number of quiches * Cost per quiche = Number of quiches * Revenue per quiche

Substituting the values we have:
Number of quiches * $30.50 = Number of quiches * $2

Now, we can simplify the equation by dividing both sides by the revenue per quiche ($2):
Number of quiches * $30.50 / $2 = Number of quiches

The number of quiches cancels out on both sides, leaving us with:
$30.50 / $2 = 15.25

Since we can't sell a fraction of a quiche, we need to round up to the nearest whole number.

Therefore, the Spanish Club needs to sell at least 16 quiches to break even.

Out of the options given, the closest number is 20 quiches, so the answer is 20 quiches.