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?
75 quiches
45 quiches
20 quiches
12 quiches
To break even, the amount earned from selling the quiches must be equal to the cost of making them.
The total cost of making the quiches is $30 + ($0.50 * number of quiches).
The total revenue earned from selling the quiches is $2 * number of quiches.
To break even, the equation will be:
$30 + ($0.50 * number of quiches) = $2 * number of quiches.
To solve for the number of quiches needed to break even:
30 + (0.50 * number of quiches) = 2 * number of quiches
30 + 0.50 * number of quiches = 2 * number of quiches
30 = 1.50 * number of quiches
number of quiches = 30 / 1.50
number of quiches = 20.
Therefore, they will need to sell 20 quiches in order to break even.
So, the correct answer is: 20 quiches.
To break even, the revenue should cover the cost.
Let's calculate the cost of making the quiches:
Cost = $30 (fixed cost for ingredients) + ($0.50 * Number of quiches)
And the revenue earned from selling the quiches:
Revenue = $2 * Number of quiches
Now, we can set up an equation to find the number of quiches needed to break even:
Cost = Revenue
$30 + ($0.50 * Number of quiches) = $2 * Number of quiches
Simplifying the equation:
$30 + $0.50 * Number of quiches = $2 * Number of quiches
$30 = $2 * Number of quiches - $0.50 * Number of quiches
$30 = $1.50 * Number of quiches
Number of quiches = $30 / $1.50
Number of quiches = 20
Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
The correct answer is 20 quiches.
To find out how many quiches the Spanish Club needs to sell in order to break even, we need to calculate their total cost and their total revenue.
The cost to make the quiches is $30 plus $0.50 per quiche for the ingredients. Let's assume they need to make X number of quiches.
So, the total cost to make X quiches will be:
Cost = $30 + ($0.50 * X)
The Spanish Club plans to sell each quiche for $2. Let's assume they sell Y number of quiches.
So, the total revenue from selling Y quiches will be:
Revenue = $2 * Y
To break even, the total revenue should be equal to the total cost:
Revenue = Cost
Substituting the values:
$2 * Y = $30 + ($0.50 * X)
We need to solve this equation to find the value of X or Y.
Given the answer choices, we can substitute them one by one to see which option satisfies the equation.
Let's start with option 75 quiches:
$2 * 75 = $30 + ($0.50 * X)
$150 = $30 + ($0.50 * X)
$150 = $30 + $0.50X
$150 - $30 = $0.50X
$120 = $0.50X
240 = X
So, if they sell 75 quiches, the equation is not balanced, which means they won't break even with 75 quiches.
We can continue this process for the other answer choices.
Let's try the option 45 quiches:
$2 * 45 = $30 + ($0.50 * X)
$90 = $30 + ($0.50 * X)
$90 = $30 + $0.50X
$90 - $30 = $0.50X
$60 = $0.50X
120 = X
If they sell 45 quiches, the equation is balanced, which means they will break even with 45 quiches.
Therefore, the correct answer is 45 quiches.