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)
Responses
12 quiches
12 quiches
75 quiches
75 quiches
45 quiches
45 quiches
20 quiches
To break even, the Spanish Club needs to cover the cost of making the quiches.
The cost of making each quiche is $30 + $0.50 = $30.50.
Therefore, they need to sell $30.50 worth of quiches to break even.
To find out how many quiches they need to sell, divide the break-even amount by the selling price per quiche:
$30.50 / $2 = 15.25 quiches.
Since they cannot sell a fraction of a quiche, they would need to sell at least 16 quiches to break even.
The closest option to 16 quiches is 12 quiches, which is the correct answer.
To calculate how many quiches the Spanish Club needs to sell in order to break even, let's first determine the total cost of making the quiches.
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 'x'. Therefore, the total cost of making the quiches can be calculated as:
Cost = $30 + ($0.50 * x)
Next, let's determine the revenue generated from selling the quiches. The club plans to sell each quiche for $2. Therefore, the revenue can be calculated as:
Revenue = $2 * x
For the club to break even, the total cost and revenue should be equal. So we can equate the cost and revenue and solve for x:
$30 + ($0.50 * x) = $2 * x
Next, let's solve for x:
$30 + $0.50x = $2x
$30 = $2x - $0.50x
$30 = $1.50x
Now, let's isolate x by 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.
To determine the number of quiches the Spanish Club needs to sell in order to break even, let's break down the costs and revenues involved.
Costs:
1. The culinary department charges $30 for making the quiches.
2. The ingredients cost $0.50 per quiche.
Revenues:
The Spanish Club sells each quiche for $2.
To break even, the total costs should equal the total revenues.
Let's calculate the total costs:
Cost of making the quiches: $30
Cost of ingredients per quiche: $0.50
Total cost = $30 + ($0.50 x number of quiches)
Now, let's calculate the total revenues:
Revenue per quiche: $2
Total revenue = $2 x number of quiches
To break even, the total costs should equal the total revenues:
$30 + ($0.50 x number of quiches) = $2 x number of quiches
We can now solve this equation to find the number of quiches needed to break even:
$30 + ($0.50 x number of quiches) = $2 x number of quiches
$30 = $2 x number of quiches - $0.50 x number of quiches
$30 = $1.50 x number of quiches
Number of quiches = $30 / $1.50
After calculating this, we find that the number of quiches needed to break even is 20 quiches.
Therefore, the correct answer is:
20 quiches