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)
A. 45 quiches
B. 20 quiches
C. 75 quiches
D. 12 quiches
To break even, the total cost of making the quiches should equal the total revenue from selling them.
The cost of making the quiches is $30 + ($0.50 x number of quiches).
The revenue from selling the quiches is $2 x number of quiches.
Setting these two expressions equal to each other and solving for the number of quiches:
$30 + ($0.50 x number of quiches) = $2 x number of quiches
$30 + $0.50 x = $2 x
$0.50 x = $2 x - $30
$0.50 x = $2 x - $30
Simplifying the equation:
$1.50 x = $30
Dividing both sides by $1.50:
x = $30 / $1.50
x = 20
The Spanish Club will need to sell 20 quiches in order to break even.
Answer: B. 20 quiches
To find out 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 revenue generated from selling them.
The cost of making one quiche is $30 for the culinary department plus $0.50 per quiche for the ingredients.
Let's assume the Spanish Club needs to sell X number of quiches to break even.
The total cost of making X quiches is: $30 + ($0.50 * X)
The revenue generated from selling X quiches is: $2 * X
To break even, the total cost should equal the revenue generated:
$30 + ($0.50 * X) = $2 * X
Now, let's solve this equation to find out the value of X:
$30 + $0.50X = $2X
$30 = $2X - $0.50X
$30 = $1.50X
Dividing both sides by $1.50:
$30 / $1.50 = X
X = 20
Therefore, the Spanish Club needs to sell 20 quiches in order to break even.
Therefore, the answer is B. 20 quiches.
To determine the number of quiches the Spanish Club needs to sell in order to break even, we need to calculate the total cost and the total revenue.
The culinary department charges $30 for making the quiches, and an additional $0.50 per quiche for the ingredients. Let's represent the number of quiches as 'x'. Therefore, the total cost to make the quiches can be calculated as:
Total cost = $30 + $0.50x
The Spanish Club plans to sell each quiche for $2. So, the total revenue can be calculated as:
Total revenue = $2 * x
To break even, the total cost should be equal to the total revenue. Therefore, we can set up an equation:
$30 + $0.50x = $2x
Let's solve the equation to find the value of 'x'.
- Subtract $0.50x from both sides of the equation:
$30 = $2x - $0.50x
- Simplify:
$30 = $1.50x
- Divide both sides of the equation by $1.50 to isolate 'x':
x = $30 / $1.50
Now, let's divide $30 by $1.50 to find the value of 'x':
x = 20
So, the Spanish Club will need to sell 20 quiches in order to break even.
Therefore, the correct answer is B. 20 quiches.