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 %2430 plus %240.50 per quiche for the ingredients. The Spanish Club wants to sell each quiche for %242. How many quiches will they need to sell in order to break even%3F(1 point) Responses 45 quiches 45 quiches 20 quiches 20 quiches 75 quiches 75 quiches 12 quiches
To break even, the total cost of making the quiches should be equal to the total revenue from selling them.
Total cost = $30 + ($0.50 per quiche) * (# of quiches)
Total revenue = $2 * (# of quiches)
Set the total cost equal to the total revenue:
$30 + ($0.50 per quiche) * (# of quiches) = $2 * (# of quiches)
Simplify the equation:
$30 + $0.50(# of quiches) = $2(# of quiches)
$30 = $1.50(# of quiches)
Divide both sides of the equation by $1.50:
20 = # of quiches
Therefore, they will need to sell 20 quiches to break even.
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 selling price per quiche.
The culinary department charges $30 for making the quiches and an additional $0.50 per quiche for the ingredients. So the cost per quiche is $30 + $0.50 = $30.50.
The Spanish Club plans to sell each quiche for $2.
To break even, the total revenue from selling the quiches must equal the total cost.
Let's assume the number of quiches to be sold is 'x'. So the total revenue is $2 * x = $2x.
The total cost is $30.50 * x = $30.50x.
Setting the total revenue equal to the total cost, we get:
$2x = $30.50x
To solve for 'x', we divide both sides of the equation by $30.50:
$2x/$30.50 = $30.50x/$30.50
2x/30.50 = x
Now we can solve for 'x':
2x = 30.50x
2x - 30.50x = 0
-28.50x = 0
Dividing both sides by -28.50:
x = 0
Therefore, to break even, the Spanish Club needs to sell 0 quiches.
To determine the number of quiches the Spanish Club needs to sell in order to break even, you need to consider the cost of making the quiches and the selling price of each quiche.
The cost to make each quiche is $30 for the culinary department plus $0.50 for the ingredients, totaling $30 + $0.50 = $30.50 per quiche.
The selling price of each quiche is $2.
To break even, the total revenue from selling the quiches needs to be equal to the total cost of making them.
Let's assume the Spanish Club needs to sell x number of quiches to break even.
So the equation for the revenue can be written as x * $2.
And the equation for the cost can be written as $30.50 * x.
To find the value of x, we can set the two equations equal to each other:
x * $2 = $30.50 * x
Dividing both sides of the equation by x:
$2 = $30.50
As the equation is not balanced, it means there is no solution for the equation. Therefore, it is not possible to determine the number of quiches the Spanish Club needs to sell to break even from the given information.
Hence, none of the options provided (45 quiches, 20 quiches, 75 quiches, 12 quiches) is correct.