Akeem wants to have a lemonade stand at the community fair. It costs him $2 to make each cup of lemonade plus a $40 renter's fee for the stand. He sells the lemonade for $6 per cup. How many cups does Akeem have to sell to break even? (1 point)
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To break even, Akeem needs to earn enough money to cover his costs.
First, let's calculate his costs.
- Rent fee: $40
- Cost per cup of lemonade: $2
Total cost = Rent fee + (Cost per cup x Number of cups)
Total cost = $40 + ($2 x Number of cups)
Next, let's calculate his revenue.
- Price per cup of lemonade: $6
To break even, Akeem's revenue must be equal to his total cost.
Revenue = Total cost
$6 x Number of cups = $40 + ($2 x Number of cups)
Now we can solve for the number of cups.
$6n = $40 + $2n (n is the number of cups)
$6n - $2n = $40
$4n = $40
n = $40 / $4
n = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.
To find the number of cups Akeem needs to sell to break even, we need to calculate the total cost and the total revenue.
Let's start with the cost:
Each cup of lemonade costs Akeem $2 to make, and he has to pay a renter's fee of $40. Therefore, the total cost is calculated as:
Total Cost = (Cost per Cup * Number of Cups) + Renter's fee
Total Cost = ($2 * Number of Cups) + $40
Now, let's calculate the revenue:
Akeem sells each cup of lemonade for $6. So the total revenue is:
Total Revenue = Price per Cup * Number of Cups
Total Revenue = $6 * Number of Cups
To break even, Akeem's total cost and total revenue should be equal. Therefore, the equation becomes:
Total Cost = Total Revenue
Substituting the values, we have:
($2 * Number of Cups) + $40 = $6 * Number of Cups
Let's solve the equation to find the number of cups Akeem needs to sell to break even.
Starting with the equation:
$2 * Number of Cups + $40 = $6 * Number of Cups
Rearranging the equation, we get:
$40 = $6 * Number of Cups - $2 * Number of Cups
Combining like terms, we have:
$40 = $4 * Number of Cups
Dividing both sides of the equation by $4, we get:
$40 / $4 = Number of Cups
Simplifying, we find:
Number of Cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.
To calculate the number of cups Akeem needs to sell to break even, we need to determine the total cost and the revenue generated from selling cups of lemonade.
Let's start by calculating the total cost:
Cost per cup = $2
Renter's fee = $40
Total cost = (Cost per cup x Number of cups) + Renter's fee
Next, let's calculate the total revenue:
Selling price per cup = $6
Now, let's set up the equation to find the number of cups Akeem needs to sell to break even:
Total cost = Total revenue
(Cost per cup x Number of cups) + Renter's fee = Selling price per cup x Number of cups
Simplifying the equation, we have:
$2 x Number of cups + $40 = $6 x Number of cups
Now, let's solve for the number of cups:
$2 x Number of cups - $6 x Number of cups = -$40
Combine like terms:
-$4 x Number of cups = -$40
Now, let's isolate the number of cups:
Number of cups = -$40 / -$4
Number of cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.