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?
how many cups
To find out how many cups Akeem has to sell to break even, we need to calculate the total cost and the total revenue.
First, we calculate the total cost:
Cost per cup: $2
Renter's fee: $40
Total cost: $2 x Number of cups + $40
Next, we calculate the total revenue:
Selling price per cup: $6
Total revenue: $6 x Number of cups
For Akeem to break even, the total cost must be equal to the total revenue.
Therefore, $2 x Number of cups + $40 = $6 x Number of cups
Now, we solve for the number of cups:
$2 x Number of cups + $40 = $6 x Number of cups
$40 = $6 x Number of cups - $2 x Number of cups
$40 = $4 x Number of cups
Number of cups = $40 / $4
Number of cups = 10
Akeem has 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 per cup.
The total cost includes both the cost of making each cup and the renter's fee.
Total Cost = Cost per Cup * Number of Cups + Renter's Fee
Total Cost = $2 * Number of Cups + $40
The revenue per cup is the selling price of each cup.
Revenue per Cup = $6
To break even, the revenue should be equal to the total cost.
Revenue = Total Cost
$6 * Number of Cups = $2 * Number of Cups + $40
To solve for the number of cups, we can subtract $2 * Number of Cups from both sides and then divide both sides by $4.
$6 * Number of Cups - $2 * Number of Cups = $2 * Number of Cups + $40 - $2 * Number of Cups
$4 * Number of Cups = $40
Number of Cups = $40 / $4
Calculating the above equation:
Number of Cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.
To determine the number of cups Akeem needs to sell to break even, we need to calculate his total cost and total revenue.
Akeem's cost per cup of lemonade is $2, and he has to pay a $40 renter's fee for the stand. So his total cost is given by the equation:
Total Cost = (Cost Per Cup * Number of Cups) + Renter's Fee
His revenue per cup of lemonade is $6. So his total revenue is given by the equation:
Total Revenue = Revenue Per Cup * Number of Cups
To break even, Akeem's total revenue must equal his total cost. Therefore, we can set up the following equation:
Total Revenue = Total Cost
Now let's substitute the given values into the equations and solve for the unknown variable (Number of Cups):
Total Cost = ($2 * Number of Cups) + $40
Total Revenue = $6 * Number of Cups
Setting the equations equal to each other:
$6 * Number of Cups = ($2 * Number of Cups) + $40
Simplifying the equation:
$6 * Number of Cups - $2 * Number of Cups = $40
Combining like terms:
$4 * Number of Cups = $40
Dividing both sides by $4:
Number of Cups = $40 / $4
Calculating the result:
Number of Cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even at the community fair.