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 find out the number of cups Akeem needs to sell to break even, we need to determine the total cost and the revenue generated from selling the cups of lemonade.
First, let's calculate the total cost:
- The cost of making each cup of lemonade is $2.
- There is also a $40 renter's fee for the stand.
Total cost = (Cost per cup * Number of cups) + Renter's fee
To make this equation simpler, let's represent the number of cups as "x":
Total cost = ($2 * x) + $40
Next, let's calculate the revenue:
- Akeem sells each cup of lemonade for $6.
Revenue = Price per cup * Number of cups
Again, let's represent the number of cups as "x":
Revenue = $6 * x
Now, to find the break-even point, the revenue should equal the total cost:
Revenue = Total cost
$6 * x = ($2 * x) + $40
Let's solve this equation to find the value of "x":
$6x = $2x + $40
$6x - $2x = $40
$4x = $40
x = $40 / $4
x = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.
To calculate the break-even point, we need to find out how many cups Akeem needs to sell in order to cover his costs.
The cost to make each cup of lemonade is $2.
So, Akeem's total cost for making one cup of lemonade and renting the stand is $2 + $40 = $<<2+40=42>>42.
He sells each cup of lemonade for $6.
To break even, he needs to sell enough cups to cover his total cost of $42.
Therefore, Akeem needs to sell $42/$6 = <<42/6=7>>7 cups to break even. Answer: \boxed{7}.
To find out how many cups Akeem needs to sell to break even, we need to calculate his total costs and then divide it by the selling price of each cup.
1. Calculate the total cost for making each cup of lemonade:
Cost per cup = $2
2. Calculate the total cost for the stand rental:
Renter's fee = $40
3. Calculate the total cost (including both the cost per cup and the renter's fee):
Total cost = Cost per cup + Renter's fee
Total cost = $2 + $40
Total cost = $42
4. Calculate the selling price per cup of lemonade:
Selling price per cup = $6
5. Calculate the number of cups Akeem needs to sell to break even:
Number of cups = Total cost / Selling price per cup
Number of cups = $42 / $6
Number of cups = 7
Therefore, Akeem needs to sell 7 cups of lemonade to break even.