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 answer

To break even, Akeem needs to cover his expenses of $40 renter's fee plus $2 per cup of lemonade.

Let's call the number of cups he needs to sell to break even as x.

Total expenses = $40 + $2x
Total revenue = $6x

To break even, total expenses = total revenue
$40 + $2x = $6x

Subtract $2x from both sides:
$40 = $6x - $2x
$40 = $4x

Divide by 4 on both sides:
x = 10

Akeem needs to sell 10 cups of lemonade to break even.