To break even, Akeem's total costs need to be equal to his total revenue.
His costs include the cost to make each cup of lemonade ($2) multiplied by the number of cups sold (c) and the renter's fee for the stand ($40).
His revenue is the selling price per cup ($6) multiplied by the number of cups sold (c).
So the equation is:
2c + 40 = 6c
Subtracting 2c from both sides, we get:
40 = 4c
Dividing both sides by 4, we get:
c = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.