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?

Answer 1

The cost to make one cup of lemonade is $2.
The renter's fee is $40.
Therefore, the total cost to set up the lemonade stand is $2 x N + $40, where N is the number of cups he sells.
The price he sells each cup for is $6.
To break even, the total revenue from selling N cups of lemonade must equal the total cost, so $6 x N = $2 x N + $40.
Combining like terms on the right side gives $6N = $2N + $40.
Subtracting $2N from both sides gives $4N = $40.
Dividing both sides by $4 gives N = 10.
Therefore, Akeem must sell 10 cups of lemonade to break even. Answer: \boxed{10}.