Question

Brittany's lemonade stand costs $90 to build and each cup of lemonade costs $2 in ingredients. How many cups of lemonade must she sell to break even if she sells each cup for $4?

Answer 1

Answer:

She must sell 45 cups of lemonade to break even.

Step-by-step explanation:

Given:

Brittany's lemonade stand costs $90 to build and each cup of lemonade costs $2 in ingredients.

If she sells each cup for $4.

Now, to find the quantity of cups of lemonade she must sell to break even.

$2 for each cup of lemonade ingredients:

And, she sells per cup for $4.

So, her profit for per cup is:

$\ 4-\ 2\\\\=\ 2.$

Let the quantity of cups of lemonade be $x.$

Cost of Brittany's lemonade stand = $90.

Now, to get the quantity of cups we set an equation:

$2x=90$

Dividing both sides by 2 we get:

$x=45.$

The quantity of cups of lemonade = 45.

Therefore, she must sell 45 cups of lemonade to break even.