Amanda opened a lemonade stand on her street it’s costs $10.75 to but the supplies each day and she sells lemonade for $1.50 a cup.

Question

If she wants to make at least $50.00 in profits (sales-expenses) each day what is the minimum number of cups or lemonade Amanda needs to sell

Answer 1

Let's denote the number of cups of lemonade Amanda needs to sell as X.

The equation for Amanda's profits each day would be:

Profit = Sales - Expenses
Profit = $1.50X - $10.75

We want Amanda to make at least $50.00 in profits each day, so we set up the following inequality:

$1.50X - $10.75 ≥ $50.00

Now we solve for X:

$1.50X - $10.75 ≥ $50.00
$1.50X ≥ $60.75
X ≥ 40.5

Since Amanda can't sell a fraction of a cup, she would need to sell at least 41 cups of lemonade to make a profit of at least $50.00 each day.