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.
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
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.