Questions 1-3. You invest $310 to start a sandwich stand and decide to charge $4.75 per sandwich.
How many sandwiches must you sell to make a $100 profit?
(round up to the nearest sandwich)
4.75x - 310 ≥ 100
x ≥ 86.3
So, you must sell 87 sandwiches
To find out how many sandwiches you must sell to make a $100 profit, we'll need to consider the initial investment and the profit per sandwich.
Let's break down the information given:
Initial investment: $310
Profit per sandwich: $4.75
Desired profit: $100
To calculate the number of sandwiches needed to make a $100 profit, we can set up an equation:
Profit = (Price per sandwich - Cost per sandwich) * Number of sandwiches
In this case, the profit we desire is $100, the price per sandwich is $4.75, and the cost per sandwich is not given. Since the cost per sandwich is not mentioned, let's assume it doesn't affect the profit calculation, so we'll consider it as $0.
Profit = ($4.75 - $0) * Number of sandwiches
$100 = $4.75 * Number of sandwiches
Now we can solve for the number of sandwiches:
Number of sandwiches = $100 / $4.75
Using a calculator, we get:
Number of sandwiches = 21.05
Since we can't sell a fraction of a sandwich, we need to round up to the nearest whole sandwich. Therefore, you must sell at least 22 sandwiches to make a $100 profit.