Final answer:
To find out the price Mia should charge for the cookies, set up an inequality: 55x - 30 > 90. Solve the inequality to find x > 2.18.
Step-by-step explanation:
To find out the price Mia should charge for the cookies, we need to set up an inequality.
Let's assume the price Mia charges for each cookie is 'x'. The total profit Mia needs to make is $90.
The cost of supplies for making 55 cookies is $30. So, the profit Mia makes from selling 55 cookies is equal to the revenue she gets from selling the cookies minus the cost of supplies.
Since the revenue is calculated by multiplying the price per cookie by the number of cookies sold, the revenue Mia gets from selling 55 cookies is 55x.
Therefore, the inequality to find out the price Mia should charge for the cookies is: 55x - 30 > 90.
To solve this inequality, we can start by adding 30 to both sides of the inequality: 55x > 120.
Finally, we divide both sides of the inequality by 55 to solve for x, which gives us the price Mia should charge for each cookie: x > 2.18.