Question

Nora is looking for a job cutting hair. One option is self-employment at The Bluepoint Salon, where she would pay $416 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $2 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How many haircuts would that be? How much would Nora pay?

Answer 1

Therefore, if Nora performs 208 haircuts in a month, she would pay the same amount whether she rented a station at The Bluepoint Salon or worked at a franchise. She would pay $416 in either case.
Explanation:

Let's start by setting up an equation to represent the situation:

416 = 2x

where x is the number of haircuts Nora would need to perform in a month for the costs to be equal.

Solving for x:

x = 416/2

x = 208

So, if Nora performs 208 haircuts in a month, the costs of renting a station at The Bluepoint Salon and working at a franchise would be the same.

To find out how much Nora would pay in either scenario, we just need to plug in the value of x:

Renting a station at The Bluepoint Salon:

Nora pays $416 per month

Working at a franchise:

Nora performs 208 haircuts, so she pays the salon $2 for each one:

208 * 2 = $416