Question

Abby is looking for a job cutting hair. One option is self-employment at The Yardley Salon, where she would pay $700 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 $7 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How much would Abby pay?

Answer 1

Abby would need to perform 100 haircuts a month for the cost of working at The Yardley Salon or the franchise to be the same, and she would pay $700 at each place.

Step-by-step explanation:

Abby is weighing her options between self-employment and working for a franchise. To determine when the amount she pays to either salon would be the same, we need to set up an equation where the total cost at The Yardley Salon (fixed rate) equals the total cost at the franchise (variable rate).

Let's denote the number of haircuts per month by x. At The Yardley Salon, Abby's monthly cost would be a fixed $700, and at the franchise, it would be $7 per haircut.

Thus, the equation is 700 = 7x.

Solving for x, we get:
x = 700 / 7
x = 100 haircuts

Therefore, Abby would need to perform 100 haircuts a month for the cost to be the same at both places, which amounts to $700.