Question

Miss Franklin is getting married soon. She would like to hire a professional who will come to her house and do hair and makeup for the bridal party on her wedding day. She has narrowed it down to two possible choices. A woman from Princeton Salon charges an initial fee of $50 and then an additional $25 per hour. Alternatively, a team from Beauty by Angie offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain amount of time to finish everyone's hair and makeup, Miss Franklin will end up paying the same amount either way. How much would Miss Franklin end up paying?

Answer 1

10 hours

Explanation:

Let A be the Princeton Salon and B is Beauty by Angle.

Build a table that contains the information. See attached.

The cost, y, for x hours, for each option would be:

A: y(A) = 50 + 25x

B: y(B) = 0 + 30x

We want to find the hours, x, for which both options, so set them equal to each other:

50 + 25x = 0 + 30x

-5x = 150

x = 10 hours

The table confirms this calculation.