Answer:
40 appointments
Step-by-step explanation:
From the question, we have the following information
Amount of time to trim a customer's hair = 1/4 hour
Amount of time to style a customer's hair = 1/6 hour.
Total time spent on a customer
= (1/4 + 1/6)hour
L.C.M = 12
= (3 + 2/12) = 5/12 hour spent on a customer for trimming and styling
She plans to work for 3 1/3 hours per day for 5 days a week.
The total number of hours in a week that she works is calculated as:
3 1/3 × 5
= 10/3 × 5 = 50/3 hours = 23 1/3 hours
1 customer = 1 appointment = 5/12 hour
Therefore, the number of appointments she can schedule for 5 days a week if the customer must trim and style is calculated as:
5/6 hour = 1 appointment
50/3 hours = x appointments
Cross Multiply
5/6 hour × x = 50/3 hour × 1 appointment
x = 50/3 ÷ 5/12
x = 50/3 × 12/5
= 40 appointments.
The number of appointments she can schedule for 5 days a week if the customer must trim and style is 40 appointments.
