Question

A hairstylist schedules 1/4 hours to trim a customer's hair and 1/6 hours to style the customer's hair. The hairstylist plans to work 3 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

Answer 1

A hair stylists works ¼ to trim customer’s hair
=> 1/6 to style customer’s hair
=> 1/6 + ¼
Find the least common multiple of both denominator:
=> 1/6 + ¼ = 10/24
Simplify
=> 5/12
Now, he works 3 1/3 hour each day in  5 days
=> 3 1/3 x 5
=> 16 ½ hours in 5 days
Now, divide
=> 16 ½ divided by 5/12
=> 39 ; approximately 39 customer in 5 days can a hairstylist accommodate.