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?

Verified Answer :

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.