Question

A hairstylist schedules 1/4 hour tot trim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 3 1/2 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 hairstylist schedules 1/4 hour tot trim a customer's hair and 1/6 hour to style the customer's hair.

Hours scheduled for 1 customer = trim + style the customer hair

= $\frac{1}{4} + \frac{1}{6}=\frac{10}{24} = \frac{5}{12}$  

So 1 customer can be  scheduled for 5/12 hours

The hairstylist plans to work $3\frac{1}{2} or \frac{7}{2}$hours each day

We find out how many customers can be scheduled per day

$\frac{\frac{7}{2}}{\frac{5}{12}}=\frac{42}{5}$ = 8.4

Its approximately 8 appointments per day

He works for 5 days in a week

So 5 * 8 appointments = 40 appointments

40 appointments can the hairstylist schedule each week if each customer must be trimmed and styled