Ahairstylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customers 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? (show work)

So a trim lasts 1/4*60=15 minutes and a style lasts 1/6*60=10 minutes.
If we add these together, 15+10=25 minutes that is how long each customer takes.
In one day she works for 3 1/3*60=200 minutes in total, so can fit in 200/25=8 appointments per day.
So in 5 days she can have 8*5=40 total appointments each week.