a hair stylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customers hair. the hair stylist plans to work 3 1/3 hours each day for 5 days each week. how many appointments can the hair stylist schedule each week if each customer must be trimmed and styled?
The easiest way to solve this problem is to convert the hours to minutes, which will get rid of the fractions. 1/4 hour is 15 minutes because 60/4 = 15, and 1/6 hour is 10 minutes because 60/6 = 10. The amount of time it takes for the hair stylist to trim and style a customer's hair is thus 25 minutes because 15 + 10 = 25.
Now 3 1/3 hours is 200 minutes, because 1/3 hour is 20 minutes (60/3 = 20), and 3 hours is 180 minutes (60 x 3 = 180). Together, 180 + 20 is 200 minutes. Multiplied by the 5 days of the week, the hair stylist will work 1000 minutes each week.
To figure out how many appointments a week the hair stylist can make, you should divide the number of minutes he or she will be working (1000) by the number of minutes it takes per appointment (25):