Ahair 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 hair stylist can make 40 appointments a week.

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): 

1000/25 = 40.

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