A hairstlist schedules 1/4 hour to trim a customers hair and 1/6 hour to style. The hairstylist plans to work 3 1/3 hours each day. How many appointments can she schedule?

1/4 hour = 15 minutes

1/6 hour = 10 minutes

3 1/3 hours = 200 minutes

200 / 25 = ______ appointments

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To find out how many appointments the hairstylist can schedule, we need to divide the total working hours by the time required for each appointment.

First, let's convert 3 1/3 hours to an improper fraction:
3 hours = (3 x 60) = 180 minutes
1/3 hour = (1/3 x 60) = 20 minutes

So, 3 1/3 hours is equal to (180 + 20) = 200 minutes.

Now, let's calculate the time required for each appointment. The hairstylist requires 1/4 hour for a haircut (trim) and 1/6 hour for styling.

1/4 hour = (1/4 x 60) = 15 minutes
1/6 hour = (1/6 x 60) = 10 minutes

Therefore, each appointment takes a total of (15 + 10) = 25 minutes.

Finally, we can calculate the number of appointments the hairstylist can schedule by dividing the total working time (in minutes) by the time required per appointment:

Number of appointments = Total working time / Time per appointment
Number of appointments = 200 minutes / 25 minutes
Number of appointments = 8

The hairstylist can schedule a total of 8 appointments.