A hair stylist schedules \(\frac{1}{4}\) hour to trim a customer's hair and \(\frac{1}{6}\) hour to style the customer's hair. The hair stylist plans to work \(3 \frac{1}{3}\) 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 schedule 100 appointments each week. ;

Answered by qwfish | 2024-06-18

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.

Answered by kmatras1 | 2024-06-24

The hair stylist can schedule 40 appointments each week, working a total of 1000 minutes. Each appointment takes 25 minutes, combining trimming and styling. With a daily work schedule of 3 1/3 hours across 5 days, this allows for 40 appointments in total.
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Answered by kmatras1 | 2024-09-30