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Answer :
Final answer:
The hairstylist can serve 8 customers per day, and since they work 5 days a week, they can serve 40 customers in a week. The correct answer is 40 customers per week. Therefore, the answer is option c.
Explanation:
The question asks us to calculate how many customers a hairstylist can serve in a week, given the time it takes to trim and style hair, and the working hours.
To solve this, we first need to determine the total time spent on one customer, which is the sum of the time for a trim (1/4 hour) and the time for styling (1/6 hour). We then calculate how many customers can be served in one day and multiply this by the number of working days in a week.
Total time per customer = 1/4 hour + 1/6 hour = 3/12 hour + 2/12 hour = 5/12 hour per customer.
The hairstylist works 3 1/3 hours each day, which is 10/3 hours. To find out how many customers can be served per day, we divide the daily working hours by the time per customer:
Customers per day = (10/3 hours) / (5/12 hours/customer) = (10/3) * (12/5) customers = 40/5 customers = 8 customers per day.
Since the hairstylist works 5 days a week, we multiply the number of customers per day by 5:
Customers per week = 8 customers/day * 5 days/week = 40 customers per week.
The correct answer is c. 40.
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