Jasmine is a receptionist at a doctor's office. She books 36 appointments each day. Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?
Understand the Problem
The question is asking how many appointments are cancelled each day given that Jasmine books 36 appointments daily and four out of every 24 appointments are cancelled. We need to calculate the number of cancelled appointments based on these ratios.
Answer
The number of appointments cancelled each day is 6.
Answer for screen readers
The number of appointments cancelled each day is 6.
Steps to Solve
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Identify the cancellation ratio Jasmine has a cancellation rate of 4 out of every 24 appointments. This can be represented as the fraction: $$ \text{Cancellation Ratio} = \frac{4}{24} $$
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Simplify the cancellation ratio We can simplify the fraction to find the cancellation rate per appointment: $$ \frac{4}{24} = \frac{1}{6} $$ This means that 1 out of every 6 appointments is cancelled.
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Determine total appointments and calculate cancellations Next, we need to determine how many appointments are cancelled from the daily total of 36 appointments: $$ \text{Cancelled Appointments} = 36 \times \frac{1}{6} = 6 $$
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Final verification To confirm, calculate how many groups of 6 fit into 36: $$ 36 \div 6 = 6 $$ which aligns with our earlier calculation.
The number of appointments cancelled each day is 6.
More Information
Jasmine's cancellation rate means that approximately 16.67% of her booked appointments are cancelled. Understanding cancellation ratios can help in scheduling and managing overall appointment availability.
Tips
- Forgetting to simplify the cancellation ratio can lead to incorrect calculations.
- Misinterpreting the total number of appointments as the number directly cancelled without using the cancellation rate.
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