Final answer:
Ellie accumulated interest on her credit card debt for 31 days.
Step-by-step explanation:
To calculate the number of days that Ellie accumulated interest on her debt, we need to determine the number of days between the purchase date and the payment date. Ellie made the purchase on 20 September and paid off her debt on 14 December. First, let's calculate the number of days between the two dates:
Total days = (31 - 20) + 30 + 31 + 14 = 86 days.
Next, we can subtract the interest-free period of 55 days from the total days to find the number of days Ellie accumulated interest on her debt:
Number of days with interest = 86 - 55 = 31 days.
Therefore, Ellie accumulated interest on her debt for 31 days.