Does anyone have any idea on how to do this?

Question

Even just a slight idea. I can't figure it out.

An 85-year-old woman in Rotorua, New Zealand, won't have to pay her library fine. A book she borrowed from the local library in 1945 was found during a move. Based on the borrowing rules pasted inside the front cover of the book, the fine should have been over $6,000. However, the library simply asked for the privilege of displaying the book that was overdue for 61 years.

Based on the following pieced of information, what is the library's daily fine?

-The total fine was $6,679.80

-The book was overdue for 61 years.

-For the first two weeks of the overdue period, there was a set fine per day.

-The second two-week of the overdue period doubled the fine per day.

-After four weeks, the fine per day was tripled.

Answer 1

14*x + 14*2x + 61*365*3x - 14*3x = 6679.80

The original fine was $0.10/day

If leap years were not considered...

Answer 2

Thank you so much.
I understand everything other than why you subtracted 14*3x.
I'm wondering why.

Answer 3

Never mind I got it now. Thanks.