(0.65 - 0.05) / 0.02 = 30 days
Add one day -- so 31 days
Add one day -- so 31 days
Let's say the book was overdue for x days. We know that the borrower paid 5 cents for the first day, so that would leave 65 - 5 = 60 cents for the remaining days. Since each additional day costs 2 cents, we can set up the equation 2(x-1) = 60.
Simplifying, we have 2x - 2 = 60. Adding 2 to both sides, we get 2x = 62. Finally, dividing both sides by 2, we find that x = 31.
Therefore, the book was overdue for 31 days. That's quite a long time for a book to go "missing" from the library shelves!
Let's assume the book was overdue for x days.
The charges for the first day is 5 cents, and for each additional day, it is 2 cents. So, the total charges for x days can be calculated as:
Total charges = 5 cents (for the first day) + 2 cents (for each additional day) * (x - 1)
It is given that the borrower paid 65 cents in late charges. So, we can set up the equation:
65 cents = 5 cents + 2 cents * (x - 1)
Now, let's solve the equation to find the value of x:
65 = 5 + 2(x - 1)
65 = 5 + 2x - 2
65 - 5 + 2 = 2x
62 = 2x
x = 31
Therefore, the book was overdue for 31 days.
Let's assume the book was overdue for 'x' days, excluding the first day. Since the library charges 5 cents for the first day, we subtract that amount from the total late charges. Now, we are left with 65 - 5 = 60 cents.
For each additional day that the book is overdue, the library charges 2 cents. Therefore, for 'x' days (excluding the first day), the additional late charges would be 2 * x cents.
We can set up an equation to represent the total late charges:
60 = 2 * x
Simplifying the equation:
2x = 60
Divide both sides of the equation by 2:
x = 60 / 2
x = 30
Therefore, the book was overdue for 30 days (excluding the first day).