Chapter 4.6, Problem 15PPS

To determine

To find: The daily fine for an overdue

Answer to Problem 15PPS

The daily fine for an overdue is $0.25.

Explanation of Solution

Given:

The previous unpaid balance is $0.90.

Total new balance is $2.40.

Calculation:

Let f be the daily fine for an overdue of a book.

Then the fine for 6 days for an overdue book is 6f .

The previous unpaid balance is $0.90.

Total new balance is $2.40.

Putting all together, the required equation is,

  $6f+0.90=2.40\mathrm{........}\text{(1)}$

Find the daily fine for an overdue book.

Solve the equation (1) for f .

  $\begin{array}{l}6f+0.90=2.40\\ 6f+0.90-0.90=2.40-0.90\text{ Subtraction property of equality}\\ 6f=1.50\text{ Simplify}\\ \frac{6f}{6}=\frac{1.50}{6}\text{ Division property of equality}\\ f=0.25\end{array}$

Hence, daily fine for an overdue is $0.25.

Conclusion:

Hence, daily fine for an overdue is $0.25