To solve this problem, let's break it down into clear steps.
1. Understand the given information:
- We know that 25% of the price of the book is [tex]$40.00.
- We are asked to find \(\frac{1}{4}\) of the price of the book.
2. Express 25% in a mathematical form:
- 25% can be written as \(\frac{25}{100}\) or \(\frac{1}{4}\) of the total price of the book.
3. Set up an equation:
- Let the full price of the book be \( x \).
- According to the problem, \(\frac{1}{4} \times x = 40.00\).
4. Solve for \( x \):
- To find the full price, multiply both sides of the equation by 4:
\[
x = 40.00 \times 4 = 160.00.
\]
- So, the full price of the book is $[/tex]160.00.
5. Determine [tex]\(\frac{1}{4}\)[/tex] of the full price:
- Since [tex]\(\frac{1}{4}\)[/tex] of the book's price is the same percentage given:
[tex]\[
\frac{1}{4} \times 160.00 = 40.00.
\][/tex]
Therefore, [tex]\(\frac{1}{4}\)[/tex] of the price of the book is [tex]$40.00.
The answer is B) $[/tex]40.00.
