John read the first
\[114\] pages of a novel, which was
\[3\] pages less than

\[\dfrac{1}3\] of the novel.
Write an equation to determine the total number of pages
\[(p)\] in the novel.

Let's break down the problem step by step:

1. **Information given**:
   - John read 114 pages.
   - This is 3 pages less than \(\dfrac{1}{3}\) of the total number of pages in the novel.

2. **Representing the total number of pages**:
   - Let \( p \) represent the total number of pages in the novel.

3. **Expression for one-third of the novel**:
   - \(\dfrac{1}{3}\) of the novel's total pages would be \(\dfrac{1}{3}p\).

4. **Setting up the equation**:
   - According to the problem, 114 pages is 3 pages less than \(\dfrac{1}{3}p\).
   - This can be written as:
   \[
   114 = \dfrac{1}{3}p - 3
   \]

This equation can now be solved to find the total number of pages, \( p \), in the novel.

Would you like a step-by-step solution, or do you have any other questions?

Here are some related questions to consider:
1. How do you solve the equation to find \( p \)?
2. What if John had read 120 pages, how would the equation change?
3. How would the equation change if it were \( \dfrac{1}{4} \) instead of \( \dfrac{1}{3} \)?
4. Can you rearrange the equation to solve for \( p \) directly?
5. What is the interpretation of the term \(\dfrac{1}{3}p\) in the context of this problem?

**Tip**: When dealing with word problems, clearly defining what each variable represents can make setting up the equation much easier.

Learn how to calculate the total number of pages in a novel when John reads 114 pages, which is 3 pages less than one-third of the total novel's pages. Includes step-by-step equation setup and solving. Suitable for Grades 7-9 students learning basic algebra and equations.

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