Question

john read the first 114 pages of a novel, which was 3 pages less than \\(\frac{1}{3}\\) of the novel.
write an equation to determine the total number of pages (\\(p\\)) in the novel.

find the total number of pages in the novel.

pages

Explanation:

Part 1: Write the equation

Step1: Analyze the relationship

114 pages is 3 less than $\frac{1}{3}$ of \( p \). So, $\frac{1}{3}p - 3$ equals 114.

Step2: Form the equation

The equation is $\frac{1}{3}p - 3 = 114$.

Part 2: Find the total number of pages

Step1: Add 3 to both sides

To solve $\frac{1}{3}p - 3 = 114$, add 3 to both sides: $\frac{1}{3}p - 3 + 3 = 114 + 3$.
Simplify: $\frac{1}{3}p = 117$.

Step2: Multiply by 3

Multiply both sides by 3: $3\times\frac{1}{3}p = 117\times 3$.
Simplify: $p = 351$.

Answer:

Equation: $\boldsymbol{\frac{1}{3}p - 3 = 114}$
Total pages: $\boldsymbol{351}$