john read the first 114 pages of a novel, which was 3 pages less than $\frac{1}{3}$ of the novel. write an…

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.

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.

Answer

Explanation:

Step1: Translate the problem into an equation

We know that 114 pages is 3 pages less than $\frac{1}{3}$ of the total number of pages $p$. So the equation is $\frac{1}{3}p- 3=114$.

Step2: Solve the equation for $p$

First, add 3 to both sides of the equation: $\frac{1}{3}p=114 + 3$. So $\frac{1}{3}p=117$. Then multiply both sides by 3 to isolate $p$, we get $p = 117\times3$.

Answer:

The equation is $\frac{1}{3}p-3 = 114$, and the total number of pages $p = 351$.