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John read the first 114 pages of a novel, which was 3 pages less than [tex]\frac{1}{3}[/tex] of the novel. If [tex]p[/tex] is the total number of pages in the novel, which of the following equations best describes the situation?

Choose one answer:

A. [tex]114 = \frac{1}{3}p - 3[/tex]

B. [tex]114 = \frac{1}{3}p + 3[/tex]

C. [tex]114 = \frac{1}{3}p[/tex]

D. [tex]114 = p - 3[/tex]

Answer :

Let [tex]$p$[/tex] represent the total number of pages in the novel. According to the problem, John read 114 pages, and this number is 3 pages less than one third of the novel. This relationship can be written as:

[tex]$$114 = \frac{1}{3}p - 3.$$[/tex]

Step 1: Write the equation.

John's pages read equals one third of the whole novel minus 3, therefore:

[tex]$$114 = \frac{1}{3}p - 3.$$[/tex]

Step 2: Isolate the fraction.

Add 3 to both sides of the equation:

[tex]$$114 + 3 = \frac{1}{3}p,$$[/tex]
[tex]$$117 = \frac{1}{3}p.$$[/tex]

Step 3: Solve for [tex]$p$[/tex].

Multiply both sides by 3:

[tex]$$p = 117 \times 3,$$[/tex]
[tex]$$p = 351.$$[/tex]

Thus, the equation that best describes the situation is:

[tex]$$114 = \frac{1}{3}p - 3,$$[/tex]

and the total number of pages in the novel is [tex]$351$[/tex].

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