John read the first 114 pages of a novel, which was 3 pages less than 31 of the novel. If p is the total number of pages in the novel, which of the following equations best describes the situation?Choose 1 answer:(A) 31p−3=114(B) 31p+3=114(C) 3p−3=114(D) 3p+3=114
Q. John read the first 114 pages of a novel, which was 3 pages less than 31 of the novel. If p is the total number of pages in the novel, which of the following equations best describes the situation?Choose 1 answer:(A) 31p−3=114(B) 31p+3=114(C) 3p−3=114(D) 3p+3=114
Define Total Pages: Let's denote the total number of pages in the novel as p. According to the problem, John read 114 pages, which is 3 pages less than one-third of the novel. This can be expressed as one-third of the total number of pages minus 3 equals 114 pages. Mathematically, this is written as (31)p−3=114.
Equation Setup: To check if this equation makes sense, we can try to solve for p. Adding 3 to both sides of the equation gives us (31)p=117. Multiplying both sides by 3 to isolate p gives us p=351. This means the total number of pages in the novel would be 351, and one-third of it would be 117, which is indeed 3 pages more than 114. This confirms that our equation is correct.
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