John has read the first 114 pages of a novel. He has read 3 pages less than one-third the novel. write an equation to describe the total number of pages p in the novel, and find the value of p.
The equation:
\(\frac{1}{3}p-3=114\)
The solution:
\(\frac{1}{3}p-3=114 \ \ \ |+3 \\
\frac{1}{3}p=117 \ \ \ |\times 3 \\
p=351\)
The total number of pages is 351.
(114+3) 3 = P
John has read 114 pages 114
He has read 3 pages less than one-third the novel 114+3=1/3P
Multiply both sides by 3 gives you your answer (114+3)3=P