There are approximately 745 pages in main story
Solution:
Let "x" be the number of pages in main story
Let "y" be the number of pages in prologue
Given that there are 750 pages in all
Therefore,
number of pages in main story + number of pages in prologue = 750
x + y = 750 ---------- eqn 1
The main story has 150 times as many pages as the prologue
Therefore, a equation is framed as:
number of pages in main story = 150(number of pages in prologue)
x = 150y ----------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
150y + y = 750
151y = 750
y = 4.967
Substitute y = 4.967 in eqn 2
x = 150(4.967)
x = 745.05
Thus there are approximately 745 pages in main story