The author of a book was told that he would have to cut the number of pages by 6%6% for the book to sell at a popular price and still make a profit.Step 2 of 3 : If the finished book contained 322322 pages, how many pages were in the original form? Round your answer to the nearest integer.
Question
The author of a book was told that he would have to cut the number of pages by 6%6% for the book to sell at a popular price and still make a profit.Step 2 of 3 : If the finished book contained 322322 pages, how many pages were in the original form? Round your answer to the nearest integer.
Solution
To find the original number of pages, we need to understand that the finished book is 94% (100% - 6%) of the original book.
Let's denote the number of pages in the original book as X.
So, we can set up the equation as follows:
0.94X = 322
To solve for X, we divide both sides of the equation by 0.94:
X = 322 / 0.94
X ≈ 342.55
Since the number of pages in a book must be an integer, we round 342.55 to the nearest integer, which is 343.
So, the original book had approximately 343 pages.
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