Question

Первая повесть занимает 3/20 книги, вторая повесть 11/20 книги. Известно, что первая повесть занимает на 40 страниц меньше, чем вторая. Сколько страниц в книге?

Answer 1

Problem Analysis

We are given that the first novel occupies 3/20 of the book, the second novel occupies 11/20 of the book, and the first novel is 40 pages shorter than the second novel. We need to determine the total number of pages in the book.

Solution

Let's assume the total number of pages in the book is x.

According to the given information: - The first novel occupies 3/20 of the book, which is equal to (3/20) * x pages. - The second novel occupies 11/20 of the book, which is equal to (11/20) * x pages. - The first novel is 40 pages shorter than the second novel.

From this information, we can set up the following equation:

(11/20) * x - (3/20) * x = 40

Simplifying the equation:

(8/20) * x = 40

Dividing both sides by 8/20:

x = 40 / (8/20) x = 40 * (20/8) x = 100

Therefore, the total number of pages in the book is 100.

Answer

The book has a total of 100 pages.