Question

A novel has 13 times as many pages as a short story. The combined number of pages is 308. How many pages are in each book

Answer 1

There are 22 pages in the short story and 286 pages in the novel.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.

Let x be the number of pages in the short story and y be the number of pages in the novel.

We are given two pieces of information:

1. The novel has 13 times as many pages as the short story, so we can write the equation: y = 13x
2. The combined number of pages is 308, so we can write the equation: x + y = 308

We can solve this system of equations by substituting the value of y from the first equation into the second equation:

x + 13x = 308

14x = 308

x = 22

Substituting this value of x back into the first equation, we can find the value of y:

y = 13(22) = 286

Therefore, there are 22 pages in the short story and 286 pages in the novel.