Let's break this down:

1. We know that Elliot has a total of 26 books.
2. We also know that he has 12 more fiction books than nonfiction books.
3. We're letting x represent the number of fiction books.

From this information, we can create the following equation to represent the situation:

x (fiction books) + x - 12 (nonfiction books) = 26

This equation is saying that the total number of books (26) is equal to the number of fiction books (x) plus the number of nonfiction books (x - 12).

To solve for x, we first combine like terms on the left side of the equation:

2x - 12 = 26

Next, we add 12 to both sides of the equation to isolate the 2x term:

2x = 38

Finally, we divide both sides of the equation by 2 to solve for x:

x = 19

So, Elliot has 19 fiction books.

To find the number of nonfiction books, we subtract 12 from the number of fiction books (since we know Elliot has 12 more fiction books than nonfiction books):

19 - 12 = 7

So, Elliot has 7 nonfiction books.

Question

Let's break this down:

1. We know that Elliot has a total of 26 books.
2. We also know that he has 12 more fiction books than nonfiction books.
3. We're letting x represent the number of fiction books.

From this information, we can create the following equation to represent the situation:

x (fiction books) + x - 12 (nonfiction books) = 26

This equation is saying that the total number of books (26) is equal to the number of fiction books (x) plus the number of nonfiction books (x - 12).

To solve for x, we first combine like terms on the left side of the equation:

2x - 12 = 26

Next, we add 12 to both sides of the equation to isolate the 2x term:

2x = 38

Finally, we divide both sides of the equation by 2 to solve for x:

x = 19

So, Elliot has 19 fiction books.

To find the number of nonfiction books, we subtract 12 from the number of fiction books (since we know Elliot has 12 more fiction books than nonfiction books):

19 - 12 = 7

So, Elliot has 7 nonfiction books.

Knowee AI · Accepted Answer