Question

Mark has 312 books he has 11 times as many fiction books as nonfiction books how many fiction books does mark have?

Answer 1

Mark has 286 fiction books. We calculated this by dividing his total number of books (312) by 12 (since he has 11 times as many fiction books as nonfiction) to find the number of nonfiction books (26), and then multiplying by 11 to find the number of fiction books.

Step-by-step explanation:

To find the number of fiction books Mark has, we need to use the information that he has 11 times as many fiction books as nonfiction books. If we let the number of nonfiction books be x, then the number of fiction books would be 11x. Together, the total number of books Mark has is the sum of his fiction and nonfiction books, which is given as 312. Therefore, the equation we need to solve is:

x (nonfiction books) + 11x (fiction books) = 312 books

Combining like terms, we get:

12x = 312

To find the value of x, we divide both sides of the equation by 12:

x = 312 / 12

x = 26

Therefore, Mark has 26 nonfiction books. To find the number of fiction books he has, we multiply the number of nonfiction books by 11:

11 * 26 = 286 fiction books

Answer 2

There are 312 books in total.
Let 'x' represent the number of FICTION books.
There are 11x NONFICTION books and 1x FICTION books.
1x+11x=312
12x=312

Now divide 12x by 12 and 312 by 12 (whatever you do to one side of the equals sign you have to do to the other)

Once you do that you will get 1x=26
This means you have 26 fiction books. Now, you have 11 times as many nonfiction books so 26x11=286
This means you have 286 nonfiction books

To check your answer add 286 and 26 to make sure it adds to 312.