Mark has 312 books in his bookcases. He has 11 times as many fiction books as nonfiction books. How many fiction books does Mark have. My answer is Mark have 308 fiction books and 4 nonfiction books.

Nope.

312 / 26 = 12 >> not 186

26 + 186 is NOT 312.

Why did you divide?

oops sorry the answer is 26 * 11 = 286 fiction books.

Yay! You're right!

Thanks Ms. Sue for your help.

You're welcome, Ezekiel.

26

To find the number of fiction books Mark has, we need to use the given information that he has 11 times as many fiction books as nonfiction books.

Let's assume the number of nonfiction books is x. According to the problem, Mark has 11 times as many fiction books as nonfiction books. So, the number of fiction books can be represented as 11x.

We also know the total number of books Mark has is 312. This means the sum of fiction and nonfiction books should equal 312:

x + 11x = 312

Combining like terms:

12x = 312

To isolate 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, we multiply the number of nonfiction books (26) by 11:

11 * 26 = 286

So, Mark has 286 fiction books.

Thus, the correct answer is that Mark has 286 fiction books and 26 nonfiction books, not 308 fiction books and 4 nonfiction books.

Let's check your answer.

If he has 4 nonfiction books -- then we multiply 4 * 11 = 44 fiction. Oops! That doesn't work, does it?

How about this way? Let n = nonfiction

n + 11n = 312

12n = 312

n = 26 nonfiction

Does this answer check out?

Ok the answer is 312 divide by 26 = 186 fiction books.