Question

Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46% of his collection. How many books does he have in his collection? Restate and answer the question.

Answer 1

Nicholas has 250 books in his collection

Answer 2

Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.

Now we have to find what is total number of books in his collection.

Let number of books in Nicholas collection = x

then number of fantasy and science fiction books = 46% of x = 0.46x

We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:

0.46x=115

now we can solve this equation to find the answer.

$x=\frac{115}{0.46}$

x= 250

Hence final answer is:

Nicholas has 250 books in his collection.