In the library at Lenape Elementary School, there are
2
5
as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?
Solve on paper.
Fiction books = 2 x (56 - 25) = 62 books
2
5
as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?
Solve on paper.
62
To solve this problem on paper, we can use algebraic equations. Let's denote the number of nonfiction books as "x".
According to the information given, there are 25 as many fiction books as nonfiction books. Therefore, the number of fiction books can be represented as 25x.
The total number of books in the library is 56, so we can write the equation:
x + 25x = 56
Combining like terms, we get:
26x = 56
To find the value of x, we need to isolate it. We can do this by dividing both sides of the equation by 26:
26x/26 = 56/26
Simplifying, we get:
x = 2.1538...
Since the number of books must be a whole number, we can round x to the nearest whole number, which is 2.
Therefore, there are 2 nonfiction books in the library.
Now, to find the number of fiction books, we can substitute the value of x back into our equation:
25x = 25 * 2
25x = 50
Therefore, there are 50 fiction books in the library.