A librarian fills 5 shelves with 100 books. How many shelves will the librarian fill if she has 700 books?

Answer 1

We can set up a proportion to solve this problem. Let x represent the number of shelves the librarian will fill if she has 700 books.

Since the number of shelves is directly proportional to the number of books, we can write the proportion:

5 shelves / 100 books = x shelves / 700 books

To solve for x, we can cross multiply:

100 * x = 5 * 700

Simplifying, we get:

100x = 3500

Next, we divide both sides of the equation by 100 to solve for x:

x = 3500 / 100

Simplifying further, we find:

x = 35

Therefore, the librarian will fill 35 shelves if she has 700 books.