A librarian fills 5 shelves with 100 books. How many shelves will the librarian fill if she has 700 books?
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.
To solve this problem, we can set up a proportion to find the number of shelves needed. We know that 5 shelves are filled with 100 books, so we can set up the following proportion:
"5 shelves" is to "100 books" as "x shelves" is to "700 books"
This can be written as:
5/100 = x/700
To solve for x, we can cross multiply:
100x = 5 * 700
100x = 3500
Now, divide both sides by 100 to isolate x:
x = 3500/100
x = 35
Therefore, the librarian will fill 35 shelves if she has 700 books.
To find out how many shelves the librarian will fill with 700 books, we need to determine the ratio of books per shelf.
Given that 100 books fill 5 shelves, we can calculate the number of books per shelf by dividing the total number of books by the number of shelves.
Books per shelf = Total books / Number of shelves
Books per shelf = 100 books / 5 shelves
Books per shelf = 20 books per shelf
Now, we can use this ratio to determine the number of shelves required for 700 books.
Number of shelves = Total books / Books per shelf
Number of shelves = 700 books / 20 books per shelf
Number of shelves = 35 shelves
Therefore, the librarian will need to fill 35 shelves with 700 books.