A bookshelf is 9 feet wide. A set of mystery books fills 1/6 of the shelf space. Each book in the set is 3/8 inch thick. How many books are in the set?
9 * (1/6) = 1.5
Book set takes up 1.5 inche
1.5 รท (3/8) = 4
4 books in the set
Very nice answer it helped me alot
To find out how many books are in the set, we need to determine the total amount of space taken up by the set of mystery books on the bookshelf.
First, let's find the total shelf space. We know that the bookshelf is 9 feet wide. Since we are working with inches, we need to convert 9 feet to inches. There are 12 inches in a foot, so 9 feet is equal to 9 x 12 = 108 inches.
Next, we need to determine the amount of space the set of mystery books fills on the shelf. The set fills 1/6 of the shelf space. To find this amount, we multiply the total shelf space by 1/6.
Space filled by set = 1/6 x 108 inches = 18 inches
Now we know that the set of mystery books fills 18 inches of space on the bookshelf.
Each book in the set is 3/8 inch thick. To find out how many books are in the set, we need to divide the space filled by the set by the thickness of each book.
Number of books in the set = Space filled by set / Thickness of each book
= 18 inches / (3/8) inch
= 18 inches x (8/3)
= 48 books
Therefore, there are 48 books in the set.