One shelf at Cover-to-Cover Bookstore contains copies of several books on the best-seller list. 1/2 of the books on the shelf are copies of the Number 1 best- seller. Of the remainder, 1/4 are copies of the Number 3 book. The rest are copies of the Number 2 book. If there are 5 copies the Number 2 book, how many best sellers are on the shelf?
1/2 + (1/4 * 1/2) = 5/8
So, 3/8 x = 5
I suspect a typo.
To determine the number of best sellers on the shelf, we need to calculate the number of copies of each book. Let's go step by step:
Step 1: Calculate the number of copies of the Number 2 book.
It is stated that there are 5 copies of the Number 2 book.
Step 2: Calculate the number of copies of the Number 3 book.
It is mentioned that 1/4 of the remaining books (after removing the Number 1 book copies) are copies of the Number 3 book. Since the Number 2 book copies are not part of the remaining books, we can subtract the Number 2 book copies from the total number of books on the shelf.
Thus, the remaining books are (1 - 5) = 6.
Now, 1/4 of the remaining books (6) are copies of the Number 3 book, which means there are (1/4) * 6 = 1.5 copies. However, we cannot have half a copy of a book, so we can round this down to the nearest whole number, which gives us 1 copy of the Number 3 book.
Step 3: Calculate the number of copies of the Number 1 book.
It is mentioned that half of the books on the shelf are copies of the Number 1 best-seller. This implies that the number of copies of the Number 1 book is (1/2) * (total number of books on the shelf).
To calculate the total number of books on the shelf, we need to add up the copies of all three books: Number 1, Number 2, and Number 3.
Total number of books on the shelf = Number of copies of Number 1 book + Number of copies of Number 2 book + Number of copies of Number 3 book
= (1/2) * (total number of books on the shelf) + 5 + 1
Now let's solve for the total number of books on the shelf:
First, we will isolate the total number of books on the shelf:
(total number of books on the shelf) - (1/2) * (total number of books on the shelf) = 5 + 1
Simplifying:
(1 - 1/2) * (total number of books on the shelf) = 6
(1/2) * (total number of books on the shelf) = 6
(total number of books on the shelf) = 6 * (2/1)
(total number of books on the shelf) = 12
Therefore, there are 12 best sellers on the shelf in total.