Question

There are 4 sections in a library, each section contains 3,892 books and magazines. There are twice more magazines then books. How many books are there?

Answer 1

To find the number of books, we can set up the equation 2x = y, where x is the number of books and y is the number of magazines. Combining like terms, we find that there are 5,192 books in the library.

Step-by-step explanation:

To find the number of books, we need to determine the number of magazines first. Since there are twice as many magazines as books, we can set up the equation 2x = y, where x is the number of books and y is the number of magazines. The equation states that the number of magazines is twice the number of books.

Since each section contains 3892 books and magazines, the total number of books and magazines in all four sections is 3892 * 4 = 15568. Now we can substitute this value into the equation: 2x + x = 15568.

Combining like terms, the equation becomes 3x = 15568. Dividing both sides by 3 gives us x = 5192. Therefore, there are 5,192 books in the library.

Answer 2

5189 books

Step-by-step explanation:

Let the number of magazines = x

Let the number of books = b

Number of sections = 4

number of books and magazines per session = 3,892

Total number of books and magazines = 3,982 × 4 = 15,568

Number of magazines = 2 × number of books (There are twice more magazines than books.)

∴ x = 2b

∴ ratio of magazines to books = 2:1 (magazines doubles the books)

Therefore, number of books is calculated as follows:

`(1)/(3) * (15568)/(1) \\\\(15568)/(3)\\\\5189\ books`