Question

There are 162 magazines and books in a library. There are 54 more books

than magazines. What is the total number of books in the library?

Answer 1

108 books.

Explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

`b = m + 54` ......equation 1

`m + b = 162` ......equation 2

Substituting equation "1" into equation "2" we have;

`m + m + 54 = 162`

`2m + 54 = 162`

`2m = 162 - 54`

`2m = 108`

`m = \frac {108}{2}`

m = 54

Now to find the number of books;

`b = m + 54`

Substituting the value of "m" into the equation, we have;

`b = 54 + 54`

b = 108

Therefore, the total number of books in the library is 108 books.