Answer:
108 books.
Step-by-step 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;
[tex] b = m + 54[/tex] ......equation 1
[tex] m + b = 162[/tex] ......equation 2
Substituting equation "1" into equation "2" we have;
[tex] m + m + 54 = 162[/tex]
[tex] 2m + 54 = 162[/tex]
[tex] 2m = 162 - 54[/tex]
[tex] 2m = 108[/tex]
[tex] m = \frac {108}{2}[/tex]
m = 54
Now to find the number of books;
[tex] b = m + 54[/tex]
Substituting the value of "m" into the equation, we have;
[tex] b = 54 + 54[/tex]
b = 108
Therefore, the total number of books in the library is 108 books.
