Jose has a comic book copy hat he keeps among 5 shelves with an equal number on each shelf his father adds 20 comic books to the bottom shelf so the shelf now has 125 books how many total books are in his collection yes algebra to solve the equation

Answer 1

Let's denote the number of comic books on each shelf before his father adds the 20 comic books as \( x \).

Since there are 5 shelves, the total number of comic books initially is:

\[ 5x \]

His father adds 20 comic books to the bottom shelf, making the number of books on that shelf \( x + 20 \). According to the problem, after adding the 20 comic books, the bottom shelf now has 125 books:

\[ x + 20 = 125 \]

To find \( x \), we can solve this equation:

\[ x = 125 - 20 \] \[ x = 105 \]

Now that we know there are 105 comic books on each of the other four shelves and 125 on the bottom shelf, we can calculate the total number of comic books in the collection.

So, the total number of books is:

\[ 5x = 5 \times 105 = 525 \]

Thus, the total number of comic books in Jose’s collection is:

\[ \boxed{525} \]