Jose has a comic book collection that 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? Use algebra to solve the equation.(1 point).....

Answer 1

Let \( x \) be the number of comic books on each shelf initially. Since there are 5 shelves, the total number of comic books can be expressed as:

\[ 5x \]

When Jose's father adds 20 comic books to the bottom shelf, the number of books on that shelf becomes:

\[ x + 20 \]

According to the problem, this shelf now has 125 books. Therefore, we can set up the equation:

\[ x + 20 = 125 \]

To find \( x \), we solve the equation:

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

Now that we know there are 105 comic books on each shelf, we can find the total number of comic books in Jose's collection:

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

Thus, the total number of books in his collection is:

\[ \boxed{525} \]