Jose has a comic book collection that he keeps amount 5 shelves with an equal number on each shelf he’s 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
Let's say the number of comic books on each shelf is x.
Since there are 5 shelves, the total number of comic books in the collection is 5x.
After his father adds 20 comic books, the number of comic books on the bottom shelf becomes (x+20).
The equation to represent the total number of comic books after his father adds 20 is: 5x = (x+20)*5 + 20.
Simplifying the equation, we get: 5x = 5x + 100 + 20.
Combining like terms, we have: 5x - 5x = 100 + 20.
This simplifies to: 0 = 120.
The equation is inconsistent, which means there is no solution for this problem.