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 hus collection? Use algebra to solve the equation.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

Let's say the number of comic books on each shelf is x.

The total number of comic books in the shelves is 5*x.
When Jose's father adds 20 books, the number of books on the bottom shelf becomes x + 20.
So, the total number of books on all the shelves is x + (x + x + x + x + 20) = x + x + x + x + 20 = 5*x + 20.
We are given that 5*x + 20 = 125.
Subtracting 20 from both sides of the equation, we get 5*x = 125 - 20 = 105.
Dividing both sides by 5, we get x = 105/5 = <<105/5=21>>21.
The total number of books in Jose's collection is 5*x = 5*21 = <<5*21=105>>105 books. Answer: \boxed{105}.