Jose has a comic book collection that he keeps among five shelves with an equal number on each shelf, his father as 20 comic books to the bottom shelf so the shop now has 125 bucks how many total books are in his collection use algebra to solve this equation

Answer 1

Let's assume each shelf has x comic books. Since there are five shelves, the total number of comic books on the shelves is 5 * x = 5x.
Jose's father added 20 comic books to the bottom shelf, so now the bottom shelf has x + 20 books.
The total number of comic books in the shop is 5x + (x + 20).
We are told that the total number of comic books in the shop is 125. Therefore, we can set up the equation:
5x + (x + 20) = 125
Combining like terms, we get:
6x + 20 = 125
Subtracting 20 from both sides of the equation, we get:
6x = 125 - 20
Simplifying the right side of the equation, we have:
6x = 105
Dividing both sides of the equation by 6, we find:
x = 105/6
Simplifying the right side of the equation, we have:
x = 17.5
Since we cannot have a fraction of a comic book, we must round down to the nearest whole number. Therefore, each shelf has 17 comic books.
The total number of comic books in the collection is 5 shelves * 17 comic books/shelf = 85 books.