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
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Let x be the number of comic books on each shelf.
There are 5 - 1 = <<5-1=4>>4 shelves besides the bottom shelf.
The bottom shelf initially has x comic books.
The bottom shelf now has x + 20 comic books.
There are 4x comic books on the other shelves.
Jose's comic book collection has 4x + x + 20 = 125 books.
Combining like terms, we get 5x + 20 = 125
Subtracting 20 from both sides, we get 5x = 105.
Dividing both sides by 5, we get x = 21.
Jose's collection has 4 * 21 + 21 = <<4*21+21=105>>105 + 21 = <<105+21=126>>126 books. Answer: \boxed{126}.
Let's assume that Jose has x comic books on each shelf.
Since he has 5 shelves with an equal number of books on each shelf, the total number of books on the shelves before his father adds more would be 5x.
After his father adds 20 comic books to the bottom shelf, the number of books on that shelf becomes x + 20.
Since the total number of books on the shelves is now 125, we can set up the equation:
5x + (x + 20) = 125
Simplifying the equation, we get:
6x + 20 = 125
Subtracting 20 from both sides of the equation:
6x = 105
Dividing both sides of the equation by 6:
x = 105/6
x = 17.5
Since we cannot have a fraction of a comic book, we can conclude that Jose has 17 comic books on each shelf.
To find the total number of books in his collection, we multiply the number of books on each shelf (17) by the number of shelves (5):
Total books = 17 * 5 = 85
Therefore, there are a total of 85 comic books in Jose's collection.
To solve this algebraically, let's first represent the number of comic books on each shelf as 'x'. Since there are 5 shelves and an equal number of comic books on each shelf, Jose's collection has 5x comic books in total.
After his father adds 20 comic books to the bottom shelf, we know that the total number of comic books on that shelf is now x + 20. This new total is given as 125 books.
Therefore, we can set up the equation:
5x = 125 - (x + 20)
Simplifying the equation, we have:
5x = 125 - x - 20
5x + x = 125 - 20
6x = 105
Now, let's solve for 'x' by dividing both sides of the equation by 6:
6x/6 = 105/6
x = 17.5
Since x represents the number of comic books on each shelf, and we can't have a fraction of a book, we need to round it down to the nearest whole number. Therefore, x = 17.
Now, to find the total number of comic books in Jose's collection, we can substitute the value of x back into the original equation:
Total Books = 5x
Total Books = 5 * 17
Total Books = 85
So, the total number of books in Jose's comic book collection is 85.