ose 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.
Let x be the number of books on each shelf.
The number of books on the bottom shelf is x+20, because Ose's father added 20 comic books.
125 = 5x + (x + 20)
125 = 6x + 20
6x = 125 - 20
6x = <<105=105>>105
x = <<21=21>>21
There are 21 books on each shelf.
The total number of books in Ose's collection is 21*5=<<21*5=105>>105. Answer: \boxed{105}.
Let's represent the unknown number of comic books on each shelf as "x".
Since there are 5 shelves with an equal number of comic books on each shelf, the total number of comic books on those shelves is 5x.
When 20 comic books are added to the bottom shelf, the total number of comic books on that shelf becomes (x + 20).
We are given that the total number of comic books on the bottom shelf is now 125.
So, we can set up the equation: (x + 20) = 125.
To solve this equation, we can subtract 20 from both sides:
x = 125 - 20
x = 105
Now that we know the value of x, which represents the number of comic books on each shelf, we can calculate the total number of comic books in the collection by multiplying the number of comic books on each shelf (x) by the number of shelves (5):
Total number of comic books = x * 5
Total number of comic books = 105 * 5
Total number of comic books = 525
Therefore, the total number of books in his collection is 525.
To solve this problem using algebra, let's first assign variables to the unknown quantities.
Let's say the number of comic books on each shelf before his father added 20 books is represented by the variable 'x'.
According to the problem, he has 5 shelves with an equal number of comic books on each shelf. So, the number of comic books on the bottom shelf before his father added 20 books would be (x-1) since there are 5 shelves in total.
Now, his father adds 20 comic books to the bottom shelf, making it a total of (x-1)+20 = x+19 comic books on the bottom shelf.
The problem states that the bottom shelf now has 125 comic books. So, we can set up the following equation:
x + 19 = 125
Now we can solve for x. Subtracting 19 from both sides:
x = 125 - 19
x = 106
Therefore, before his father added 20 books, there were 106 books on each shelf.
To find the total number of comic books, we multiply the number of books on each shelf (106) by the number of shelves (5):
Total Number of Comic Books = Number of Books on Each Shelf * Number of Shelves = 106 * 5 = 530
So, the total number of comic books in his collection is 530.