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. (1 point)
Let's assign a variable to represent the number of comic books on each shelf before the father added 20 books. Let's call this variable "x".
We know that there are 5 shelves with an equal number of books on each shelf, so the total number of books on the shelves before the father added any is 5x.
After the father added 20 books to the bottom shelf, that shelf now has x + 20 books.
We are told that this shelf now has a total of 125 books, so we can write the equation: x + 20 = 125.
To solve this equation for x, we can subtract 20 from both sides: x = 125 - 20.
Simplifying, we find that x = 105.
Since x represents the number of books on each shelf before the father added any, and there are 5 shelves, the total number of comic books is 5x = 5 * 105 = 525.
Therefore, the total number of books in his collection is 525.
To solve this problem, we can use algebra. Let's denote the number of comic books initially on each shelf as 'x'. Since there are 5 shelves, the total number of comic books in Jose's collection can be represented as follows:
Total number of books = Number of books on each shelf × Number of shelves
Initially, each shelf had 'x' comic books, so the number of comic books on each shelf is 'x'. With 5 shelves, the number of shelves is 5.
Thus, the equation becomes:
Total number of books = x × 5
Now, when Jose's father adds 20 comic books to the bottom shelf, the total number of comic books on that shelf becomes 'x + 20'. Therefore, we can rewrite the equation as:
Total number of books = (x + 20) × 5
We are given that the number of books on the bottom shelf after the addition is now 125. So, we can set up another equation using this information:
x + 20 = 125
To find the total number of comic books in his collection, we need to solve this system of equations:
Total number of books = (x + 20) × 5 = x × 5
Simplifying the equation, we get:
5x + 100 = 5x
Here, we notice that 5x cancels out on both sides, leaving us with:
100 = 0
This equation is not possible to solve since it is illogical. Therefore, there seems to be an error or inconsistency in the given information or problem setup.
To conclude, it is not possible to determine the total number of comic books in Jose's collection using the given information and the provided equation.
Let x be the number of comic books on each shelf.
There are 5 * x = 5x comic books on five shelves.
The total number of comic books in the collection is 5x + 20 = 125 comic books.
We need to move -20 to the left side of the equation to make the equation simpler.
5x = 125 - 20
Combine like terms.
5x = 105
We need to divide both sides of the equation by 5 to isolate x.
5x/5 = 105/5
x = <<21=21>>21
There are 21 comic books on each shelf.
There are 5 * 21 = <<5*21=105>>105 books in the collection. Answer: \boxed{105}.