Jose has a comic book collection that he keeps among 5 shelves with an equal number on each self. His father adds 20 comic books to the bottom shelf, so the self now has 125 books. How many total are in his collection m? Use algebra to solve the equation
Let's say that the number of comic books that Jose had on each shelf before his father added the 20 comic books is x.
Since there are 5 shelves with an equal number of comic books on each shelf, then the total number of comic books in the 5 shelves is 5*x = 5x.
After his father added 20 comic books to the bottom shelf, the total number of comic books on the bottom shelf became x + 20.
The total number of comic books in the 5 shelves now is x + (x + 20) + 5x = 7x + 20.
Since this total number of books is 125, we can write the equation as 7x + 20 = 125.
By subtracting 20 from both sides, we get 7x = 105.
We then divide both sides by 7 to find x = 105/7 = <<105/7=15>>15.
Therefore, the total number of comic books in Jose's collection is 7x + 20 = 7*15 + 20 = 105 + 20 = <<7*15+20=125>>125 comic books. Answer: \boxed{125}.
Let's assume that initially, Jose had "x" comic books on each shelf.
So, the total number of comic books in his collection is 5x.
After his father adds 20 comic books to the bottom shelf, the number of comic books on the bottom shelf becomes x + 20.
Now, the total number of comic books on all the shelves is the sum of the comic books on each shelf:
x + x + x + x + (x + 20) = 125
Combining like terms,
5x + 20 = 125
Subtracting 20 from both sides,
5x = 125 - 20
5x = 105
Dividing both sides by 5,
x = 105 / 5
x = 21
So, initially, Jose had 21 comic books on each shelf, and the total number of comic books in his collection is 5x = 5 * 21 = 105. Therefore, the answer is that there are 105 comic books in his collection.
To find the total number of comic books in the collection, we can set up an algebraic equation based on the given information. Let's define the unknown value as "x," representing the number of comic books originally present on each shelf.
Since Jose has 5 shelves with an equal number of comic books on each shelf, initially, each shelf has x comic books. Therefore, the total number of comic books in the collection before his father adds any books is 5x.
After his father adds 20 comic books to the bottom shelf, that shelf now has x + 20 comic books. Given that the total number of books on that shelf is now 125, we can set up the equation:
x + 20 = 125
To find the value of x, we can solve this equation:
x = 125 - 20
x = 105
So, originally, each shelf had 105 comic books. Since Jose has 5 shelves, the total number of comic books in his collection can be calculated as follows:
Total = Number of shelves * Number of books per shelf
Total = 5 * 105
Total = 525
Therefore, the total number of comic books in Jose's collection is 525.