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. The answer is not 85!!!
Let's say each shelf initially had x comic books.
After 20 comic books were added to the bottom shelf, it had x + 20 books.
Since each shelf originally had an equal number of books, and there are 5 shelves, the total number of books is 5x.
If we add 20 to the bottom shelf, the total number of books is 5x + 20.
We are told that the bottom shelf now has 125 books, so we can write the equation:
5x + 20 = 125
Subtracting 20 from both sides, we get:
5x = 105
Dividing both sides by 5, we get:
x = 21
So each shelf initially had 21 comic books, and the total number of books in Jose's collection is 5x, or 5*21 = <<5*21=105>>105. Answer: \boxed{105}.
To solve this problem, let's create an algebraic equation.
Let's assume the number of comic books on each shelf before his father added 20 books is 'x'. Since all shelves have an equal number of books, we can represent the total number of books in Jose's collection as:
Total number of books = (Number of shelves) × (Number of books on each shelf)
The number of shelves is 5, and the number of books on each shelf before his father added 20 books is 'x'. So, we can write the equation as:
5x + 20 = 125
Now, let's solve this equation to find the value of 'x', which will give us the total number of books in Jose's collection.
Subtract 20 from both sides of the equation:
5x = 125 - 20
5x = 105
Divide both sides of the equation by 5 to isolate 'x':
x = 105 / 5
x = 21
Therefore, the initial number of books on each shelf before his father added 20 books is 21.
Now, to find the total number of books in Jose's collection, we multiply the number of shelves (5) by the number of books on each shelf (21):
Total number of books = 5 × 21
Total number of books = 105
So, the total number of books in Jose's collection is 105 books, not 85.
Let's assume that the number of comic books initially on each shelf is x. Since there are 5 shelves with an equal number of comic books, the total number of comic books in the collection before his father added the extra books would be 5x.
After his father added 20 comic books to the bottom shelf, the number of comic books on the bottom shelf became x + 20.
According to the given information, the total number of comic books on the bottom shelf after his father added them is 125. So we can write the equation:
x + 20 = 125
Now, we can solve for x by subtracting 20 from both sides of the equation:
x = 125 - 20
x = 105
Since the number of comic books initially on each shelf is now 105, the total number of comic books in the collection is equal to the number of comic books on each shelf multiplied by the number of shelves:
Total number of comic books = x * number of shelves
Total number of comic books = 105 * 5
Total number of comic books = 525
Therefore, Jose has a total of 525 comic books in his collection.