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. it isnt 85,105, or 525
Let's assume that Jose has x comic books on each shelf before his father added 20 comic books to the bottom shelf.
Since each shelf has x comic books, the total number of comic books on the bottom shelf is x+20.
Before his father added the comic books, Jose had a total of 5*x comic books on all the shelves combined.
After his father added the comic books, the total number of comic books on all the shelves is 5*x + 20.
We know that the total number of comic books on the bottom shelf is 125.
So we can write the equation: x + 20 = 125.
Subtracting 20 from both sides of the equation, we get: x = 125 - 20 = 105.
Therefore, Jose has a total of 5*105 = <<5*105=525>>525 comic books in his collection.
Let's denote the number of comic books in each shelf as 'x'.
According to the information given, we know that there are 5 shelves with an equal number of comic books. So, the total number of comic books in these 5 shelves would be 5x.
His father adds 20 comic books to the bottom shelf, making the total number of comic books on that shelf 125. This can be represented as x + 20 = 125.
Now, we can solve the equation to find the value of x, which represents the number of comic books in each shelf.
Subtracting 20 from both sides of the equation gives us:
x + 20 - 20 = 125 - 20
x = 105
Therefore, each shelf contains 105 comic books.
To find the total number of comic books in his collection, we multiply the number of comic books per shelf (105) by the number of shelves (5):
Total = 105 * 5
Total = 525
Hence, there are a total of 525 comic books in Jose's collection.
To solve this problem, we need to set up an algebraic equation. Let's denote the number of comic books on each shelf (before the father added 20 books) as "x".
Since there are 5 shelves with an equal number of comic books on each shelf, the total number of comic books before the father added 20 books is 5x.
After the father adds 20 comic books to the bottom shelf, the total number of comic books on that specific shelf becomes x + 20.
We are given that the updated shelf now has 125 books, so we can set up the equation:
5x + (x + 20) = 125
Now, we solve for x:
5x + x + 20 = 125
Combining like terms, we have:
6x + 20 = 125
Subtracting 20 from both sides of the equation:
6x = 125 - 20
Simplifying:
6x = 105
Finally, dividing both sides by 6 gives:
x = 105 / 6 = 17.5
Since the number of comic books cannot be a decimal, we can conclude that there was an error in the information provided or in the options given. The problem cannot be solved with the given information.