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)
105 and 120 will not work so plz get me the correct answer
Let's assume that the number of comic books on each shelf before his father added 20 books is x.
Since there are 5 shelves with an equal number of comic books, the total number of books on those shelves is 5x.
After his father added 20 books, the number of books on the bottom shelf is x + 20.
The total number of books in the collection is now (5x - x) + 20 = 125.
Combining like terms, we get 4x + 20 = 125.
Subtracting 20 from both sides, we get 4x = 105.
Dividing both sides by 4, we get x = 26.25.
Since x represents the number of books on each shelf, which should be a whole number, this solution is not valid.
There is no whole number solution to this equation, so it seems there may be an error in the problem statement or the solution options.
Let's assume that the original number of comic books on each shelf is x.
Since Jose has 5 shelves with an equal number of comic books on each shelf, the total number of comic books before his father added 20 books would be 5x.
After Jose's father added 20 comic books to the bottom shelf, the total number of comic books on the bottom shelf is x+20.
We can now create an equation to solve for x.
5x + (x+20) = 125
Simplifying the equation:
6x + 20 = 125
Subtracting 20 from both sides of the equation:
6x = 105
Dividing both sides of the equation by 6:
x = 17.5
Since the original number of comic books on each shelf cannot be a decimal, we can conclude that there is an error in the problem information. The correct answer cannot be determined with the given information.
Let's use algebra to solve this problem step by step.
Let's assume that the number of comic books on each shelf is represented by the variable "x". Since there are 5 shelves with an equal number of books on each, Jose's initial collection can be represented as 5x.
After his father adds 20 comics to the bottom shelf, that shelf now has 125 books. This means that the number of books on the bottom shelf is now x + 20.
We can set up an equation to represent the total number of books in Jose's collection:
5x + (x + 20) = Total number of books
Simplifying this equation, we get:
6x + 20 = Total number of books
To solve for the total number of books, we need to find the value of x. Rearranging the equation, we have:
6x = Total number of books - 20
Now let's substitute the value of the books on the bottom shelf, which is 125:
6x = 125 - 20
Simplifying further:
6x = 105
Dividing both sides of the equation by 6:
x = 105/6
x ≈ 17.5
Since we cannot have a fraction of a comic book, we'll need to round down to the nearest whole number. So x = 17.
Now, let's find the total number of books:
Total number of books = 5x + (x + 20)
= 5(17) + (17 + 20)
= 85 + 37
= 122
Therefore, the correct answer is 122.