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)
The correct answer is 545, try it!
Correct answer is 545
Let the total number of comic books on each shelf be x.
Since there are 5 shelves with an equal number on each shelf, the total number of comic books on all shelves is 5x.
After Jose's father adds 20 comic books to the bottom shelf, the number of books on the bottom shelf increases to x + 20.
So the number of comic books on all shelves becomes 5x + x + 20 = 125.
Combining like terms, we get 6x + 20 = 125.
Subtracting 20 from both sides, we get 6x = 125 - 20 = 105.
Dividing both sides by 6, we get x = 105/6 = 17.5.
Since the total number of comic books on all shelves should be an integer, x must be an integer.
Therefore, the total number of comic books on all shelves is 5x = 5 * 17.5 = <<5*17.5=87.5>>87.5. Answer: \boxed{87.5}.
Let's represent the number of comic books on each shelf as "x".
Since there are 5 shelves, the total number of comic books before his father added 20 would be 5x.
After his father added 20 books to the bottom shelf, the total number of books on the bottom shelf became "x + 20".
Thus, the updated total number of books on all shelves would be (5x - x) + (x + 20) = 125.
Simplifying this equation, we have 5x - x + x + 20 = 125.
Combining like terms, we get 5x + 20 = 125.
Next, subtracting 20 from both sides gives 5x = 105.
Finally, dividing both sides by 5 yields x = 21.
Therefore, there were initially 5 shelves with 21 books on each shelf, resulting in a total of 5x21 = 105 comic books in Jose's collection.
To solve this problem using algebra, let's denote the number of comic books on each shelf as 'x'. Since there are 5 equal shelves, the total number of comic books on the shelves before his father adds 20 books is 5x.
According to the problem, when Jose's father adds 20 books to the bottom shelf, the total number of books on that shelf becomes 125. So we can set up the equation:
5x + 20 = 125
Now we can solve for x. First, we can subtract 20 from both sides of the equation:
5x = 125 - 20
5x = 105
Then, we divide both sides of the equation by 5 to isolate x:
x = 105 / 5
x = 21
So, there are 21 comic books on each shelf.
To find the total number of books in Jose's collection, we simply multiply the number of books on each shelf by the number of shelves:
Total number of books = x * number of shelves
Total number of books = 21 * 5
Total number of books = 105
Therefore, Jose has a total of 105 comic books in his collection.