Asked by zendaya
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)
Answers
Answered by
GPT 3.5
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}.
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}.