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.
wrong the correct answer is 545
nvm he said 525 not 545
ExplainBot said that
To solve this question using algebra, let's denote the number of comic books initially on each shelf as "x".
Since Jose has 5 shelves with an equal number of books on each shelf, the total number of books in the collection before his father adds any is 5x.
After his father adds 20 comic books to the bottom shelf, the number of books on that shelf is now x + 20.
The number of books on the bottom shelf is now 125. So we can set up the equation:
x + 20 = 125
To find the total number of books in Jose's collection, we need to add up the books on all the shelves. Since all shelves have an equal number of books, we can multiply the number of shelves by the number of books on each shelf:
Total number of books = 5x
To solve the equation x + 20 = 125, we need to isolate x. By subtracting 20 from both sides of the equation, we get:
x = 125 - 20
Simplifying, we find x = 105.
To find the total number of books in Jose's collection, we can substitute the value of x back into the equation 5x:
Total number of books = 5 * 105
Calculating this, we find that the total number of books in Jose's collection is 525.
Let's call the number of comic books on each shelf x.
So, there are x comic books per shelf, and since there are 5 shelves, the total number of comic books before his father adds 20 is 5x.
After his father adds 20 comic books to the bottom shelf, this shelf now has x + 20 comic books.
The total number of comic books is then 5x + (x + 20) = 125.
Combining like terms, we get 6x + 20 = 125.
Subtracting 20 from both sides, we get 6x = 105.
Dividing both sides by 6, we get x = <<17=17>>17.
So, the total number of comic books in his collection is 5x, or 5 * 17 = <<5*17=85>>85. Answer: \boxed{85}.
Let's start by setting up the equation. Let's say that the number of comic books on each shelf is represented by the variable "x". We know that the bottom shelf has 20 more books than the other shelves. So the number of books on the bottom shelf would be x+20.
We also know that there are 5 shelves in total. Since each shelf has an equal number of books, the equation becomes:
x + x + x + x + (x+20) = 125
Simplifying the equation, we get:
5x + 20 = 125
Now, let's solve for x.
Subtract 20 from both sides of the equation:
5x + 20 - 20 = 125 - 20
5x = 105
Divide both sides of the equation by 5:
5x/5 = 105/5
x = 21
So, there are 21 books on each shelf in Jose's collection.
To find the total number of books in his collection, we multiply the number of books on each shelf (21) by the number of shelves (5):
Total number of books = 21 x 5 = 105
Therefore, the total number of books in Jose's collection is 105.