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. The answer is not 85,105!!!!

Question

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. The answer is not 85,105!!!!

Answer 1

Let's call the number of comic books on each shelf n.

Since there are 5 shelves, the total number of comic books before his father added 20 was 5n.
After his father added 20, the number of comic books on the bottom shelf is n + 20.
We know that the total number of comic books after this addition is 125, so we can write the equation:
5n + n + 20 = 125
6n + 20 = 125
Subtracting 20 from both sides:
6n = 105
Dividing both sides by 6:
n = 105 / 6 = <<105/6=17.5>>17.5
This means there are 17.5 comic books on each shelf. Since we can't have half a comic book, the answer is not a whole number, so there appears to be an error in the question.

Answer 2

Let's start by setting up the equation based on the given information:

Let's assume that each shelf initially had x comic books on it.

So, the total number of comic books on the bottom shelf after his father adds 20 books to it is x + 20.

And since the number of comic books is equal on each shelf, the number of comic books on each shelf is x.

Given that the number of comic books on the bottom shelf is 125, we can write the equation as:

x + 20 = 125

To solve for x, we can subtract 20 from both sides of the equation:

x = 125 - 20
x = 105

Now we know that there are 105 comic books on each shelf.

Since there are 5 shelves in total, the total number of comic books in Jose's collection is:

Total = Number of comic books per shelf * Number of shelves
Total = 105 * 5
Total = 525

Therefore, the total number of comic books in Jose's collection is 525.

Answer 3

Let's solve this problem step by step using algebra.

Let's start by assigning a variable to represent the number of comic books on each shelf. Since each shelf has an equal number of comic books, let's say that number is x.

We know that Jose has 5 shelves, so the total number of comic books on all the shelves before his father adds 20 would be 5x.

Now, let's consider the information that his father adds 20 comic books to the bottom shelf, making it a total of 125 books. We can add this information to our equation:

5x + 20 = 125

To find the total number of books in Jose's collection, we need to solve this equation.

Step 1: Subtract 20 from both sides to isolate the term "5x".

5x = 125 - 20

Step 2: Simplify the right side of the equation.

5x = 105

Step 3: Divide both sides of the equation by 5 to solve for x.

x = 105/5

Simplifying further, we find that x = 21.

Now that we know the value of x, we can determine the total number of comic books in Jose's collection by multiplying x by the number of shelves:

Total number of comic books = x * number of shelves = 21 * 5 = 105

Therefore, the total number of comic books in Jose's collection is 105.