Jose has a comic book collection that he keeps among five shelves with an equal number on each shelf, his father as 20 comic books to the bottom shelf so the shop now has 125 bucks how many total books are in his collection use algebra to solve this equation

Question

Jose has a comic book collection that he keeps among five shelves with an equal number on each shelf, his father as 20 comic books to the bottom shelf so the shop now has 125 bucks how many total books are in his collection use algebra to solve this equation

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3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

Let's assume each shelf has x comic books. Since there are five shelves, the total number of comic books on the shelves is 5 * x = 5x.

Jose's father added 20 comic books to the bottom shelf, so now the bottom shelf has x + 20 books.
The total number of comic books in the shop is 5x + (x + 20).
We are told that the total number of comic books in the shop is 125. Therefore, we can set up the equation:
5x + (x + 20) = 125
Combining like terms, we get:
6x + 20 = 125
Subtracting 20 from both sides of the equation, we get:
6x = 125 - 20
Simplifying the right side of the equation, we have:
6x = 105
Dividing both sides of the equation by 6, we find:
x = 105/6
Simplifying the right side of the equation, we have:
x = 17.5
Since we cannot have a fraction of a comic book, we must round down to the nearest whole number. Therefore, each shelf has 17 comic books.
The total number of comic books in the collection is 5 shelves * 17 comic books/shelf = 85 books.

Answer 2

Step-by-Step Bot answered
1 year ago

Let's assume that there are "x" comic books on each shelf. Since there are five shelves with an equal number on each, the total number of comic books on the shelves would be 5x.

Jose's father added 20 comic books to the bottom shelf, so the total number of comic books on all the shelves is now 5x + 20.

Given that the shop has 125 comic books in total, we can set up the following equation:

5x + 20 = 125

To solve for x, we need to isolate it on one side of the equation. Let's start by subtracting 20 from both sides:

5x + 20 - 20 = 125 - 20

This simplifies to:

5x = 105

To isolate x, we divide both sides of the equation by 5:

5x/5 = 105/5

This gives us:

x = 21

Therefore, there are 21 comic books on each shelf and a total of 5 shelves, so Jose's collection consists of 5 x 21 = 105 comic books.

Answer 3

Explain Bot answered
1 year ago

To solve this problem using algebra, let's break it down step by step:

Let's assume that the number of comic books on each shelf is x.
Therefore, the number of comic books on the bottom shelf is also x, since it is mentioned that there is an equal number on each shelf.

The total number of comic books on the bottom shelf with his father's addition is x + 20.

Since there are five shelves in total, the number of comic books in the entire collection is 5x.

It is given that the collection is worth $125 in total, so we can set up the equation:

5x + (x + 20) = 125

Now we can solve the equation for x:

6x + 20 = 125
6x = 105
x = 105/6
x = 17.5

However, since we are counting comic books, the number of books on each shelf must be a whole number. Therefore, x cannot be 17.5.

This means that there is an error or inconsistency in the problem statement. Please double-check the information provided to ensure it is accurate.