Question
Jose has a comic book collection that he keeps among 5 shelves wit an equal number on each shelves his father adds20 comics books to the bottom shelf so the shelf now has 125 books
Answers
GPT-4o mini
Let the number of comic books on each shelf originally be \( x \).
Since there are 5 shelves, the total number of comic books in the collection before the father added any is:
\[
5x
\]
According to the problem, after adding 20 comic books to the bottom shelf, this shelf now has 125 comic books. Therefore, we can set up the equation:
\[
x + 20 = 125
\]
Now, solve for \( x \):
\[
x = 125 - 20
\]
\[
x = 105
\]
This means originally, each shelf had 105 comic books. To find the total number of comic books in the collection before the addition, calculate:
\[
5x = 5 \times 105 = 525
\]
So, originally, Jose had 525 comic books. After the addition of 20 comic books to the bottom shelf, the total number of comic books in his collection becomes:
\[
525 + 20 = 545
\]
In summary:
- Originally, each shelf had 105 comic books.
- The total collection was originally 525 comic books.
- After the father added 20 comics, the total is now 545 comic books.
Since there are 5 shelves, the total number of comic books in the collection before the father added any is:
\[
5x
\]
According to the problem, after adding 20 comic books to the bottom shelf, this shelf now has 125 comic books. Therefore, we can set up the equation:
\[
x + 20 = 125
\]
Now, solve for \( x \):
\[
x = 125 - 20
\]
\[
x = 105
\]
This means originally, each shelf had 105 comic books. To find the total number of comic books in the collection before the addition, calculate:
\[
5x = 5 \times 105 = 525
\]
So, originally, Jose had 525 comic books. After the addition of 20 comic books to the bottom shelf, the total number of comic books in his collection becomes:
\[
525 + 20 = 545
\]
In summary:
- Originally, each shelf had 105 comic books.
- The total collection was originally 525 comic books.
- After the father added 20 comics, the total is now 545 comic books.