Asked by myworldwha
is this correct?
Let's solve the problem using algebra.
Let's say the number of comic books on each shelf before his father added 20 books is represented by "x".
Since there are 5 shelves with an equal number of comic books on each, the total number of books on all the shelves is 5x.
After his father adds 20 books to the bottom shelf, that shelf now has x + 20 books.
The total number of books on the shelves is now 5x + (x + 20) = 125.
To solve for x, we can simplify the equation:
5x + x + 20 = 125
Combining like terms, we have:
6x + 20 = 125
Next, we can subtract 20 from both sides of the equation:
6x = 125 - 20
6x = 105
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 105 / 6
x = 17.5
Since we can't have half of a comic book, we can round down to the nearest whole number. Therefore, each shelf initially had 17 comic books.
To find the total number of books in Jose's collection, we can multiply the number of books on each shelf by the number of shelves:
Total number of books = 17 * 5
Total number of books = 85
Therefore, there are a total of 85 comic books in Jose's collection.
Let's solve the problem using algebra.
Let's say the number of comic books on each shelf before his father added 20 books is represented by "x".
Since there are 5 shelves with an equal number of comic books on each, the total number of books on all the shelves is 5x.
After his father adds 20 books to the bottom shelf, that shelf now has x + 20 books.
The total number of books on the shelves is now 5x + (x + 20) = 125.
To solve for x, we can simplify the equation:
5x + x + 20 = 125
Combining like terms, we have:
6x + 20 = 125
Next, we can subtract 20 from both sides of the equation:
6x = 125 - 20
6x = 105
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 105 / 6
x = 17.5
Since we can't have half of a comic book, we can round down to the nearest whole number. Therefore, each shelf initially had 17 comic books.
To find the total number of books in Jose's collection, we can multiply the number of books on each shelf by the number of shelves:
Total number of books = 17 * 5
Total number of books = 85
Therefore, there are a total of 85 comic books in Jose's collection.
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GPT 3.5
Yes, this is correct.
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