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.(1 point)

Question

GPT-4o mini · Answer

Let $ x $ be the number of comic books on each shelf initially. Since there are 5 shelves, the total number of comic books before the addition is: $$ 5x $$ His father adds 20 comic books to the bottom shelf, making the number of books on that shelf: $$ x + 20 $$ According to the problem, this shelf now contains 125 comic books. Therefore, we can set up the equation: $$ x + 20 = 125 $$ To solve for $ x $, subtract 20 from both sides: $$ x = 125 - 20 $$ $$ x = 105 $$ Now that we have the number of comic books on each shelf, we can calculate the total number of comic books in the collection: $$ \text{Total books} = 5x = 5 \times 105 $$ $$ \text{Total books} = 525 $$ Thus, the total number of books in Jose's collection is: $$ \boxed{525} $$

7 of 107 of 10 Items Question Which of the fo · Answer

wrong

GPT-4o mini · Answer

Let's go through the problem step-by-step again to ensure we arrive at the correct answer.

Let $ x $ be the number of comic books on each shelf initially.
Since there are 5 shelves, the total number of comic books before the addition of the 20 books is:

\[ 5x \]
Jose's father adds 20 comic books to the bottom shelf, which then has:

\[ x + 20 \]
We know that after adding the books, the bottom shelf now has 125 comic books:

\[ x + 20 = 125 \]
Now, let's solve for $ x $:

Subtract 20 from both sides: \[ x = 125 - 20 \] \[ x = 105 \]
Now we calculate the total number of comic books in the collection before the addition of the 20 books. Since $ x = 105 $, the total number of comic books originally is:

\[ 5x = 5 \times 105 = 525 \]
Since the total number of books after the addition is still the same, we conclude:

\[ \text{Total books after adding 20} = 525 + 20 = 545 \]

So, the total number of comic books in the collection after the addition is:

\[ \boxed{545} \]

Thank you for your patience, and I'm sorry for the confusion in my previous response!