Josie has come up with collection that he keeps among 5 shells for an equal number on each cell.His father has 20 comment books to the bottom shelf.So the shelf now has a 125 books.How many total books are in the collection use algebra

1 answer

To solve the problem, we can set up an equation. Let's denote the number of comment books Josie has as \( x \).

According to the information given:

  • Josie's father's comment books: 20
  • The total number of books on the shelf after adding Josie's collection: 125

The equation can be set up as follows:

\[ x + 20 = 125 \]

Now, isolating \( x \) (the number of books in Josie's collection):

\[ x = 125 - 20 \] \[ x = 105 \]

So, according to the information provided, Josie has a total of 105 books in his collection.

Now, you mentioned something about "5 shells" and "an equal number on each shelf." However, you've already provided the total after adding the comment books, which allows us to calculate Josie's collection. If needed, we can redistribute this total among the shells, but based on the total number of books, Josie owns 105 books regardless. If you want to discuss the distribution of those books among the shells, let's denote the number of books on each shell as \( y \):

Since there are 5 shells and an equal number of books in each, we can set up another equation:

\[ 5y = 105 \]

From which we can find \( y \):

\[ y = \frac{105}{5} = 21 \]

Thus, if Josie's collection is divided equally among the 5 shells, there would be 21 books on each shell.