Question

Araceli gave away 6 boxes of comic books. Each box had c comic books. After taking 8 comic books from each box, she had 12 comic books left.
Choose the tape diagram that represents the situation.

12
6
c
c
c
c
c

12
c−8
6
6
6
6
6

12
c−8
c−8
c−8
c−8
c−8
c−8

Answer 1

To represent the situation described, we can break it down step by step:

1. **Araceli started with 6 boxes of comic books, each containing \(c\) comic books.** Therefore, the total number of comic books at the beginning is \(6c\).

2. **She took 8 comic books from each box.** If each box originally had \(c\) comic books, after taking 8 from each box, each box would have \(c - 8\) comic books left.

3. **After taking 8 comic books from each box, she had 12 comic books left.** This means that the total number of comic books remaining after she took some from each box is 12.

Given these points, we need a tape diagram that accurately represents:
- The total number of comic books she originally had (\(6c\)),
- The comic books left in each box after taking 8 out (\(c - 8\)),
- The total of 12 comic books left overall.

Now, let's analyze the options:

1. **Option 1**:
- 12
- 6
- c
- c
- c
- c
- c

This option does not represent the situation accurately as it does not show how many comic books were taken away.

2. **Option 2**:
- 12
- \(c - 8\)
- 6
- 6
- 6
- 6
- 6

This is misleading as it implies that there are 6 remaining comic books aside from the total of 12, which doesn’t fit the narrative given that no boxes are shown here.

3. **Option 3**:
- 12
- \(c - 8\)
- \(c - 8\)
- \(c - 8\)
- \(c - 8\)
- \(c - 8\)
- \(c - 8\)

This option represents the total of 12 comic books that were left after taking 8 comic books from each box, indicated by \(c - 8\) for each of the 6 boxes.

Given this breakdown, **Option 3** is the most representative of the situation described in the problem, as it shows the total comic books left (12) and the remaining quantities in each box after removing 8 comic books from each.