Question

To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows?

The bookshelf is 12 inches too wide to fit between the windows.
The bookshelf will fit between the windows with no extra room remaining.
The bookshelf will fit between the windows with 1 inch remaining.
The bookshelf is 5 inches too wide to fit between the windows.

Answer 1

To determine the relationship between the width of the bookshelf and the distance between the windows, we first need to convert the maximum allowable width (6 and one half feet) into inches.

1. **Convert feet to inches:**
- 1 foot = 12 inches
- Therefore, 6 and one half feet = 6.5 feet = 6.5 * 12 inches = 78 inches.

2. **Compare the width of the bookshelf to the maximum width:**
- The width of the bookshelf: 77 inches
- Maximum width (distance between the windows): 78 inches

Now, we find the difference:

\( 78 \text{ inches} - 77 \text{ inches} = 1 \text{ inch} \)

So, the bookshelf is 1 inch narrower than the maximum width allowed between the windows.

The correct statement is:

**The bookshelf will fit between the windows with 1 inch remaining.**