Question

To fit between two windows, the width of a bookshelf must be no greater than 6.5 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

Answer:

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

Step-by-step explanation:

Let w represents the width of the bookshelf,

According to the question,

The width of a bookshelf must be no greater than 6.5 feet for being fit between the windows.

⇒ w ≤ 6.5 feet,

⇒ w ≤ 78 inches  ( 1 foot = 12 inches )

Given,

w = 77 inches

Since,

$77<78$

Thus, the book self will be fit between the window,

Also,

$78-77=1$

Hence, the bookshelf will fit between the windows with 1 inch remaining.

Answer 2

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

What is the difference between the two numbers?

The difference between the two numbers is the subtraction of one number from another.

As it is given that the gap between the two windows is 6.5 feet, which can be written as,

$\text{Distance between the windows} = 6.5\rm\ feet\times 12 = 78 inches$

While the width of the bookshelf is 77 inches.

If we find the difference between the distance between the windows and the width of the bookshelf then we will get,

$\rm Differemce = \text{Distance between the windows} - \text{width of the bookshelf }$

$\rm Differemce = 78 -77\ inches = 1\ inch$

Hence, The bookshelf will fit between the windows with 1-inch remaining.

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