Let's break down the problem step by step to determine whether the bookshelf can fit between the two windows.
1. Convert the width of the bookshelf from inches to feet:
- The bookshelf Mrs. Aguilar purchases is 77 inches wide.
- There are 12 inches in a foot. So, we convert inches to feet by dividing the number of inches by 12.
- [tex]\( \frac{77 \text{ inches}}{12} \approx 6.42 \text{ feet} \)[/tex].
2. Determine the maximum width allowed:
- The maximum width allowed for the bookshelf to fit between the windows is [tex]\( 6 \frac{1}{2} \)[/tex] feet. This can be written as a mixed number: [tex]\( 6.5 \)[/tex] feet.
3. Compare the width of the bookshelf to the maximum width allowed:
- The calculated width of the bookshelf in feet is approximately 6.42 feet.
- The maximum width allowed is 6.5 feet.
4. Calculate the difference between the maximum width allowed and the width of the bookshelf:
- To find how much space will be left or how much the bookshelf exceeds, subtract the width of the bookshelf from the maximum width allowed:
- [tex]\( 6.5 \text{ feet} - 6.42 \text{ feet} = 0.08 \text{ feet} \)[/tex].
5. Convert the difference into inches:
- Since there are 12 inches in a foot, convert the difference back to inches:
- [tex]\( 0.08 \text{ feet} \times 12 \text{ inches/foot} = 0.96 \text{ inches} \)[/tex].
- Approximately, this difference is around 1 inch.
6. Draw the conclusion:
- The bookshelf will fit between the windows with some extra space left.
- In terms of inches, the extra space remaining is approximately 1 inch.
Therefore, the correct statement is: The bookshelf will fit between the windows with 1 inch remaining.
