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Answer :
Sure, let's solve this step-by-step:
a. Calculating How Many Books Fit on the Bookshelf:
- The bookshelf is 42 inches long.
- Each book is [tex]\(1 \frac{1}{2}\)[/tex] inches long. In decimal form, this is 1.5 inches.
- To find out how many books can fit on the bookshelf, divide the length of the bookshelf by the length of one book:
[tex]\[
\text{Number of books per shelf} = \frac{42}{1.5} = 28
\][/tex]
- Therefore, 28 books of length [tex]\(1 \frac{1}{2}\)[/tex] inches will fit on the bookshelf.
b. Calculating Total Feet of Shelf Space for a Bookcase with 5 Shelves:
- Each bookshelf is 42 inches long.
- In a bookcase with 5 shelves, the total length in inches is:
[tex]\[
42 \times 5 = 210 \text{ inches}
\][/tex]
- To convert inches to feet, note that 1 foot = 12 inches:
[tex]\[
\text{Total shelf space in feet} = \frac{210}{12} = 17.5 \text{ feet}
\][/tex]
- So, a bookcase with 5 such shelves has 17.5 feet of shelf space.
In summary:
- 28 books will fit on each 42-inch bookshelf.
- A bookcase with 5 shelves will have a total of 17.5 feet of shelf space.
a. Calculating How Many Books Fit on the Bookshelf:
- The bookshelf is 42 inches long.
- Each book is [tex]\(1 \frac{1}{2}\)[/tex] inches long. In decimal form, this is 1.5 inches.
- To find out how many books can fit on the bookshelf, divide the length of the bookshelf by the length of one book:
[tex]\[
\text{Number of books per shelf} = \frac{42}{1.5} = 28
\][/tex]
- Therefore, 28 books of length [tex]\(1 \frac{1}{2}\)[/tex] inches will fit on the bookshelf.
b. Calculating Total Feet of Shelf Space for a Bookcase with 5 Shelves:
- Each bookshelf is 42 inches long.
- In a bookcase with 5 shelves, the total length in inches is:
[tex]\[
42 \times 5 = 210 \text{ inches}
\][/tex]
- To convert inches to feet, note that 1 foot = 12 inches:
[tex]\[
\text{Total shelf space in feet} = \frac{210}{12} = 17.5 \text{ feet}
\][/tex]
- So, a bookcase with 5 such shelves has 17.5 feet of shelf space.
In summary:
- 28 books will fit on each 42-inch bookshelf.
- A bookcase with 5 shelves will have a total of 17.5 feet of shelf space.
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