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16 Sep 2014, 01:23
Kudos
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In a certain book collection, there are 30 hardcover books containing more than 100 pages. If 15 percent of the books with more than 100 pages are hardcovers, how many books have more than 100 pages but are not in hardcover?
A. 60
B. 90
C. 170
D. 180
E. 200
A. 60
B. 90
C. 170
D. 180
E. 200
16 Sep 2014, 01:23
Kudos
Bookmarks
Official Solution:
In a certain book collection, there are 30 hardcover books containing more than 100 pages. If 15 percent of the books with more than 100 pages are hardcovers, how many books have more than 100 pages but are not in hardcover?
A. 60
B. 90
C. 170
D. 180
E. 200
We are given that there are 30 thick hardcover books, which represent 15 percent of all thick books. Therefore, 0.15 * {Thick Books} = 30, which gives us the total number of thick books as \(\frac{30}{0.15} = 200\). Given that, of these 200 books, 30 are in hardcover, there are 200 - 30 thick books that are not in hardcover.
Answer: C
In a certain book collection, there are 30 hardcover books containing more than 100 pages. If 15 percent of the books with more than 100 pages are hardcovers, how many books have more than 100 pages but are not in hardcover?
A. 60
B. 90
C. 170
D. 180
E. 200
We are given that there are 30 thick hardcover books, which represent 15 percent of all thick books. Therefore, 0.15 * {Thick Books} = 30, which gives us the total number of thick books as \(\frac{30}{0.15} = 200\). Given that, of these 200 books, 30 are in hardcover, there are 200 - 30 thick books that are not in hardcover.
Answer: C
21 Oct 2023, 10:08
Kudos
Bookmarks
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
