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Among the N books in Estelle's library, 40 are fiction and the rest
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29 Jan 2024, 07:45
29 Jan 2024, 07:45
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Among the N books in Estelle's library, 40 are fiction and the rest are nonfiction. Fifty of the N books are hardcovers and the rest are paperbacks. If 30 of the N books are hardcover fiction books, what is the least possible value of N?
A. 50
B. 60
C. 70
D. 80
E. 90
2024-01-29_18-36-14.png [ 39.08 KiB | Viewed 2226 times ]
A. 50
B. 60
C. 70
D. 80
E. 90
Attachment:
2024-01-29_18-36-14.png [ 39.08 KiB | Viewed 2226 times ]
Re: Among the N books in Estelle's library, 40 are fiction and the rest
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29 Jan 2024, 07:48
29 Jan 2024, 07:48
3
Kudos
Expert Reply
guddo wrote:
Among the N books in Estelle's library, 40 are fiction and the rest are nonfiction. Fifty of the N books are hardcovers and the rest are paperbacks. If 30 of the N books are hardcover fiction books, what is the least possible value of N?
A. 50
B. 60
C. 70
D. 80
E. 90
A. 50
B. 60
C. 70
D. 80
E. 90
Attachment:
2024-01-29_18-36-14.png
- {Total} = {Fiction} + {Hardcover} - {Both} + {Neither}
N = 40 + 50 - 30 + {Neither}
N = 60 + {Neither}
The least possible value of N is when {Neither}, the number of books which are paperback nonfiction books, is 0. Hence, the least value of N is 60.
Answer: B.
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Re: Among the N books in Estelle's library, 40 are fiction and the rest
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30 Jan 2024, 00:11
30 Jan 2024, 00:11
2
Kudos
guddo wrote:
Among the N books in Estelle's library, 40 are fiction and the rest are nonfiction. Fifty of the N books are hardcovers and the rest are paperbacks. If 30 of the N books are hardcover fiction books, what is the least possible value of N?
A. 50
B. 60
C. 70
D. 80
E. 90
A. 50
B. 60
C. 70
D. 80
E. 90
Attachment:
The attachment 2024-01-29_18-36-14.png is no longer available
The information from the question can be plotted into a 2*2 matrix as shown below. As N represents the number of books
\(N-60 \geq 0\)
\(N \geq 60\)
Least possible value of N = 60
Option B
Attachments
Screenshot 2024-01-30 123935.png [ 67.51 KiB | Viewed 2434 times ]
