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03 Oct 2024, 02:13
Kudos
Bookmarks
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
60% (01:49) correct
40% (01:56) wrong based on 5 sessions
History
Date
Time
Result
Not Attempted Yet
Each year, the members of a book club select novels and nonfiction books to discuss. The club meets 3 times to discuss each novel and 5 times to discuss each nonfiction book they select. The club met 52 times last year, and at each meeting the club discussed only one book. If the club discussed 12 books last year, how many of the books were novels?
A. 2
B. 4
C. 5
D. 7
E. 14
A. 2
B. 4
C. 5
D. 7
E. 14
23 Feb 2025, 01:52
Kudos
Bookmarks
OE
Let n represent the number of novels the club discussed last year. Since the club discussed a total of 12 books, the number of nonfction books is represented by 12 - n. This, together with the information that the club met 3 times to discuss each novel and 5 times to discuss each nonfction book, tells you that the number of times the club met last year can be expressed as \(3n + 5(12 - n)\). Since you know that the club met 52 times last year, it follows that \(3n + 5(12 - n) = 52\). Tis equation can be solved for \(n\) as follows.
\(3n + 5(12 - n) = 52\\
3n + 60 - 5n = 52\\
8 = 2n\\
4 = n\)
Thus the club discussed 4 novels.
The correct answer is Choice B.
Let n represent the number of novels the club discussed last year. Since the club discussed a total of 12 books, the number of nonfction books is represented by 12 - n. This, together with the information that the club met 3 times to discuss each novel and 5 times to discuss each nonfction book, tells you that the number of times the club met last year can be expressed as \(3n + 5(12 - n)\). Since you know that the club met 52 times last year, it follows that \(3n + 5(12 - n) = 52\). Tis equation can be solved for \(n\) as follows.
\(3n + 5(12 - n) = 52\\
3n + 60 - 5n = 52\\
8 = 2n\\
4 = n\)
Thus the club discussed 4 novels.
The correct answer is Choice B.
