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16 Sep 2014, 01:30
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:02) correct
32%
(02:07)
wrong
based on 148
sessions
History
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Not Attempted Yet
Each shelf of a bookcase originally contained 24 books. A librarian removed 42 books and rearranged the remaining books so that all shelves, except for the last one, now contain 16 books, and the last shelf contains 22 books. How many shelves does the bookcase have?
A. 4
B. 5
C. 6
D. 8
E. 9
A. 4
B. 5
C. 6
D. 8
E. 9
16 Sep 2014, 01:30
Kudos
Bookmarks
Official Solution:
Each shelf of a bookcase originally contained 24 books. A librarian removed 42 books and rearranged the remaining books so that all shelves, except for the last one, now contain 16 books, and the last shelf contains 22 books. How many shelves does the bookcase have?
A. 4
B. 5
C. 6
D. 8
E. 9
Let's denote the number of shelves as \(x\). We can create an equation based on the given information: \(24x - 42 = 16(x-1) + 22\). Solving the equation, we find that \(x = 6\).
Thus, the bookcase has 6 shelves.
Answer: C
Each shelf of a bookcase originally contained 24 books. A librarian removed 42 books and rearranged the remaining books so that all shelves, except for the last one, now contain 16 books, and the last shelf contains 22 books. How many shelves does the bookcase have?
A. 4
B. 5
C. 6
D. 8
E. 9
Let's denote the number of shelves as \(x\). We can create an equation based on the given information: \(24x - 42 = 16(x-1) + 22\). Solving the equation, we find that \(x = 6\).
Thus, the bookcase has 6 shelves.
Answer: C
