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10 Nov 2021, 09:45
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C
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Difficulty:
35%
(medium)
Question Stats:
73% (02:06) correct
27%
(02:10)
wrong
based on 165
sessions
History
Date
Time
Result
Not Attempted Yet
On a given week, the classical literature section in a certain library had 40 different books, all of which were in stock on the shelf on Monday morning. If 50 percent of the books that were borrowed during the week were returned to the library on or before Saturday morning of that same week, and if there were at least 22 books on the shelf that Saturday morning, what is the greatest number of the books that could have been borrowed during the week?
A. 40
B. 38
C. 36
D. 34
E. 32
A. 40
B. 38
C. 36
D. 34
E. 32
10 Nov 2021, 12:13
Kudos
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Books available: 40
Books taken out: t
50% of the books that were taken out that were returned:
Books available on Saturday morning: 22
\(40 - t + t*\frac{1}{2} = 22\)
\(40 - t + \frac{t}{2} = 22\)
\(40 - \frac{2t}{t} + \frac{t}{2} = 22\)
\(40 - \frac{t}{2} = 22\)
\(\frac{t}{2} = 18\)
\(t = 36\)
Answer C
Books taken out: t
50% of the books that were taken out that were returned:
Books available on Saturday morning: 22
\(40 - t + t*\frac{1}{2} = 22\)
\(40 - t + \frac{t}{2} = 22\)
\(40 - \frac{2t}{t} + \frac{t}{2} = 22\)
\(40 - \frac{t}{2} = 22\)
\(\frac{t}{2} = 18\)
\(t = 36\)
Answer C
01 Dec 2024, 01:51
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