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03 Apr 2023, 01:30
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
58% (02:04) correct
42%
(02:13)
wrong
based on 416
sessions
History
Date
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The value of which of the following can be determined if (a + 12b)/4b = 18/5?
I. a/b
II. 5b/(a + 7b)
III. (a + 3)/(b + 5)
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
I. a/b
II. 5b/(a + 7b)
III. (a + 3)/(b + 5)
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
04 Apr 2023, 11:33
Kudos
Bookmarks
\(\frac{(a+12b)}{4b} =\frac{18}{5}\\
5a + 60b = 72b\\
=> 5a = 12b\\
=>\frac{ a}{b} = \frac{12}{5}\)
Therefore, I can be determined.
Now, \(\frac{(a+12b)}{4b} =\frac{18}{5}\)
=>(a+7b +5b) =\( \frac{18}{5}\)*4b
=> a + 7b = \( \frac{72b}{5}\) - 5b
=> a + 7b =\( \frac{(72-25)b}{5 }= \frac{47b}{5}\)
=>\(\frac{(a+7b)}{b }= \frac{47}{5}\)
Taking reciprocal and multiplying both sides by 5, we get
=> \(\frac{5b}{(a+7b)} = \frac{25}{47}\)
therefore, II can be determined.
Since, we know that a/b = 12/5. we cannot find III.
Answer D
5a + 60b = 72b\\
=> 5a = 12b\\
=>\frac{ a}{b} = \frac{12}{5}\)
Therefore, I can be determined.
Now, \(\frac{(a+12b)}{4b} =\frac{18}{5}\)
=>(a+7b +5b) =\( \frac{18}{5}\)*4b
=> a + 7b = \( \frac{72b}{5}\) - 5b
=> a + 7b =\( \frac{(72-25)b}{5 }= \frac{47b}{5}\)
=>\(\frac{(a+7b)}{b }= \frac{47}{5}\)
Taking reciprocal and multiplying both sides by 5, we get
=> \(\frac{5b}{(a+7b)} = \frac{25}{47}\)
therefore, II can be determined.
Since, we know that a/b = 12/5. we cannot find III.
Answer D
