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If \(b\neq{1}\), what is the value of a in terms of b if ab/(a-b)=1?
A. \(\frac{b}{1-b}\)
B. \(\frac{b-1}{b}\)
C. \(\frac{b}{b+1}\)
D. \(\frac{b+1}{b}\)
E. \(\frac{1-b}{b}\)
A. \(\frac{b}{1-b}\)
B. \(\frac{b-1}{b}\)
C. \(\frac{b}{b+1}\)
D. \(\frac{b+1}{b}\)
E. \(\frac{1-b}{b}\)
The answer is b/1-b but I'm not sure how they got it.
23 Mar 2012, 08:55
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If \(b\neq{1}\), what is the value of \(a\) in terms of \(b\) if \(\frac{ab}{a-b}=1\)?
A. \(\frac{b}{1-b}\)
B. \(\frac{b-1}{b}\)
C. \(\frac{b}{b+1}\)
D. \(\frac{b+1}{b}\)
E. \(\frac{1-b}{b}\)
Cross-multiply:
Rearrange:
Factor out \(a\):
Answer: A.
A. \(\frac{b}{1-b}\)
B. \(\frac{b-1}{b}\)
C. \(\frac{b}{b+1}\)
D. \(\frac{b+1}{b}\)
E. \(\frac{1-b}{b}\)
\(\frac{ab}{a-b}=1\)
Cross-multiply:
\(ab=a-b\);
Rearrange:
\(b=a-ab\);
Factor out \(a\):
\(b=a(1-b)\)
\(a=\frac{b}{1-b}\).
\(a=\frac{b}{1-b}\).
Answer: A.
General Discussion
sashiim20
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 609
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Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 609
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1,886
05 Jul 2017, 05:16
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Jakevmi80
\(\frac{ab}{(a-b)}=1\)
\(ab = a-b\)
\(a - ab = b\)
\(a(1 - b) = b\)
\(a = \frac{b}{b - 1}\)
Answer (A)...
