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a/b=153

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a/b=153 [#permalink] New post 18 Feb 2018, 01:18
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Question Stats:

76% (00:38) correct 23% (01:16) wrong based on 13 sessions
\(\frac{a}{b} = 153\) ; \(\frac{a}{c} = 51\) ; \(a > 0\)

Quantity A
Quantity B
\(b\)
\(c\)






A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

Last edited by Carcass on 19 Feb 2018, 02:37, edited 2 times in total.
Edited by Carcass
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Re: a/b=153 [#permalink] New post 19 Feb 2018, 02:40
Expert's post
\(a = 153b\)

\(a = 51c\)

\(51c = 153b\)

Clearly, C is bigger than b.

B is the answer.
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Re: a/b=153 [#permalink] New post 19 Feb 2018, 12:45
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ash wrote:
\(\frac{a}{b} = 153\) ; \(\frac{a}{c} = 51\) ; \(a > 0\)

Quantity A
Quantity B
\(b\)
\(c\)




Let's first solve the two given equations for b and c

GIVEN: a/b = 153
Multiply both sides by b to get: a = 153b
Divide both sides by 153 to get: a/153 = b

GIVEN: a/c = 51
Multiply both sides by c to get: a = 51c
Divide both sides by 51 to get: a/51 = c

So, we have:
Quantity A: a/153
Quantity B: a/51

From here we can use matching operations

Since a > 0, we can safely divide both quantities by a to get:
Quantity A: 1/153
Quantity B: 1/51

Answer: B

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Re: a/b=153 [#permalink] New post 19 Feb 2018, 12:53
Expert's post
Thank you Brent.
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Re: a/b=153 [#permalink] New post 19 Feb 2018, 13:00
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Carcass wrote:
Thank you Brent.


You're welcome :-D

Cheers,
Brent
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Re: a/b=153   [#permalink] 19 Feb 2018, 13:00
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