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If the ratio of b to c is 35 to 4, and the ratio of a to c

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If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 31 May 2017, 07:04
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Question Stats:

27% (01:02) correct 72% (02:37) wrong based on 11 sessions
If the ratio of \(b\) to \(c\) is 35 to 4, and the ratio of \(a\) to \(c\) is 3 to 7, then what is the ratio of \(a\) to \(b\)?

A. \(\frac{3}{35}\)
B. \(\frac{4}{35}\)
C. \(\frac{1}{5}\)
D. \(\frac{1}{4}\)
E. \(\frac{7}{15}\)

Drill 2
Question: 6
Page: 341
[Reveal] Spoiler: OA

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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 02 Jun 2017, 05:39
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Is there a correct answer among those listed? The correct answer, provided that the problem is worded properly, should be 12/245.
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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 02 Jun 2017, 18:02
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dvtasatryan wrote:
Is there a correct answer among those listed? The correct answer, provided that the problem is worded properly, should be 12/245.


Hi,

You are correct!
There are no correct options in the answers. This is an official question from Princeton Review though!

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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 16 Jan 2018, 17:10
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Either the question is wrong or the correct answer is not in the choice. If we go by the princeton exercise answer explanation, b to c is 15 to 4 instead of 35 to 4.

In that case

b/c=15/4;
a/c=3/7;

substituting c in terms of b
(a/4b)*15 = 3/7;
15*7*a = 4*3*b;
a/b = 12/105 --> divide both by 3;
a/b = 4/35 --> answer choice (b)
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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 27 Jan 2018, 00:34
12/245
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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink] New post 09 May 2018, 19:10
Pinch wrote:
12/245



how did we get 12/245 I am getting 245/12? Please clarify
Re: If the ratio of b to c is 35 to 4, and the ratio of a to c   [#permalink] 09 May 2018, 19:10
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