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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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sandy
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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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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. \(\frac{7}{15}\)

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dvtasatryan
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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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sandy
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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!

Regards,
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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
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Pinch wrote:
12/245



how did we get 12/245 I am getting 245/12? Please clarify
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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   05 Aug 2024, 19:01
Hello from the GRE Prep Club BumpBot!

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Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink]
05 Aug 2024, 19:01
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