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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]  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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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]  02 Jun 2017, 05:39
4
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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.
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
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Kudos [?]: 1899 [0], given: 397

Re: If the ratio of b to c is 35 to 4, and the ratio of a to c [#permalink]  02 Jun 2017, 18:02
Expert's post
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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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]  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]  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]  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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