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# If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?

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Math Expert
Joined: 02 Sep 2009
Posts: 52905
If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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22 Jan 2019, 01:02
1
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Difficulty:

45% (medium)

Question Stats:

65% (01:29) correct 35% (01:46) wrong based on 34 sessions

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If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?

A 13/49

B 13/36

C 36/49

D 6/7

E 7/6

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VP
Joined: 31 Oct 2013
Posts: 1116
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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22 Jan 2019, 01:06
Bunuel wrote:
If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?

A 13/49

B 13/36

C 36/49

D 6/7

E 7/6

Given,

7a = 6b

a/b = 6/7.

Again ,

a/7 to b/6

=a/7 * 6/b

=a/b * 6/7

= 6/7 * 6/7

= 36/49.

SVP
Joined: 18 Aug 2017
Posts: 1770
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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22 Jan 2019, 04:06
Bunuel wrote:
If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?

A 13/49

B 13/36

C 36/49

D 6/7

E 7/6

a=6b/7

a/7/b/6
would be
36/49
IMO C
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Manager
Joined: 15 Feb 2018
Posts: 242
Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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25 Jan 2019, 23:28
I chose C and I still don't understand either of the above posts.
Intern
Joined: 24 Jan 2013
Posts: 14
If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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25 Jan 2019, 23:45
7 a = 6 b

this implies
$$\frac{a}{b}=\frac{6}{7}$$

We need to find a/7 : b/6

which is equal to $$\frac{a}{7}*\frac{6}{b}$$

OR $$\frac{a}{b}*\frac{6}{7}$$
NOW A/B= 6/7

Put values - $$\frac{6}{7}*\frac{6}{7}$$

$$=\frac{36}{49}$$

Hence c[m]

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If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?   [#permalink] 25 Jan 2019, 23:45
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