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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
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Joined: 02 Sep 2009
Posts: 58340
If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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New post 22 Jan 2019, 02:02
2
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:34) correct 24% (01:46) wrong based on 44 sessions

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VP
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D
Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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New post 22 Jan 2019, 02:06
1
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.

C is the correct answer.
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Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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New post 22 Jan 2019, 05:06
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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Re: If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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New post 26 Jan 2019, 00:28
I chose C and I still don't understand either of the above posts.
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If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?  [#permalink]

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New post 26 Jan 2019, 00:45
1
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]

Please give Kudos if my post was of any help
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If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?   [#permalink] 26 Jan 2019, 00:45
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If 7a = 6b and ab ≠ 0, what is the ratio of a/7 to b/6?

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