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what is the value of a + b ?

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

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what is the value of a + b ? [#permalink] New post 13 May 2017, 17:55
Expert's post
00:00

Question Stats:

100% (00:21) correct 0% (00:00) wrong based on 10 sessions
\(a = \frac{1}{6}\) and \(\frac{6}{7}=\frac{5}{b}\), what is the value of a + b ?

A. \(\frac{71}{210}\)

B. \(3\)

C. \(\frac{187}{42}\)

D. \(6\)

E. \(\frac{47}{6}\)

Drill 1
Question: 4
Page: 337
[Reveal] Spoiler: OA

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Sandy
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1 KUDOS received
GRE Instructor
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Joined: 10 Apr 2015
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Kudos [?]: 1105 [1] , given: 7

Re: what is the value of a + b ? [#permalink] New post 22 May 2017, 08:37
1
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Expert's post
sandy wrote:
\(a = \frac{1}{6}\) and \(\frac{6}{7}=\frac{5}{b}\), what is the value of a + b ?

A. \(\frac{71}{210}\)

B. \(3\)

C. \(\frac{187}{42}\)

D. \(6\)

E. \(\frac{47}{6}\)

Drill 1
Question: 4
Page: 337


Given: 6/7 = 5/b
Cross multiply to get: 6b = (5)(7)
Simplify: 6b = 35
Solve: b = 35/6

What is the value of a + b ?
a + b = 1/6 + 35/6
= 36/6
= 6

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: what is the value of a + b ? [#permalink] New post 04 Jun 2017, 14:46
Expert's post
Explanation

Cross-multiply to find the value of b, \(\frac{35}{6}\). Then substitute in the values of a and b:

\(\frac{1}{6}+\frac{35}{6}=6\).

Hence option D is correct!
_________________

Sandy
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Re: what is the value of a + b ?   [#permalink] 04 Jun 2017, 14:46
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