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If a = 3b + 2, then, in terms of a, what is the value of b ?

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GMAT Club Legend
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If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink] New post 29 Jan 2018, 15:14
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Question Stats:

87% (00:18) correct 12% (00:43) wrong based on 24 sessions
If a = 3b + 2, then, in terms of a, what is the value of b ?
A. \(b =\frac{a}{3}-\frac{2}{3}\)
B. \(b =\frac{a}{3}+\frac{2}{3}\)
C. \(b =\frac{a}{3}-2\)
D. \(b =a-\frac{2}{3}\)
E. \(b =a+\frac{2}{3}\)

Drill 1
Question: 13
Page: 495
[Reveal] Spoiler: OA

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink] New post 29 Jan 2018, 16:57
Expert's post
sandy wrote:
If a = 3b + 2, then, in terms of a, what is the value of b ?
A. \(b =\frac{a}{3}-\frac{2}{3}\)
B. \(b =\frac{a}{3}+\frac{2}{3}\)
C. \(b =\frac{a}{3}-2\)
D. \(b =a-\frac{2}{3}\)
E. \(b =a+\frac{2}{3}\)

Drill 1
Question: 13
Page: 495


GIVEN: a = 3b + 2
Subtract 2 from both sides to get: a - 2 = 3b
Divide both sides by 3 to get: (a - 2)/3 = b
Rewrite as a/3 - 2/3 =b

Answer: A

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink] New post 03 Feb 2018, 04:02
Thank you.
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink] New post 04 Mar 2018, 14:21
Expert's post
Explanation

The problem has variables in the answer choices so Plug In.

Because the problem says, “in terms of a,” a is the variable that you want to plug in for. If a = 8, then b = 2, and that is now your target. When you plug in your value for a into choice (B), you get \(\frac{8}{3}-\frac{2}{3}=\frac{6}{3}=2\); thus, the correct answer.
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Re: If a = 3b + 2, then, in terms of a, what is the value of b ?   [#permalink] 04 Mar 2018, 14:21
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