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# 3k-12j/9 vs k-4j/3

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1914 [1] , given: 397

3k-12j/9 vs k-4j/3 [#permalink]  04 Mar 2018, 13:39
1
KUDOS
Expert's post
00:00

Question Stats:

71% (00:19) correct 28% (00:06) wrong based on 32 sessions
 Quantity A Quantity B $$\frac{3k-12j}{9}$$ $$\frac{k-4j}{3}$$

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 2
Page: 493
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1914 [0], given: 397

Re: 3k-12j/9 vs k-4j/3 [#permalink]  04 Mar 2018, 14:05
Expert's post
Explanation

You can find the two quantities to be equal by plugging in values for k and j: If k = 2 and j = 3,

then Quantity A is $$\frac{3(2)-12(3)}{9}$$, or $$\frac{-30}{9}$$ which can be reduced to $$\frac{-10}{3}$$.

Quantity B is $$\frac{2-4(3)}{3}$$or $$\frac{-10}{3}$$.

Algebraically, try factoring and canceling a 3 out of the numerator of

Quantity A: $$\frac{3k-12j}{9}=\frac{3(k-4j)}{3 \times 3}=\frac{k-4j}{3}$$.
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Sandy
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GRE Instructor
Joined: 10 Apr 2015
Posts: 2027
Followers: 62

Kudos [?]: 1843 [1] , given: 9

Re: 3k-12j/9 vs k-4j/3 [#permalink]  05 Mar 2018, 09:23
1
KUDOS
Expert's post
sandy wrote:
 Quantity A Quantity B $$\frac{3k-12j}{9}$$ $$\frac{k-4j}{3}$$

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 2
Page: 493

We can solve this question using matching operations

Given:
Quantity A: (3k - 12j)/9
Quantity B: (k - 4j)/3

Eliminate fractions by multiplying both quantities by 9 (the least common multiple of 9 and 3) to get:
Quantity A: 3k - 12j
Quantity B: 3(k - 4j)

Expand Quantity B to get:
Quantity A: 3k - 12j
Quantity B: 3k - 12j

We can see the two quantities are EQUAL

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: 3k-12j/9 vs k-4j/3   [#permalink] 05 Mar 2018, 09:23
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