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36a = 25b ab ≠ 0

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GRE Prep Club Legend
GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 [0], given: 397

36a = 25b ab ≠ 0 [#permalink] New post 14 May 2017, 05:01
Expert's post
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Question Stats:

70% (00:56) correct 30% (01:22) wrong based on 20 sessions
36a = 25b
ab ≠ 0

Quantity A
Quantity B
\(\frac{5}{6}\)
\(\frac{a}{b}\)


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



Drill 1
Question: 8
Page: 338
[Reveal] Spoiler: OA

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Sandy
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Joined: 10 Apr 2015
Posts: 1962
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Kudos [?]: 1792 [1] , given: 9

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Re: 36a = 25b ab ≠ 0 [#permalink] New post 16 May 2017, 07:31
1
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Expert's post
sandy wrote:
36a = 25b
ab ≠ 0

Quantity A
Quantity B
\(\frac{5}{6}\)
\(\frac{a}{b}\)




Quantity A: 5/6
Quantity B: a/b

Take the given equation, 36a = 25b, and solve for a to get: a = 25b/36

Take quantity B and replace a with 25b/36
We get:
Quantity A: 5/6
Quantity B: (25b/36)/b

Simplify:
Quantity A: 5/6
Quantity B: 25b/36b

Simplify:
Quantity A: 5/6
Quantity B: 25/36

Rewrite quantity A as EQUIVALENT fraction:
Quantity A: 30/36
Quantity B: 25/36

Answer:
[Reveal] Spoiler:
A


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1 KUDOS received
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 [1] , given: 397

Re: 36a = 25b ab ≠ 0 [#permalink] New post 04 Jun 2017, 14:55
1
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Expert's post
Explanation

Divide both sides by b, then divide both sides by 36 to find: \(\frac{a}{b}=\frac{25}{36}\).

Use the Bowtie to compare the two fractions:

36 times 5 equals 180, while 6 times 25 equals 150. 180 is bigger, so Quantity A is greater.
_________________

Sandy
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Re: 36a = 25b ab ≠ 0   [#permalink] 04 Jun 2017, 14:55
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36a = 25b ab ≠ 0

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