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# a and b are positive. (a + 6) : (b + 6) = 5 : 6

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Kudos [?]: 1430 [1] , given: 6569

a and b are positive. (a + 6) : (b + 6) = 5 : 6 [#permalink]  14 Apr 2019, 10:22
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Expert's post
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Question Stats:

64% (00:32) correct 35% (01:19) wrong based on 17 sessions
a and b are positive. (a + 6) : (b + 6) = 5 : 6

 Quantity A Quantity B b 1

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.
[Reveal] Spoiler: OA

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GRE Instructor
Joined: 10 Apr 2015
Posts: 2144
Followers: 62

Kudos [?]: 1955 [3] , given: 18

Re: a and b are positive. (a + 6) : (b + 6) = 5 : 6 [#permalink]  14 Apr 2019, 14:57
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Expert's post
Carcass wrote:
a and b are positive. (a + 6) : (b + 6) = 5 : 6

 Quantity A Quantity B b 1

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.

GIVEN: (a + 6) : (b + 6) = 5 : 6
In other words: (a + 6)/(b + 6) = 5/6
Cross multiply to get: 5(b + 6) = 6(a + 6)
Expand: 5b + 30 = 6a + 36
Subtract 30 from both sides: 5b = 6a + 6
Solve: b = (6a + 6)/5
Simplify: b = 6a/5 + 6/5
Since a is POSITIVE, we know that 6a/5 is POSITIVE
So, b = some POSITIVE number + 6/5
So, b must be greater than 6/5

We get:
QUANTITY A: some number greater than 6/5
QUANTITY B: 1

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: a and b are positive. (a + 6) : (b + 6) = 5 : 6   [#permalink] 14 Apr 2019, 14:57
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# a and b are positive. (a + 6) : (b + 6) = 5 : 6

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