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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # 500% of a equals 500b. a and b are positive.  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
Posts: 7386
Followers: 123

Kudos [?]: 1448 , given: 6583

500% of a equals 500b. a and b are positive. [#permalink]
Expert's post 00:00

Question Stats: 66% (00:18) correct 33% (00:28) wrong based on 12 sessions
500% of a equals 500b. a and b are positive.

 Quantity A Quantity B 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.
[Reveal] Spoiler: OA

_________________
Intern Joined: 28 Apr 2019
Posts: 24
Followers: 0

Kudos [?]: 9 , given: 4

Re: 500% of a equals 500b. a and b are positive. [#permalink]
Founder  Joined: 18 Apr 2015
Posts: 7386
Followers: 123

Kudos [?]: 1448 , given: 6583

Re: 500% of a equals 500b. a and b are positive. [#permalink]
Expert's post
500% a = 500 b

$$\frac{500}{100} a = 500 b$$

$$5 a = 500 b$$

Now to balance the equation a = 100 and b = 1

a > b

_________________ GRE Instructor Joined: 10 Apr 2015
Posts: 2162
Followers: 64

Kudos [?]: 1975  , given: 19

Re: 500% of a equals 500b. a and b are positive. [#permalink]
1
KUDOS
Expert's post
Carcass wrote:
500% of a equals 500b. a and b are positive.

 Quantity A Quantity B 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.

GIVEN: 500% of a = 500b
Rewrite as: (500/100)a = 500b
Simplify: 5a = 500b
Divide both sides by 5 to get: a = 100b

In Quantity A, replace a with 100b to get:
QUANTITY A: 100b
QUANTITY B: b

At this point, it might be clear that Quantity A is greater.
However, if you're not 100% certain, we can subtract b from both quantities to get:
QUANTITY A: 99b
QUANTITY B: 0

Since we're told b is POSITIVE, we know that 99b is POSITIVE
So, Quantity A must be greater.

Cheers,
Brent

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 27 Jan 2019
Posts: 25
Followers: 0

Kudos [?]: 19 , given: 3

Re: 500% of a equals 500b. a and b are positive. [#permalink]
Carcass wrote:
500% a = 500 b

$$\frac{500}{100} a = 500 b$$

$$5 a = 500 b$$

Now to balance the equation a = 100 and b = 1

a > b

I think b does not has to equal 1. We have a fraction or ratio. so B could take other values as well as long as the ratio is equal. if a= 200 in which case b have to equal 2.

But the equation is enough to tell us that a is larger than b. a=100b
Founder  Joined: 18 Apr 2015
Posts: 7386
Followers: 123

Kudos [?]: 1448 , given: 6583

Re: 500% of a equals 500b. a and b are positive. [#permalink]
Expert's post
Yes. You are totally right.

I took as an example only integers. However, fraction should take in account because of the stem does nor specify.

I went straight because the result does not change.

Regards
_________________ Re: 500% of a equals 500b. a and b are positive.   [#permalink] 08 May 2019, 09:36
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