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500% of a equals 500b. a and b are positive.

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500% of a equals 500b. a and b are positive. [#permalink] New post 29 Apr 2019, 01:37
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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

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Re: 500% of a equals 500b. a and b are positive. [#permalink] New post 04 May 2019, 03:43
please explain.
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Re: 500% of a equals 500b. a and b are positive. [#permalink] New post 04 May 2019, 04:30
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

The answer is a
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Re: 500% of a equals 500b. a and b are positive. [#permalink] New post 04 May 2019, 07:24
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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.

Answer: A

Cheers,
Brent

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Re: 500% of a equals 500b. a and b are positive. [#permalink] New post 08 May 2019, 05:40
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

The answer is a


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

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