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

Expert's post

00:00

Question Stats:

80% (00:26) correct
20% (00:34) wrong based on 40 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.

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

1

This post received 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.

Answer: A

Cheers, Brent

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