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4/a=b/4

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Carcass
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4/a=b/4 [#permalink] New post   27 Jan 2021, 06:16
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\(\frac{4}{a}=\frac{b}{4}\)


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.

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Re: 4/a=b/4 [#permalink] New post   27 Jan 2021, 06:23
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Carcass wrote:
\(\frac{4}{a}=\frac{b}{4}\)


Quantity A
Quantity B
a
b



Given: \(\frac{4}{a}=\frac{b}{4}\)
Cross multiply to get: \(ab=16\)

There are many pairs of values (of a and b) that satisfy the equation \(ab=16\). Here are two cases:

case i: \(a=16\) and \(b=1\)
We get:
Quantity A: 16
Quantity B: 1
In this case, Quantity A is greater

case ii: \(a=1\) and \(b=16\)
Quantity A: 1
Quantity B: 16
In this case, Quantity B is greater

Answer: D
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Re: 4/a=b/4 [#permalink]
27 Jan 2021, 06:23
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