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3x=4y

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Carcass
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3x=4y [#permalink] New post   14 Jun 2018, 16:04
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\(3x=4y\)

\(xy\neq 0\)

Quantity A
Quantity B
The ratio of x to y
The ratio of y to x


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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A
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msk0657
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Re: 3x=4y [#permalink] New post   15 Jun 2018, 06:03
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Carcass wrote:
\(3x=4y\)

\(xy\neq 0\)

Quantity A
Quantity B
The ratio of x to y
The ratio of y to x


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.


x/y = 4/3 ~ 1.3

y/x = 3/4 ~ 0.7

Col A > B.

A.
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GreenlightTestPrep
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Re: 3x=4y [#permalink] New post   18 Sep 2020, 07:01
1
Carcass wrote:
\(3x=4y\)

\(xy\neq 0\)

Quantity A
Quantity B
The ratio of x to y
The ratio of y to x


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.


Key concept: The ratio of x to y = x/y (same concept, different notation)

So, the question is really asking us to compare the following quantities:
QUANTITY A: x/y
QUANTITY B: y/x

Given: 3x = 4y
Divide both sides by y to get: 3x/y = 4
Divide both sides by 3 to get: x/y = 4/3

If we flip (invert) both fractions, we also get: y/x = 3/4
We get:
QUANTITY A: x/y = 4/3
QUANTITY B: y/x = 3/4

Answer: A

Cheers,
Brent
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asherahmedd
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Re: 3x=4y [#permalink] New post   28 Jun 2022, 11:42
What if either of the variables contains a negative term?
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Re: 3x=4y [#permalink] New post   28 Jun 2022, 19:38
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It can't be possible.

Both \(x\) & \(y\) will have the same sign else \(3x = 4y\) will not hold true.

asherahmedd wrote:
What if either of the variables contains a negative term?
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Re: 3x=4y [#permalink]
28 Jun 2022, 19:38
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