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The ratio of x to y is 3 : 4, and the ratio of x + 7 to y +

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The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 24 Apr 2018, 01:55
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65% (01:29) correct 34% (02:30) wrong based on 43 sessions


The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + 7 is 4 : 5.

Quantity A
Quantity B
\(\frac{x+14}{y+14}\)
\(\frac{5}{6}\)


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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[Reveal] Spoiler: OA

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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 24 Apr 2018, 03:23
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From 2 equations, solving for x and y gives, x= 21 and y =28.

x+14/y+14 = 35/42

=5/6

Hence C
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 20 May 2018, 01:16
mohan514 wrote:
From 2 equations, solving for x and y gives, x= 21 and y =28.

x+14/y+14 = 35/42

=5/6

Hence C




can u please elaborate your solution.
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 20 May 2018, 04:45
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Solve the equations given

\(\frac{x}{y}=\frac{3}{4}\)

\(4x=3y\)

Second equations

\(\frac{x+7}{y+7}=\frac{4}{5}\)

\(5x+35=4y+28\) or \(5x-4y=-7\).

Solving these 2 equations we get x=21 and y=28.

So \(\frac{x+14}{y+14}=\frac{21+14}{28+14}=\frac{35}{42}=\frac{5}{6}\)
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 06 Dec 2019, 10:08
What about noticing a pattern? You can see that initially x/y equals to 3/4 then when it is x+7/y+7 equals to 4/5. Can't you just assume that it should increase to 5/6 based on the give pattern?
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink] New post 06 Dec 2019, 11:24
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I do not think in this scenario a pattern could unfold.

You could go wrong.


However, if it works to reach a solution easier and faster, go for it. Why not :)
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y +   [#permalink] 06 Dec 2019, 11:24
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