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Moe is 20% taller than Jane. If Moe is x inches tall,

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Moe is 20% taller than Jane. If Moe is x inches tall, [#permalink] New post 22 Jul 2018, 07:36
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Question Stats:

66% (00:50) correct 33% (00:58) wrong based on 9 sessions
Moe is 20% taller than Jane. If Moe is x inches tall, which of the following represents Jane's height in inches?

A) 4x/5
B) 5x/6
C) 2x/3
D) 5x/4
E) 6x/5
[Reveal] Spoiler: OA

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Re: Moe is 20% taller than Jane. If Moe is x inches tall, [#permalink] New post 23 Jul 2018, 03:02
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GreenlightTestPrep wrote:
Moe is 20% taller than Jane. If Moe is x inches tall, which of the following represents Jane's height in inches?

A) 4x/5
B) 5x/6
C) 2x/3
D) 5x/4
E) 6x/5



Given

Moe is 20% taller than Jane.

JANE = x inches

x is 120% of mou's height. As x represents 120% we can find out 100% , which is the height of Mou. This can be expressed as follows:

(x/120)*100.

= 5x /6

The best answer is B.
1 KUDOS received
GRE Instructor
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Joined: 10 Apr 2015
Posts: 1188
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Re: Moe is 20% taller than Jane. If Moe is x inches tall, [#permalink] New post 24 Jul 2018, 09:39
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Expert's post
GreenlightTestPrep wrote:
Moe is 20% taller than Jane. If Moe is x inches tall, which of the following represents Jane's height in inches?

A) 4x/5
B) 5x/6
C) 2x/3
D) 5x/4
E) 6x/5



I created this question to highlight a common misconception that goes something like this:
If Moe is 20% taller then Jane, then Jane must be 20% shorter than Moe. If you have this misconception, then you will incorrectly choose A as your answer.
For more on this common misconception, read https://www.greenlighttestprep.com/node/1658

Moe is 20% taller than Jane.
Let J = Jane's height (in inches)
So, 1.2J = Moe's height

Moe is x inches tall.
We just learned that 1.2J = Moe's height
So, we can write: 1.2J = x
Since 1.2 = 6/5, we can rewrite the equation as follows: (6/5)J = x

Which of the following represents Jane's height in inches?
Solve the equation (6/5)J = x for J
Multiply both sides of the above equation by 5/6 to get: J = (5/6)(x)
Simplify: J = 5x/6

Answer: B

Cheers,
Brent
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Re: Moe is 20% taller than Jane. If Moe is x inches tall,   [#permalink] 24 Jul 2018, 09:39
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