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

Question

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

Princ · Answer

OA: B
Moe's Height = \frac{120}{100}  Jane's Height
Jane's Height = \frac{100}{120} Moe's Height
Moe's Height =x
Jane's Height =  \frac{5}{6} x

chetan2u · Answer

The most important thing here is to be sure what the DENOMINATOR will be  
So  \frac{M}{J} = \frac{x}{J}=1.2=\frac{12}{10}=\frac{6}{5}......\frac{x}{J}=\frac{6}{5}...J=\frac{5x}{6} ...
B

BrentGMATPrepNow · Answer

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.gmatprepnow.com/articles/co ... 93-part-ii 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

JeffTargetTestPrep · Answer

Letting j = Jane’s height, we can create the equation:

x = 1.2j

x/1.2 = j

10x/12 = j

5x/6 = j

Answer: B

MathRevolution · Answer

Moe is 20% taller than Jane. If Moe is x inches tall, which of the following represents Jane's height in inches?

Moe(x) =  \frac{120}{100}  * Jane

=> Jane =  \frac{(x * 100) }{ 120}

=> Jane =  \frac{5x }{ 6}

Answer B

Abhishek009 · Answer

x = 120% of J

Or,  x = \frac{120j}{100}

Or,  \frac{100x}{120} = j

Or,  j = \frac{5x}{6}  , Answer must be (B)

Paras96 · Answer

Moe is 20% taller than Jane. If Moe is x inches tall, which of the following represents Jane's height in inches?

Let Jane's height be y

Therefore, according to the given problem
=>x=1.2y=6y/5
=>y=5x/6

Hence B

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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745 with Only Self-Prep and GMAT Club

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My Rewards