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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Moe is 20% taller than Jane. If Moe is x inches tall,
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22 Jul 2018, 07:36
22 Jul 2018, 07:36
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43% (00:48) correct
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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
A) 4x/5
B) 5x/6
C) 2x/3
D) 5x/4
E) 6x/5
Re: Moe is 20% taller than Jane. If Moe is x inches tall,
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23 Jul 2018, 03:02
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
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Moe is 20% taller than Jane. If Moe is x inches tall,
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24 Jul 2018, 09:39
24 Jul 2018, 09:39
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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
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
