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A 100-foot rope is cut so that the shorter piece is
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17 May 2023, 01:53
17 May 2023, 01:53
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81% (01:14) correct
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A 100-foot rope is cut so that the shorter piece is 2/3 the length of the longer piece. What is the length of the shorter piece in feet?
A. 75
B. 66 2/3
C. 50
D. 40
E. 33 1/3
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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A. 75
B. 66 2/3
C. 50
D. 40
E. 33 1/3
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
A 100-foot rope is cut so that the shorter piece is
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17 May 2023, 02:11
17 May 2023, 02:11
1
Let the shorter piece of the rope be \(x\).
Longer piece will be \(100-x\).
We are told that the shorter piece is \(2/3\) rds the length of the longer piece, i.e.
\(x = \frac{2}{3}(100-x)\)
\(3x = 2(100-x)\)
\(3x = 200 - 2x\)
\(3x + 2x = 200\)
\(5x = 200\)
\(x = \frac{200}{5}\)
\(x = 40\)
The length of the shorter piece is \(40\) feet.
The Answer is D.
Check
The length of the shorter piece is \(40\) feet.
The length of the longer piece is \(100-x = 100-40 = 60\)
Lets check if the shorter piece is \(\frac{2}{3}\) rds of the longer piece
\(40 = (\frac{2}{3})60\)
\(40 = \frac{120}{3}\)
\(40 = 40\)
Hence we have the correct solution to the problem.
Longer piece will be \(100-x\).
We are told that the shorter piece is \(2/3\) rds the length of the longer piece, i.e.
\(x = \frac{2}{3}(100-x)\)
\(3x = 2(100-x)\)
\(3x = 200 - 2x\)
\(3x + 2x = 200\)
\(5x = 200\)
\(x = \frac{200}{5}\)
\(x = 40\)
The length of the shorter piece is \(40\) feet.
The Answer is D.
Check
The length of the shorter piece is \(40\) feet.
The length of the longer piece is \(100-x = 100-40 = 60\)
Lets check if the shorter piece is \(\frac{2}{3}\) rds of the longer piece
\(40 = (\frac{2}{3})60\)
\(40 = \frac{120}{3}\)
\(40 = 40\)
Hence we have the correct solution to the problem.
Re: A 100-foot rope is cut so that the shorter piece is
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24 Jul 2024, 09:36
24 Jul 2024, 09:36
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
