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A piece of twine of length t

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happy1992
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A piece of twine of length t [#permalink] New post   Updated on: 01 May 2016, 06:42
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A piece of twine of length t is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece which of the following of the length, in yards, of the longer piece

(A) (t+3)3

(B) (3t+2)3

(C) (t−2)4

(D) (3t+4)4

(E) (3t+2)4
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E

Originally posted by happy1992 on 30 Apr 2016, 21:36.
Last edited by Carcass on 01 May 2016, 06:42, edited 1 time in total.
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Re: A piece of twine of length t [#permalink] New post   01 May 2016, 06:47
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Please follow the rules for posting in verbal section rules-for-posting-please-read-this-before-posting-1083.html

Back to the question.

The total length of the piece, cutting in to two parts, is L. L=2+3(x−L)

From this L=2+3x−3L >>>> 4L=2+3x >>>>> L=3x+24

The answer is E.

PS: E was not provided in your post.

Ask if something remains unclear to you.
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Re: A piece of twine of length t [#permalink] New post   22 Apr 2019, 06:47
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happy1992 wrote:
A piece of twine of length t is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece which of the following of the length, in yards, of the longer piece

(A) (t+3)3

(B) (3t+2)3

(C) (t−2)4

(D) (3t+4)4

(E) (3t+2)4


A piece of twine of length t is cut into two pieces.
Let x = the length of the LONGER piece in yards
So, t - x = the length of the SHORTER piece in yards

The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece.
In other words: (longer piece) = 3(shorter piece) + 2
In other words: x = 3(t - x) + 2

Which of the following is the length, in yards, of the longer piece?
So, we must solve for x
Take: x = 3(t - x) + 2
Expand right side: x = 3t - 3x + 2
Add 3x to both sides: 4x = 3t + 2
Divide both sides by 4 to get: x=3t+24

Answer: E
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Re: A piece of twine of length t [#permalink] New post   22 Aug 2019, 07:09
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The explanations already stated are good. I just liked writing it out this way:
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Re: A piece of twine of length t [#permalink]
22 Aug 2019, 07:09
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