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A piece of twine of length t
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Updated on: 01 May 2016, 06:42
Updated on: 01 May 2016, 06:42
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76% (01:45) correct
23% (00:54) wrong based on 30 sessions
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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) \(\frac{(t+3)}{3}\)
(B) \(\frac{(3t+2)}{3}\)
(C) \(\frac{(t-2)}{4}\)
(D) \(\frac{(3t+4)}{4}\)
(E) \(\frac{(3t+2)}{4}\)
(A) \(\frac{(t+3)}{3}\)
(B) \(\frac{(3t+2)}{3}\)
(C) \(\frac{(t-2)}{4}\)
(D) \(\frac{(3t+4)}{4}\)
(E) \(\frac{(3t+2)}{4}\)
Re: A piece of twine of length t
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01 May 2016, 06:47
01 May 2016, 06:47
Expert Reply
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 \(L=2 + 3x - 3L\) >>>> \(4L=2+3x\) >>>>> \(L=\frac{3x+2}{4}\)
The answer is E.
PS: E was not provided in your post.
Ask if something remains unclear to you.
Back to the question.
The total length of the piece, cutting in to two parts, is L. \(L= 2+3(x-L)\)
From this \(L=2 + 3x - 3L\) >>>> \(4L=2+3x\) >>>>> \(L=\frac{3x+2}{4}\)
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
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22 Apr 2019, 06:47
22 Apr 2019, 06:47
1
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) \(\frac{(t+3)}{3}\)
(B) \(\frac{(3t+2)}{3}\)
(C) \(\frac{(t-2)}{4}\)
(D) \(\frac{(3t+4)}{4}\)
(E) \(\frac{(3t+2)}{4}\)
(A) \(\frac{(t+3)}{3}\)
(B) \(\frac{(3t+2)}{3}\)
(C) \(\frac{(t-2)}{4}\)
(D) \(\frac{(3t+4)}{4}\)
(E) \(\frac{(3t+2)}{4}\)
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: \(x = \frac{3t + 2}{4}\)
Answer: E
