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A piece of twine with length of t is cut into two pieces. The length o
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09 Jun 2023, 05:00
09 Jun 2023, 05:00
Expert Reply
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Question Stats:
70% (02:11) correct
30% (03:05) wrong based on 20 sessions
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A piece of twine with length of 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 is 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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A. t+3/3
B. 3t+2/3
C. t-2/4
D. 3t+4/4
E. 3t+2/4
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 piece of twine with length of t is cut into two pieces. The length o
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11 Jun 2023, 03:15
11 Jun 2023, 03:15
1
x(shorter) + y(longer) = t
x + 3x + 2 = t
t = 4x + 2
x = (t - 2)/4
y = t - (t - 2)/4 = (4t - t + 2)/4 = (3t + 2)/4
Option E
x + 3x + 2 = t
t = 4x + 2
x = (t - 2)/4
y = t - (t - 2)/4 = (4t - t + 2)/4 = (3t + 2)/4
Option E
Re: A piece of twine with length of t is cut into two pieces. The length o
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12 Jun 2023, 04:00
12 Jun 2023, 04:00
Expert Reply
OE
There is a variable in the question and in the answer choices, so Plug In. The question states that the longer piece is 2 yards longer than 3 times the shorter piece. If the shorter piece is 2 yards, then the longer piece is 3 × 2 + 2 = 8 yards, which means that the total length t of twine is 2 + 8 = 10 yards. The question asks what is the length of the longer piece in terms of t. The length of the longer piece is 8, so the target is 8. Plug In t = 10 in the answer choices. Choice (A) is 10+3/3= 13/3 Eliminate choice A
B is 3*10+2/3=32/3 B out
C is 10-2/4=2 C is out
D is 3*10+4/4=34/4 D is out
E is 3*10+2/4=8
E is the correct choice
There is a variable in the question and in the answer choices, so Plug In. The question states that the longer piece is 2 yards longer than 3 times the shorter piece. If the shorter piece is 2 yards, then the longer piece is 3 × 2 + 2 = 8 yards, which means that the total length t of twine is 2 + 8 = 10 yards. The question asks what is the length of the longer piece in terms of t. The length of the longer piece is 8, so the target is 8. Plug In t = 10 in the answer choices. Choice (A) is 10+3/3= 13/3 Eliminate choice A
B is 3*10+2/3=32/3 B out
C is 10-2/4=2 C is out
D is 3*10+4/4=34/4 D is out
E is 3*10+2/4=8
E is the correct choice
