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A piece of twine with length of t is cut into two pieces. The length o

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A piece of twine with length of t is cut into two pieces. The length o [#permalink] New post   09 Jun 2023, 05:00
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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 piece of twine with length of t is cut into two pieces. The length o [#permalink] New post   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
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Re: A piece of twine with length of t is cut into two pieces. The length o [#permalink] New post   12 Jun 2023, 04:00
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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
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Re: A piece of twine with length of t is cut into two pieces. The length o [#permalink]
12 Jun 2023, 04:00
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