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gayathri
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A straight picket fence is composed of x pickets each of which is 1/2 Updated on: 23 Feb 2015, 07:40
Originally posted by gayathri on 14 Jan 2005, 09:45.
Last edited by Bunuel on 23 Feb 2015, 07:40, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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95% (hard)

Question Stats:

37% (01:57) correct 63% (01:56) wrong based on 126 sessions

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A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet?

A. 13x/2
B. 13x/2 - 6
C. 13x/24
D. (13x+1)/24
E. (13x-12)/24

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-straight-picket-fence-is-composed-of-x-pickets-each-of-whi-9552.html

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E
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gayathri
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A straight picket fence is composed of x pickets each of which is 1/2 14 Jan 2005, 11:00
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Guys its not B.

Read the question carefully!
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gayathri
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A straight picket fence is composed of x pickets each of which is 1/2 14 Jan 2005, 11:18
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OA is E.

The questions asks for the length in feet and NOT inches.
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A straight picket fence is composed of x pickets each of which is 1/2 23 Feb 2015, 06:28
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Quote:
A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, what is the total length of the fence in feet?

A) 13x/2
B) (13x/2)-6
C) 13x/24
D) (13x+1)/24
E) (13x-12)/24
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There are two ways of doing this question. I will be making separate posts for that.
Please give kudos to the one that you like better.

Use the options

Assume there are 2 pickets. (x = 2)
Total length (in inches) = 1/2 + 6 + 1/2 = 7
Length (in feet) = 7/12
Put x = 2 in the options, we should get the value as 7/12
A) 13x/2 = 13 (incorrect)
B) (13x/2)-6 = 13 - 6 = 7 (incorrect)
C) 13x/24 = 13/12 (incorrect)
D) (13x+1)/24 = 14/24 = 7/12 (may be correct)
E) (13x-12)/24 = 14/24 = 7/12 (may be correct)

So now we are down to two options D & E.

Assume there are 3 pickets. (x = 3)
Total length (in inches) = 1/2 + 6 + 1/2 + 6 + 1/2 = 13.5
Length (in feet) = 13.5/12 = 27/24 = 9/8
Put x = 3 in the options, we should get the value as 9/8
We only need to check with options D & E
D) (13x+1)/24 = (39 + 1)/24 = 40/24 = 5/3 (Incorrect)
E) (13x-12)/24 = (39 - 12)/24 = 27/24 = 9/8 (Correct)

So, Correct Answer: E
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A straight picket fence is composed of x pickets each of which is 1/2 23 Feb 2015, 06:31
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Quote:
A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, what is the total length of the fence in feet?

A) 13x/2
B) (13x/2)-6
C) 13x/24
D) (13x+1)/24
E) (13x-12)/24
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There are two ways of doing this question. I will be making separate posts for that.
Please give kudos to the one that you like better.

Calculate the answer

For x fences, the length will be x/2 inches.
There will be (x-1) spaces between them.
The length of the spaces will be 6(x-1)
Total length (in inches) = x/2 + 6(x-1) = x/2 + 6x - 6 = (13x - 12)/2
Total length (in feet) = (13x - 12)/24
Correct Answer: E
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A straight picket fence is composed of x pickets each of which is 1/2 23 Feb 2015, 07:41
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gayathri
A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet?

A. 13x/2
B. 13x/2 - 6
C. 13x/24
D. (13x+1)/24
E. (13x-12)/24
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x pickets mean x-1 fences, each of which is 6 inches wide.

So, the length = \(6(x-1)+\frac{1}{2}*x=\frac{13x-12}{2}\) inches, or \(\frac{13x-12}{24}\) feet.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-straight-picket-fence-is-composed-of-x-pickets-each-of-whi-9552.html

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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
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Bunuel
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