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A construction company will produce identical metal supports in the sh

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Math Expert
Joined: 02 Sep 2009
Posts: 53709
A construction company will produce identical metal supports in the sh  [#permalink]

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13 Jul 2018, 00:05
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Difficulty:

15% (low)

Question Stats:

82% (01:19) correct 18% (01:05) wrong based on 61 sessions

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A construction company will produce identical metal supports in the shape of a right triangle with legs of length 3 feet and 4 feet. The three sides of each triangular support are to be constructed of metal stripping. If the company has a total of 6,000 feet of metal stripping and there is no waste of material in the construction of the supports, what is the greatest possible number of supports that the company can produce?

A. 428
B. 500
C. 545
D. 600
E. 1,000

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Joined: 10 Aug 2009
Posts: 65
Re: A construction company will produce identical metal supports in the sh  [#permalink]

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13 Jul 2018, 00:08
the perimeter of the triangle will be 5+4+3=12 and so total pieces that can be made will be 6000/12= 500

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Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 966
WE: Supply Chain Management (Energy and Utilities)
A construction company will produce identical metal supports in the sh  [#permalink]

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13 Jul 2018, 00:41
Bunuel wrote:
A construction company will produce identical metal supports in the shape of a right triangle with legs of length 3 feet and 4 feet. The three sides of each triangular support are to be constructed of metal stripping. If the company has a total of 6,000 feet of metal stripping and there is no waste of material in the construction of the supports, what is the greatest possible number of supports that the company can produce?

A. 428
B. 500
C. 545
D. 600
E. 1,000

greatest possible number of supports that the company can produce=Total feet of metal stripping/Total feet of one right angled triangle shaped support=$$\frac{6000}{12}=500$$

Ans.(B)
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Director
Joined: 20 Sep 2016
Posts: 630
Location: India
Concentration: Strategy, Operations
GPA: 3.95
WE: Operations (Real Estate)
Re: A construction company will produce identical metal supports in the sh  [#permalink]

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17 Aug 2018, 05:09
Bunuel isn't this question in a way flawed? As we are asked to maximize the number of supports we should have choices to atleast make this problem worth solving or worth tagging it as MAX/MIN !

IMO there shouldn't be the mention of RIGHT TRIANGLE support as this narrows down the choice of the third length to 5.

If the support were not right triangle we would have >>

1< third side< 7 . Here atleast we could use a little bit of our brains to maximize the no. Of supports by minimising perimeter of one support.

chetan2u agree?

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Re: A construction company will produce identical metal supports in the sh   [#permalink] 17 Aug 2018, 05:09
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