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A construction company will produce identical metal supports in the sh

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A construction company will produce identical metal supports in the sh  [#permalink]

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New post 13 Jul 2018, 00:05
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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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Re: A construction company will produce identical metal supports in the sh  [#permalink]

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New post 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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A construction company will produce identical metal supports in the sh  [#permalink]

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New post 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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Re: A construction company will produce identical metal supports in the sh  [#permalink]

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New post 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 &nbs [#permalink] 17 Aug 2018, 05:09
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