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# What is the maximum number of 1 3/4 foot pieces of wood that can be cu

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Math Expert
Joined: 02 Sep 2009
Posts: 64242
What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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12 Jan 2015, 10:10
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Difficulty:

55% (hard)

Question Stats:

60% (01:32) correct 40% (01:41) wrong based on 157 sessions

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What is the maximum number of $$1 \frac{3}{4}$$ foot pieces of wood that can be cut from 4 pieces of wood that are 12 feet in length?

(A) 6
(B) 14
(C) 21
(D) 24
(E) 27

Kudos for a correct solution.

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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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12 Jan 2015, 10:35
2

Each piece of wood can be cut in 6 pieces of 1.75 foot each. We get a remainder of 1.5 foot, so that doesn't count. 4 pieces of wood makes 24 1.75 foot pieces.
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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12 Jan 2015, 10:50
1

Each piece of wood needs to be calculated separately as it isn't a continuous piece of wood.

So we have:
4 (12/1.75)
4 (6) - with a remainder but that doesn't count since it isn't 1.75
24 - D
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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12 Jan 2015, 11:29
1
lets take one 12 feet wood.

we need to find max number of 7/4 feet length wood in one 12 feet wood.

with four pieces of 7/4 feet length wood, we would cover 7 feet of 12 leaving 5 remaining feet.
out of 5 feet we can get 2 more 7/4 foot. that is total of 6 per each 12 feet wood giving 24 for 4 pieces
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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13 Jan 2015, 23:31
2

$$1\frac{3}{4} = \frac{7}{4}$$

Length available per piece $$= 12 = \frac{48}{4}$$

Denominators remaining same, number of pieces $$= \frac{48}{7} \approx{6}$$ (Leave the decimal OR upper approximation)

Total pieces from 4 big pieces = 6*4 = 24
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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19 Jan 2015, 01:26
Bunuel wrote:
What is the maximum number of $$1 \frac{3}{4}$$ foot pieces of wood that can be cut from 4 pieces of wood that are 12 feet in length?

(A) 6
(B) 14
(C) 21
(D) 24
(E) 27

Kudos for a correct solution.

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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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28 Jun 2017, 11:04

we can make 6 pieces from each of the 4 pieces of wood. 12/1.75 = 6 (integral value)

so total 6*4 =24
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu  [#permalink]

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09 Aug 2019, 11:17
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Re: What is the maximum number of 1 3/4 foot pieces of wood that can be cu   [#permalink] 09 Aug 2019, 11:17