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A clothing manufacturer makes jackets that are wool or cotton or a co

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A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 15 Jun 2016, 02:24
6
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A
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C
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A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?

1) Each wool jacket requires 4 pounds of wool, and no cotton
2) Each cotton jacket requires 6 pounds of cotton, and no wool

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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 15 Jun 2016, 03:37
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AbdurRakib wrote:
A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?

1) Each wool jacket requires 4 pounds of wool, and no cotton
2) Each cotton jacket requires 6 pounds of cotton, and no wool



Statement 1: Each wool jacket requires 4 pounds of wool, and no cotton

Manufacturer has 3000 pounds of wool. So she can make (3000/4) = 750 woollen jackets. He has some cotton also but we do not know how much cotton is used in one jacket.
Not sufficient.


Statement 2: Each cotton jacket requires 6 pounds of cotton, and no wool

Manufacturer has 2000 pounds of wool. So she can make (2000/6) = 330+ cotton jackets. He has some wool also but we do not know how much wool is used in one jacket.
Not sufficient.

Combining these two statements

he can make 750+(330+) jackets which is more than 1000.

We get a confirmed answer. So sufficient.

C is the answer
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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 14 Jul 2016, 22:16
Bunuel Can you please help here?

I am not sure as to why C can be the answer to this question. The stem doesn't clarify what sort of a jacket? Is it a wollen jacket or a cotton jacket or a combination of both?

If it is wollen or cotton, then it makes sense to me and the answer can be yes (3000/4 + 2000/6)
If it is both, then we do not have sufficient information.
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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 14 Jul 2016, 22:23
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Keats wrote:
Bunuel Can you please help here?

I am not sure as to why C can be the answer to this question. The stem doesn't clarify what sort of a jacket? Is it a wollen jacket or a cotton jacket or a combination of both?

If it is wollen or cotton, then it makes sense to me and the answer can be yes (3000/4 + 2000/6)
If it is both, then we do not have sufficient information.


The question asks about any kinds of jackets - wool or cotton or a combination of wool and cotton.
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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 14 Jul 2016, 22:26
Bunuel wrote:

The question asks about any kinds of jackets - wool or cotton or a combination of wool and cotton.


Ah! I got it. They played with the language here. As long as it gives me the answer that there can be at least 1000 jackets that can be made, I think the answer to the question is sufficiently answered. So, option C definitely makes sense.
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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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New post 06 Dec 2016, 17:17
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AbdurRakib wrote:
A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?

1) Each wool jacket requires 4 pounds of wool, and no cotton
2) Each cotton jacket requires 6 pounds of cotton, and no wool


We are given that a clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton, and that the manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. We need to determine whether there is enough cotton and wool to produce 1,000 jackets.

Statement One Alone:

Each wool jacket requires 4 pounds of wool, and no cotton.

Since 3000/4 = 750, this means the manufacturer can make 750 wool-only jackets. However, since we do not know how much cotton is needed to produce a cotton jacket, we do not have enough information to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Each cotton jacket requires 6 pounds of cotton, and no wool.

Since 2000/6 = 333⅓, the manufacturer can make 333 cotton-only jackets. However, since we do not know how much wool is needed to produce a wool jacket, we do not have enough information to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two, we know that each wool jacket requires 4 pounds of wool and no cotton, and that each cotton jacket requires 6 pounds of cotton and no wool.

From the analysis of each statement, we know that the manufacturer can make a maximum of 750 wool jackets and 333 cotton jackets. Since we have enough cotton and wool to produce 750 + 333 = 1,033 jackets, we have enough cotton and wool to produce at least 1,000 jackets.

Answer: C
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Re: A clothing manufacturer makes jackets that are wool or cotton or a co  [#permalink]

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Re: A clothing manufacturer makes jackets that are wool or cotton or a co &nbs [#permalink] 31 Dec 2017, 01:40
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