A clothing manufacturer makes jackets that are wool or cotton or

Question

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

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

JeffTargetTestPrep · Accepted Answer

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 = 1,083 jackets, we have enough cotton and wool to produce at least 1,000 jackets.

Answer: C

adiagr · Answer

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

keats · Answer

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.

Bunuel · Answer

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

keats · Answer

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.

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=mdp3WVk-Fd8

CrackverbalGMAT · Answer

Solution:

From Statement(1)  ALONE we can deduce that

3000/4=750 wool jackets

but we are DO NOT KNOW if the remaining 250 jackets can be manufactured by the 2000 pounds of cotton.

(Irrespective of if the manufacturer intends to make cotton only jackets. So the answer to the question stem can be YES/NO.(Thus,  insufficient ) 
​
 From Statement(2)  ALONE we can deduce that

333 cotton jackets can be manufactured

but we DO NOT KNOW if the remaining 667 jackets can b manufactured by the 3000 pounds of wool.

So the answer to the question stem can be YES/NO.(Thus,  insufficient ) 
​
 Combining Both we have

750+333=1033 jackets can be manufactured and we get a definite YES answer to the question stem.

option (C)

Devmitra Sen
GMAT SME

GMATinsight · Answer

Answer: Option C

Video solution by  GMATinsight

https://www.youtube.com/watch?v=4q9y5QPF9_8

AshishDevliyal · Answer

I think it is a poorly worded question 
statement 1 says about wool and clearly says no cotton is required for those jackets.
Now since statement 1 is seen in isolation why would we assume about cotton jackets or whatever the cotton is being used for.
if you consider cotton jackets also then by that logic you must also consider the jackets made by combination of wool and cotton which is neither mentioned in statement 1 or 2.

Bunuel · Answer

We are given that the manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. The question asks whether this is  enough wool and cotton  to make at least 1,000 jackets.

Statement (1) implies that the manufacturer can make 750 wool jackets. However, we do not know whether 2,000 pounds of cotton is enough to make the remaining 250 jackets, so we can't be sure. Similarly, statement (2) is not sufficient on its own.

Together, however, we know that the manufacturer can make 750 wool jackets and 333 cotton jackets, totaling 1,083 jackets. Thus, the answer to the question is YES: manufacturer has enough wool and cotton to make at least 1,000 jackets.

Additionally, note that this is an official question, so its wording is as good as it gets.

denny12233 · Answer

But what if we were to make 1000 wool or 1000 cotton jackets, that will not be enough. 
If we have one case says enough(750wool + 333 cotton) and the other case not enough (1000 wool or 1000 cotton) then it is not certain if it will be enough no ? 
Why is it not E then, I have a hard time thinking it through ...

A clothing manufacturer makes jackets that are wool or cotton or

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A clothing manufacturer makes jackets that are wool or cotton or

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