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
Official Guide question
Answer: C
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A clothing manufacturer makes jackets that are wool or cotto
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jjjinapinch
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Hi jjjinapinch,
We're told that 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. We're asked if this is enough wool and cotton to make AT LEAST 1,000 jackets. This is a YES/NO question.
This question can be solved with a little math, a little logic and TESTing VALUES. It's worth noting that the question doesn't state what the 1,000 jackets have to be made of; it just asks if there's enough material to make (any) 1,000 jackets.
1) Each wool jacket requires 4 pounds of wool, and no cotton
Fact 1 gives us the requirement for making a wool jacket: 4 pounds of wool. With the 3,000 pounds of wool on hand, we can create 3000/4 = 750 wool jackets. We don't know what is required to make the cotton jackets though (or the 'mix' jackets).
IF... each cotton jacket requires 2 pounds of cotton, then we could make 2000/2 = 1000 cotton jackets and a total of 1750 jackets - and the answer to the question would be YES.
IF... each cotton jacket requires 10 pounds of cotton, then we could make 2000/10 = 200 cotton jackets and a total of 950 jackets - and the answer to the question would be NO.
Fact 1 is INSUFFICIENT
2) Each cotton jacket requires 6 pounds of cotton, and no wool
The information in Fact 2 is similar to the information in Fact 1 - but it gives us the requirement for a cotton jacket: 6 pounds of cotton. Thus, with the materials on hand, we can create 2000/6 = 333 cotton jackets.
IF... each wool jacket requires 2 pounds of wool, then we could make 3000/2 = 1500 wool jackets and a total of 1833 jackets - and the answer to the question would be YES.
IF... each wool jacket requires 10 pounds of wool, then we could make 3000/10 = 300 wool jackets and a total of 633 jackets - and the answer to the question would be NO.
Fact 2 is INSUFFICIENT
Combined, we know that w can make....
750 wool jackets and 333 cotton jackets, so we CAN make a total of 1083 jackets and the answer to the question is ALWAYS YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that 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. We're asked if this is enough wool and cotton to make AT LEAST 1,000 jackets. This is a YES/NO question.
This question can be solved with a little math, a little logic and TESTing VALUES. It's worth noting that the question doesn't state what the 1,000 jackets have to be made of; it just asks if there's enough material to make (any) 1,000 jackets.
1) Each wool jacket requires 4 pounds of wool, and no cotton
Fact 1 gives us the requirement for making a wool jacket: 4 pounds of wool. With the 3,000 pounds of wool on hand, we can create 3000/4 = 750 wool jackets. We don't know what is required to make the cotton jackets though (or the 'mix' jackets).
IF... each cotton jacket requires 2 pounds of cotton, then we could make 2000/2 = 1000 cotton jackets and a total of 1750 jackets - and the answer to the question would be YES.
IF... each cotton jacket requires 10 pounds of cotton, then we could make 2000/10 = 200 cotton jackets and a total of 950 jackets - and the answer to the question would be NO.
Fact 1 is INSUFFICIENT
2) Each cotton jacket requires 6 pounds of cotton, and no wool
The information in Fact 2 is similar to the information in Fact 1 - but it gives us the requirement for a cotton jacket: 6 pounds of cotton. Thus, with the materials on hand, we can create 2000/6 = 333 cotton jackets.
IF... each wool jacket requires 2 pounds of wool, then we could make 3000/2 = 1500 wool jackets and a total of 1833 jackets - and the answer to the question would be YES.
IF... each wool jacket requires 10 pounds of wool, then we could make 3000/10 = 300 wool jackets and a total of 633 jackets - and the answer to the question would be NO.
Fact 2 is INSUFFICIENT
Combined, we know that w can make....
750 wool jackets and 333 cotton jackets, so we CAN make a total of 1083 jackets and the answer to the question is ALWAYS YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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Mo2men
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Dear Rich,[email protected] wrote:Hi jjjinapinch,
We're told that 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. We're asked if this is enough wool and cotton to make AT LEAST 1,000 jackets. This is a YES/NO question.
This question can be solved with a little math, a little logic and TESTing VALUES. It's worth noting that the question doesn't state what the 1,000 jackets have to be made of; it just asks if there's enough material to make (any) 1,000 jackets.
1) Each wool jacket requires 4 pounds of wool, and no cotton
Fact 1 gives us the requirement for making a wool jacket: 4 pounds of wool. With the 3,000 pounds of wool on hand, we can create 3000/4 = 750 wool jackets. We don't know what is required to make the cotton jackets though (or the 'mix' jackets).
IF... each cotton jacket requires 2 pounds of cotton, then we could make 2000/2 = 1000 cotton jackets and a total of 1750 jackets - and the answer to the question would be YES.
IF... each cotton jacket requires 10 pounds of cotton, then we could make 2000/10 = 200 cotton jackets and a total of 950 jackets - and the answer to the question would be NO.
Fact 1 is INSUFFICIENT
2) Each cotton jacket requires 6 pounds of cotton, and no wool
The information in Fact 2 is similar to the information in Fact 1 - but it gives us the requirement for a cotton jacket: 6 pounds of cotton. Thus, with the materials on hand, we can create 2000/6 = 333 cotton jackets.
IF... each wool jacket requires 2 pounds of wool, then we could make 3000/2 = 1500 wool jackets and a total of 1833 jackets - and the answer to the question would be YES.
IF... each wool jacket requires 10 pounds of wool, then we could make 3000/10 = 300 wool jackets and a total of 633 jackets - and the answer to the question would be NO.
Fact 2 is INSUFFICIENT
Combined, we know that w can make....
750 wool jackets and 333 cotton jackets, so we CAN make a total of 1083 jackets and the answer to the question is ALWAYS YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This question stimulate my thinking.
If Statement 1 says: each jacket is made of 4 pound of wool and 2 pound of cotton. How can we calculate the number of jackets could be made of available material??
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Hi Mo2men,
If Fact 1 was changed to state that "each 'mixed' jacket required 4 pounds of wool AND 2 pounds of cotton", then we could still determine the maximum number of jackets that could be made under these conditions - we would just have to perform two calculations and use the smaller result.
Assuming that we had an unlimited amount of cotton, with 3,000 pounds of wool, we would have enough of that 'ingredient' to make 3000/4 = 750 mixed jackets (but no more)
Assuming that we had an unlimited amount of wool, with 2,000 pounds of cotton, we would have enough of that 'ingredient' to make 2000/2 = 1000 mixed jackets (but no more)
We don't have unlimited amounts of cotton and wood though, so given the 'limits' on each ingredient, the most 'mixed' jackets that we could make would be 750.
GMAT assassins aren't born, they're made,
Rich
If Fact 1 was changed to state that "each 'mixed' jacket required 4 pounds of wool AND 2 pounds of cotton", then we could still determine the maximum number of jackets that could be made under these conditions - we would just have to perform two calculations and use the smaller result.
Assuming that we had an unlimited amount of cotton, with 3,000 pounds of wool, we would have enough of that 'ingredient' to make 3000/4 = 750 mixed jackets (but no more)
Assuming that we had an unlimited amount of wool, with 2,000 pounds of cotton, we would have enough of that 'ingredient' to make 2000/2 = 1000 mixed jackets (but no more)
We don't have unlimited amounts of cotton and wood though, so given the 'limits' on each ingredient, the most 'mixed' jackets that we could make would be 750.
GMAT assassins aren't born, they're made,
Rich
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Scott@TargetTestPrep
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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.jjjinapinch 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 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 = 333 1/3, 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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