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Material A costs $3 per kilogram, and material B costs $5

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Senior Manager
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Material A costs $3 per kilogram, and material B costs $5 [#permalink] New post 19 Jul 2007, 05:14
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Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x >y?

(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40.
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Re: DS: Mixture [#permalink] New post 19 Jul 2007, 06:13
sumande wrote:
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x >y?

(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40.


I think the answer is B.

Question: Is x larger than y?

We know that
x+y = 10. So x=10-y
Cost of K=3x+5y

Stmt 1: y could equal 5, so x not larger than y. Or y could equal 6, then x is not larger than y. INSUFF.

Stmt 2: 3x+5y<40.
3(10-y)+5y<40
2y<10
y<5. Since y<5, x must be larger than 5. SUFF.
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Re: DS: Mixture [#permalink] New post 19 Jul 2007, 07:04
umbdude wrote:
sumande wrote:
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x >y?

(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40.


I think the answer is B.

Question: Is x larger than y?

We know that
x+y = 10. So x=10-y
Cost of K=3x+5y

Stmt 1: y could equal 5, so x not larger than y. Or y could equal 6, then x is not larger than y. INSUFF.

Stmt 2: 3x+5y<40.
3(10-y)+5y<40
2y<10
y<5. Since y<5, x must be larger than 5. SUFF.


Thanks a lot. OA is B.
Somehow I missed x+y=10 !! :shock:
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 [#permalink] New post 19 Jul 2007, 15:29
Question:
Is X>Y? This is a "Yes" or "No" DS question
Given:
X + Y = 10
3X + 5Y = K

statement 1:
Y > 4.

If greater than 4, it APPEARS that Y would have to be 5, 6, 7, 8, 9, or 10. If that were the case, then X would APPEAR to be 5, 4, 3, 2, 1 or 0. In any case, this would APPEAR sufficient to answer "Is X > Y". Answer: No, since it appears X is either equal to or less than Y.
HOWEVER, statement 1 is insufficient because it does not account for partial numbers. What if Y is 4.5 and X is 5.5? Then yes, X is indeed greater than Y.

statement 2:
K < 40.

3X + 5Y < 40
combine with given X + Y = 10
substitute X = 10 - Y

3(10 - Y) + 5Y < 40
30 - 3Y + 5Y < 40
2Y < 10
Y <5> Y? YES. Sufficient.
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 [#permalink] New post 19 Jul 2007, 18:47
10 = x + y

St1:
y > 4. So minimum y is slightly over 4, say 4.1. Then x could be greater or less than y depending on what value of y is. Insufficient.

St2:
3x+5y < 40. we know x = 10-y, so we can work out limits of y and limits of x. So 4<y<5> y.

Sufficient.

Ans B
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Re: DS: Mixture [#permalink] New post 20 Jul 2007, 07:22
sumande wrote:
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x >y?

(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40.



While I agree with x+y= 10 . But it says material consists of A and B which made me belief that that it may consist some other material also . So I started with x + y < 10 and was leading no where but E. Anyway if x+y = 10 , solution is pretty simple.
Re: DS: Mixture   [#permalink] 20 Jul 2007, 07:22
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