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

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Senior Manager
Joined: 04 Jun 2007
Posts: 346
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Material A costs $3 per kilogram, and material B costs$5 [#permalink]  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. Intern Joined: 05 Jun 2003 Posts: 48 Followers: 0 Kudos [?]: 0 [0], given: 0 Re: DS: Mixture [#permalink] 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.
Senior Manager
Joined: 04 Jun 2007
Posts: 346
Followers: 1

Kudos [?]: 20 [0], given: 0

Re: DS: Mixture [#permalink]  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 !! Senior Manager Joined: 29 Nov 2006 Posts: 321 Location: Orange County, CA Followers: 1 Kudos [?]: 66 [0], given: 0 [#permalink] 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. GMAT Club Legend Joined: 07 Jul 2004 Posts: 5063 Location: Singapore Followers: 26 Kudos [?]: 234 [0], given: 0 [#permalink] 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 Director Joined: 08 Jun 2007 Posts: 583 Followers: 2 Kudos [?]: 84 [0], given: 0 Re: DS: Mixture [#permalink] 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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