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

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Senior Manager
Joined: 28 Jun 2007
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Material A costs $3 per kilogram, and material B costs$5 [#permalink]

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14 Sep 2007, 12:42
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100% (03:21) correct 0% (00:00) wrong based on 1 sessions

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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. Director Joined: 17 Sep 2005 Posts: 924 Followers: 3 Kudos [?]: 60 [0], given: 0 Re: DS - Set 5, Q3 Materials and the costs [#permalink] ### Show Tags 14 Sep 2007, 22:12 gluon 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 B is sufficient.

As per (2),

3x + 5y < 40 -------------- (A)

And as per problem,

x + y = 10

Let's say x > y then,

Possible values of x and y would be (taking only whole numbers)

If x = 6 then y= 4
=> 3x+5y = 38 which is less than 40 so satisfying (A)

If x = 7 then y= 3
=> 3x+5y = 36 which is less than 40 so satisfying (A)

and so on......

Hence B.

- Brajesh
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Re: DS - Set 5, Q3 Materials and the costs [#permalink]

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14 Sep 2007, 23:52
gluon 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. S1: For some reason, maybe its burn out, I can't see why S1 is insuff. if y>4 then Y must be y>=5 (Assuming X and Y must be integers). X+Y=10 If Y=5. Then X is not greater than 5 b/c 5+5=10 5not greater than 5. So. NO If Y =6 X is not greater than Y... Again NO. However, if we are allowed to say X and Y can be mixed numbers (4.5, 4.6, etc...) then S1 IS insuff. S2: 3(x)+5(y)<40. So again assuming these must be integers the number 3(x)+5(y) <=to 38. Can't be 39 b/c 3(x)+5(y) (assuming x and y are integers) will never add up to 39 because X+Y must equal 10. So in this case 3*6+5*4 = 38 X>Y Yes. Now try to maximize Y w/o exceeding 39. 3(5) +5(5) = too big (15+25=40) 3(4) +5(6) = too big (12+30=42) 3(3) +5(7) = too big (9+35=44) 3(2) +5(8) = too big (6+40 =46) Y must be less than 5 so B is suff. I say D for this one assuming X and Y have to be integers. Please let me know about 1. I am a bit braindead right now. Also 1 last thing. I thougt the statements werent suppose to contradict each other. S1: y>4? S2: y must be 4 or less??? Director Joined: 14 Jan 2007 Posts: 777 Followers: 2 Kudos [?]: 111 [0], given: 0 [#permalink] ### Show Tags 15 Sep 2007, 04:13 Should be 'B'. Stem says x + y = 10 Stmt1: y > 4 x can be more or less than y. So NOT SUFF Stmt2: 3x + 5y <40>5 If x greater than 5, then y has to be less than 5 So SUFF. Senior Manager Joined: 27 Aug 2007 Posts: 253 Followers: 1 Kudos [?]: 11 [0], given: 0 [#permalink] ### Show Tags 15 Sep 2007, 07:08 Agree with E Soryy put another comment, for other thread... made a mistake Here I think Ans is B Last edited by Ferihere on 15 Sep 2007, 09:23, edited 1 time in total. Senior Manager Joined: 28 Jun 2007 Posts: 319 Followers: 1 Kudos [?]: 32 [0], given: 0 Re: DS - Set 5, Q3 Materials and the costs [#permalink] ### Show Tags 15 Sep 2007, 07:40 GMATBLACKBELT wrote: gluon 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.

S1:

For some reason, maybe its burn out, I can't see why S1 is insuff.

(1) is insufficient because of the fact x + y = 10
So if y > 4, then y = 5, x = 5 OR y = 6, x = 4

The OA is B.
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Re: DS - Set 5, Q3 Materials and the costs [#permalink]

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15 Sep 2007, 10:15
gluon wrote:
GMATBLACKBELT wrote:
gluon 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