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# Material A costs 3 per kilogram, and material B costs $5 per  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Manager Joined: 01 Jun 2006 Posts: 183 Location: United States Schools: Haas '15 (M) GMAT 1: 750 Q50 V40 Followers: 3 Kudos [?]: 27 [0], given: 3 Material A costs 3 per kilogram, and material B costs$5 per [#permalink]

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19 Dec 2007, 18:45
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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

I get that I need to set up 10K = 3x + 5y < 40

The answer is B, but I can't figure out how. Thanks!
CEO
Joined: 29 Mar 2007
Posts: 2562
Followers: 21

Kudos [?]: 453 [0], given: 0

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19 Dec 2007, 20:06
swbluedevil 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 get that I need to set up 10K = 3x + 5y < 40

The answer is B, but I can't figure out how. Thanks!

x+y=10

3x+5y<40> y=10-x

3x+5(10-x)<40> 3x+50-5x<40

-2x<10> x>5 so x is greater than y. suff.

I slipped up on this one too, u really should check ur work on DS probs, b/c of stupid things like this.
SVP
Joined: 28 Dec 2005
Posts: 1561
Followers: 3

Kudos [?]: 158 [0], given: 2

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19 Dec 2007, 20:32
hold on a sec ... look at statement 1, which says y>4

This means y=5,6,7,8 or 9 ... which in turn means that x=5,4,3,2 or 1 . Isnt this enough to say that x will never be larger than y ?
Manager
Joined: 01 Jun 2006
Posts: 183
Location: United States
Schools: Haas '15 (M)
GMAT 1: 750 Q50 V40
Followers: 3

Kudos [?]: 27 [0], given: 3

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19 Dec 2007, 21:04
I don't think you can make the assumption that x and y are integers. y could be 4.5 and x could be 5.5 in which case x+y = 10 and x >y. Or you could have y =5, x = 5 with x+y=10 and x=y => x is not > y.
SVP
Joined: 04 May 2006
Posts: 1897
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1122 [0], given: 1

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19 Dec 2007, 22:52
1) not sufficient
2) sufficient: 3x+5y<40 =4.10=4(x+y)
3x+5y<4x+4y
19 Dec 2007, 22:52
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