There are three varieties of sugar in a store. Sugar (S1)

Oldest

Best Reply

Author

Message

TAGS:

Intern

Joined: 11 Apr 2012

Posts: 42

Followers: 0

Kudos [?]: 1 [0], given: 93

There are three varieties of sugar in a store. Sugar (S1) [#permalink]

27 Oct 2012, 01:21

00:00

Question Stats:

51% (02:17) correct

48% (01:39) wrong

based on 2 sessions

There are three varieties of sugar in a store. Sugar (S1) costs $6 per kilogram and sugar (S2) costs $9 per kilogram. Sugar (S1) is mixed with Sugar (S2) and a new variety of Sugar (S3) is formed. If 20 kilograms of Sugar (S3) consists of A kilogram of Sugar (S1) and B kilogram of Sugar (S2), is A > B ?

(1) A > 9
(2) The cost of 20 kilogram of Sugar (S3) is more than $150.

[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Oct 2012, 05:51, edited 1 time in total.

Renamed the topic and edited the question.

Intern

Joined: 12 Apr 2012

Posts: 14

GMAT 1: 740 Q49 V42

Followers: 0

Kudos [?]: 4 [1] , given: 7

Re: There are three varieties of sugar in a store [#permalink]

27 Oct 2012, 17:02

This post received
KUDOS

(1) Insufficient. A could be, for example, 10 or 11. If A = 10, then B=10 and A is not bigger than B. However, if A = 11, then B = 9 and A>B.

(2) Sufficient. If you would have to pay $150 for 20kg, then 1kg costs 150/20 = $7.50. Note that this would be exactly the price for 1kg if S3 consisted of equal parts of S1 and S2, since (6+9)/2 = 7.5. Since the statement tells us that the price per kg for S3 is greater than $7.50 we know that there has to be more of the more expensive sugar (= S2) in the mixture. This means A<B and we have our answer.

Intern

Status: Fighting to kill GMAT

Joined: 23 Sep 2012

Posts: 34

Location: United States

Concentration: International Business, General Management

Schools: Duke '16

GPA: 3.8

WE: General Management (Other)

Followers: 0

Kudos [?]: 8 [0], given: 38

Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink]

06 Nov 2012, 02:15

GMATBaumgartner wrote:

(1) Given: A+B = 20 kg
When A=10kg , B= 10kg
When A = 11 kg, B = 9 kg.
Hence, not sufficient.

(2) Assume cost of 20 kg = $ 150.
Then, cost of 1 kg = \frac{150}{20}= $7.5
Hence the cost of 1 kg of S3 is $7.5.

The cost of 1 kg can also be expressed as \frac{Total Cost}{Total Weight}
or, \frac{6A+9B}{A+B}= 7.5

7.5 is the weighted average between 6 and 9, and is equidistant from both 6 and 9. This means that when the cost is equal to $150, then A = B. But if it is greater than $ 150, then the balance of weighted average will shift towards B, and hence, B>A. Sufficient.
_________________

Kudos is the currency of appreciation.

You can have anything you want if you want it badly enough. You can be anything you want to be and do anything you set out to accomplish, if you hold to that desire with the singleness of purpose. ~William Adams

Many of life's failures are people who did not realize how close to success they were when they gave up. ~Thomas A. Edison

Wir müssen wissen, Wir werden wissen. (We must know, we will know.) ~Hilbert

Senior Manager

Joined: 22 Nov 2010

Posts: 259

Location: India

Schools: LBS '14 (S), INSEAD Jan '14, Said (I), Judge (S)

GMAT 1: 670 Q49 V33

WE: Consulting (Telecommunications)

Followers: 5

Kudos [?]: 20 [0], given: 68

Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink]

19 Feb 2013, 01:17

There are three varieties of sugar in a store. Sugar (S1) costs $6 per kilogram and sugar (S2) costs $9 per kilogram. Sugar (S1) is mixed with Sugar (S2) and a new variety of Sugar (S3) is formed. If 20 kilograms of Sugar (S3) consists of A kilogram of Sugar (S1) and B kilogram of Sugar (S2), is A > B ?

(1) A > 9. A=B if A=10 or A>B
(2) The cost of 20 kilogram of Sugar (S3) is more than $150. IF A=B=10 then , we can get cost = 150 . But cost is more than 150, so B>A.
_________________

YOU CAN, IF YOU THINK YOU CAN

Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink] 19 Feb 2013, 01:17

		Similar topics	Author	Replies	Last post
Similar Topics:	15	One fourth of a solution that was 10 percent sugar by weight	mbassmbass04	9	18 Oct 2004, 08:31
	1	In addition to those of gasoline and sugar, the consumer	laxieqv	9	19 Sep 2007, 04:23
		CEO, Global Sugars; Setting up a Beet sugar plant in civil	gmatcracker2010	20	04 Jun 2010, 03:10
	4	A solution of 60 ounces of sugar and water is 20% sugar. How	Madelaine88	9	04 Mar 2011, 11:18
		A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5	chiccufrazer1	2	08 Jan 2013, 13:08

There are three varieties of sugar in a store. Sugar (S1)

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

There are three varieties of sugar in a store. Sugar (S1)

There are three varieties of sugar in a store. Sugar (S1)

Main navigation

GMAT Resources

Partners

MBA Resources