It is currently 17 Nov 2017, 13:52

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

Hide Tags

Intern
Joined: 11 Apr 2012
Posts: 38

Kudos [?]: 84 [2], given: 93

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

Show Tags

27 Oct 2012, 01:21
2
KUDOS
10
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:28) correct 35% (01:47) wrong based on 473 sessions

HideShow timer Statistics

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. Kudos [?]: 84 [2], given: 93 Intern Joined: 12 Apr 2012 Posts: 14 Kudos [?]: 5 [1], given: 7 GMAT 1: 740 Q49 V42 Re: There are three varieties of sugar in a store [#permalink] Show Tags 27 Oct 2012, 17:02 1 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.

Kudos [?]: 5 [1], given: 7

Intern
Status: Fighting to kill GMAT
Joined: 23 Sep 2012
Posts: 33

Kudos [?]: 20 [0], given: 233

Location: United States
Schools: Duke '16
GPA: 3.8
WE: General Management (Other)
Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink]

Show Tags

06 Nov 2012, 02:15
4
This post was
BOOKMARKED
GMATBaumgartner wrote:
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 $150. (1) Given: A+B = 20 kg When A=10kg , B= 10kg When A = 11 kg, B = 9 kg. Hence, not sufficient. (2) Assume cost of 20 kg =$ 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

Kudos [?]: 20 [0], given: 233

Senior Manager
Joined: 22 Nov 2010
Posts: 286

Kudos [?]: 179 [0], given: 75

Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink]

Show Tags

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 Kudos [?]: 179 [0], given: 75 Non-Human User Joined: 09 Sep 2013 Posts: 15703 Kudos [?]: 281 [0], given: 0 Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink] Show Tags 04 Jul 2014, 01:33 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Kudos [?]: 281 [0], given: 0 Intern Joined: 08 Sep 2014 Posts: 25 Kudos [?]: 17 [0], given: 53 GMAT Date: 07-11-2015 GPA: 2.9 WE: Account Management (Computer Software) There are three varieties of sugar in a store. Sugar (S1) [#permalink] Show Tags 23 May 2015, 09:20 2nd statement: 6x + 9x > 150 15x >150 x > 10 Therefore, because S3 consists of only 20 kgs you have sufficient information to prove that one of the quantities (S1 or S2, it does not matter which one) is bigger than the other. Kudos [?]: 17 [0], given: 53 Manager Joined: 08 Oct 2013 Posts: 52 Kudos [?]: 17 [0], given: 16 Re: There are three varieties of sugar in a store. Sugar (S1) [#permalink] Show Tags 26 Jun 2015, 11:41 GMATBaumgartner wrote: 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.

State 1: is clearly insufficient

State 2: Total cost is > 150, implies that:
6a+9b > 150 & we know that a + b = 20
2a + 3b >50 ; substituting for a and simplifying will give us a>10
& since a + b is 20, b has to be less than a.

Kudos [?]: 17 [0], given: 16

Non-Human User
Joined: 09 Sep 2013
Posts: 15703

Kudos [?]: 281 [0], given: 0

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

Show Tags

29 Oct 2016, 12:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 281 [0], given: 0

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 442 [0], given: 49

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

Show Tags

13 Nov 2016, 10:31
GMATBaumgartner wrote:
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.

IF A>B therefore the price per kilogram of mixture will be closer to 6 i.e. 6<= price per kg of mixture<7.5 or the weight of A in the mixture >10

from 1

1) clearly insuff

from 2

the cost /kg of mix = 150/20 = 7.5 thus A=B.... SUFF

B

Kudos [?]: 442 [0], given: 49

Re: There are three varieties of sugar in a store. Sugar (S1)   [#permalink] 13 Nov 2016, 10:31
Display posts from previous: Sort by