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# Julian bought 6 kilograms of cheese from each of Deli A and

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Julian bought 6 kilograms of cheese from each of Deli A and [#permalink]  24 Jun 2007, 19:46
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22% (02:32) correct 78% (02:34) wrong based on 87 sessions
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Julian bought 6 kilograms of cheese from each of Deli A and Deli B. At the prices given in the table above, did he spend more money on cheese at Deli A or at Deli B?

(1) The ratio of American to Provolone to Swiss purchased at Deli B was 2 : 7 : 2.
(2) The ratio of American to Provolone to Swiss purchased at Deli A was 6 : 2 : 1.

[Reveal] Spoiler:
[Reveal] Spoiler: OA
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Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink]  24 Jun 2007, 19:59
I would go with C as
Stmt 1: we can find out how much he spent at Deli B but we have no idea about the spending distribution at Deli A....so insufficient

Stmt 2: we can find out how much he spent at Deli A but we have no idea about the spending distribution at Deli B....so insufficient

Stmt 1 + Stmt 2 : sufficient
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Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink]  24 Jun 2007, 20:55
salr15 wrote:

I agree. I don't think you have to even bother solving. the question stem tells us he bought 6 kg of 3 different cheeses at different prices in each store. we just need to know the amount of each type of cheese from each store. I & II together gives us that info.

if you wanted to work it out you would start by:

I: 6 kg divided amoung 11 parts

american is 2/11*6kg = 1 1/11kg of american * $16 etc.. etc.. but going through all of that would waste you at least a minute and a half if not more..you have the information to answer that he either spent more money at A, more money at B, or the same amount at both deli's... the answer itself is irrelevant. hope that helps GMAT Instructor Joined: 04 Jul 2006 Posts: 1269 Location: Madrid Followers: 23 Kudos [?]: 161 [0], given: 0 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 25 Jun 2007, 00:12 Have you noticed that all the prices at Deli A are lower than the corresponding prices at Deli B and (2) says a lot of the 15 dollar cheese is being bought? VP Joined: 08 Jun 2005 Posts: 1147 Followers: 6 Kudos [?]: 133 [0], given: 0 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 25 Jun 2007, 02:25 anonymousegmat wrote: salr15 wrote: Please solve and explain. I agree. I don't think you have to even bother solving. the question stem tells us he bought 6 kg of 3 different cheeses at different prices in each store. we just need to know the amount of each type of cheese from each store. I & II together gives us that info. if you wanted to work it out you would start by: I: 6 kg divided amoung 11 parts american is 2/11*6kg = 1 1/11kg of american *$16

etc.. etc..

but going through all of that would waste you at least a minute and a half if not more..you have the information to answer that he either spent more money at A, more money at B, or the same amount at both deli's... the answer itself is irrelevant.

hope that helps

anonymousegmat, hello

I disagree with you about the need to solve the question - let's assume that you did solve, and found out that in deli A he spend 102 dollar on six kilo of cheese.

Now let's assume that deli B has the following cheese prices:

American - 18
Provolone - 19
Swiss - 20

Julian bought 6 kilo from deli B - so the least he could buy from deli B is 6*18 = 108

That implies the answer is (A) and not (C). doesn't it ?

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Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink]  25 Jun 2007, 06:42
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Statement 1: Deli B Ratio of American:Prov:Swiss = 2:7:2. Therefore Julian bought the same amount Amer and Swiss which means he averaged $18. INSUFF since you don't know anything about the ratio in Deli A. Statement 2: Deli A ratio of A: P:S = 6:2:1 So average would be [6(15) + 2(17) + 19]/9 =$15.88

Since Julian bought the same amount of cheese from both delis, and the cheapest cheese in Deli B is $16, he had to spend more in Deli B. CIO Joined: 09 Mar 2003 Posts: 464 Followers: 2 Kudos [?]: 34 [0], given: 0 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 25 Jun 2007, 08:38 salr15 wrote: correct answer is B. Statement 1: Deli B Ratio of American:Prov:Swiss = 2:7:2. Therefore Julian bought the same amount Amer and Swiss which means he averaged$18. INSUFF since you don't know anything about the ratio in Deli A.

Statement 2: Deli A ratio of A: P:S = 6:2:1

So average would be [6(15) + 2(17) + 19]/9 = $15.88 Since Julian bought the same amount of cheese from both delis, and the cheapest cheese in Deli B is$16, he had to spend more in Deli B.

Yeah, this is right. It's B, not C. It's also not so hard because the ratios in statement 2 are all out of 9, and we're multiplying by 6 pounds, so everything cancels nicely. At that ratio, there's no way to spend as much as if he just purchased 6 pounds of $16 cheese at deli B. Current Student Status: Nothing comes easy: neither do I want. Joined: 12 Oct 2009 Posts: 2801 Location: Malaysia Concentration: Technology, Entrepreneurship Schools: ISB '15 (M) GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Followers: 194 Kudos [?]: 1132 [0], given: 235 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 25 May 2010, 16:22 great question !!! certainly 750+ level. _________________ Fight for your dreams :For all those who fear from Verbal- lets give it a fight Money Saved is the Money Earned Jo Bole So Nihaal , Sat Shri Akaal Support GMAT Club by putting a GMAT Club badge on your blog/Facebook GMAT Club Premium Membership - big benefits and savings Gmat test review : 670-to-710-a-long-journey-without-destination-still-happy-141642.html Current Student Joined: 29 Apr 2010 Posts: 228 Schools: Sloan R1, McCombs R1, Ross R1 (w/int), Haas R2, Kellogg R2 WE 1: Product Engineering/Manufacturing Followers: 3 Kudos [?]: 33 [0], given: 26 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 26 May 2010, 05:21 Very tricky. That would be an easy one to miss. GMAT Club Legend Joined: 09 Sep 2013 Posts: 4922 Followers: 298 Kudos [?]: 54 [0], given: 0 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 24 Aug 2014, 04:11 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. _________________ Intern Joined: 29 Oct 2013 Posts: 20 Followers: 0 Kudos [?]: 10 [1] , given: 8 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 24 Aug 2014, 09:48 1 This post received KUDOS 1 This post was BOOKMARKED We know from (2) The ratio of American to Provolone to Swiss purchased at Deli A was 6 : 2 : 1. So if we denote by x kg the amount of Swiss cheese bought at Deli A then we can write the amount of American and Provolone cheese bought at the Deli A: 6x, 2x respectively. Overall he bought 6 kg at Deli A, so we can write an equation: 6x + 2x + x = 6 9x = 6 x = 6/9 = 2/3, 6x = 4, 2x = 4/3 So he spent: 4 × 15 + 4/3 × 17 + 2/3 × 19 = 60 + 68/3 + 38/3 = 180/3 + 68/3 + 38/3 = 286/3 = 95.333 The least amount of money he could have spent at Deli B is if he bought all 6kg of American cheese (cheapest) and it is: 6 × 16 = 96 96 > 95.333 so in any case he would spend more at Deli B. Since we can give a definite answer the statement (2) is sufficient alone. Intern Joined: 15 Oct 2011 Posts: 1 Followers: 0 Kudos [?]: 5 [0], given: 1 Re: Julian bought 6 kilograms of cheese from each of Deli A and [#permalink] 09 Dec 2014, 14:06 This is an interesting question. It's a min/max question disguised as a ratio question (you still need both though!) At first I did the brute force method by figuring out the ratios bought of each etc ... but took too long. So I redid the question using 2 methods: 1) Educated Guessing (about 1 min) and 2) Easier Brute Force (about 2:15). So let's get started. 1) Educated Guessing The idea here is to look at the product that is most bought and compare to the range of the other Deli S1) Provolone was the largest quantity purchased at B: 7 *$18 = $126 The range at A will be [7 *$15 = $105, 7 *$19 = $133] Since$126 falls between this, it might be possible for A to be greater than B

S2) American was the largest quantity purchased at A: 6 * $15 =$90
The range at B will be [6 * $16 =$96, 6 * $20 =$120]
Since $90 is less than$96, B will always be greater than A

2) Easier Brute Force
The idea here is to ignore the 6 kg and use the ratios given. The reason for this is because the 6 will complicate the calculations.
S1) The total bought is 2+7+2 = 11. So instead of buying 6kg, let's say he bought 11kg.
2*$16 + 7*$18 + 2*$20 =$32 + $126 +$40 = $198 Now the range can be calculated by using 11kg at Deli A: [11 *$15 = $165, 11 *$19 = $209] Since$198 falls between this, we cannot conclude where more was spent.

S2) The total bought is 6+2+1 = 9. So instead of buying 6kg, let's say he bought 9kg.
6*$15 + 2*$17 + 1*$19 =$90+ $34 +$19 = $143 Now the range can be calculated by using 11kg at Deli A: [9 *$16 = $144, 9 *$20 = $180] Since$143 is less than the minimum (\$144), that means less was spent at A than B.

Let me know if there is something wrong with my logic.

Thanks,
sunz3000
Re: Julian bought 6 kilograms of cheese from each of Deli A and   [#permalink] 09 Dec 2014, 14:06
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