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# Bill runs a hot dog stand, and at the end of the day he has

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Senior Manager
Joined: 29 Jan 2011
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Bill runs a hot dog stand, and at the end of the day he has [#permalink]

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12 Jun 2011, 21:27
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Bill runs a hot dog stand, and at the end of the day he has collected an assortment of $1,$5, and $10 bills. He discovers that the number of$1, $5, and$10 bills that he has is in the ratio of 10 : 5 : 1, respectively. How many $10 bills does he have? (1) The dollar value of his$1 bills equals the dollar value of his $10 bills. (2) Bill has a total of$225.
[Reveal] Spoiler: OA
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12 Jun 2011, 21:51
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The proportion of $1,5,10 bills is given in question, so whatever the number of bills , the proportions will stay the same. a) insufficient - The information is redundant. the question already says,$ 1 and 10 bills are in ratio 1: 10, so whatever the numbers of these bills, their values will always be the same.

b) sufficient- consider the least case. the least amount of bills bill can have are 10 $1, 5$5 and 1 $10 bills. now that means 10 *1$ + 5*5 $+ 1*10$= 10+25+10 =45 $. So bill can have total money always as a multiple of 45. Now 45*5 =225$. so bill has 5 $10 bills. for every 45$ he has 1 dollar 10 bill so for 5 times 45 he will have 5 dollar ten bills.
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13 Jun 2011, 00:40
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$1 :$5 : $10 = 10:5:1 Values are in proportion$10:$25:$10

Stmt1:The dollar value of his $1 bills equals the dollar value of his$10 bills.
Number of dollar bills can be 10,5,1. Values are in proportion $10:$25:$10 or it can be 20,10,2. Values are in proportion$20:$50:$20. Insufficient.

Stmt2: Bill has a total of $225. Values are in proportion$10:$25:$10
hence, amount that $1 bill contributes to$225 = 10/45 * 225 = $50. We have 50$1bill
amount that $5 bill contributes to$225 = 25/45 * 225 =125. We have 25 $5 bill amount that$10 bill contributes to $225 = 10/45 * 225 =$50. We have 5 $10 bill. Ratio of bill= 50:25:5= 10:5:1. Sufficient. OA B. _________________ My dad once said to me: Son, nothing succeeds like success. Senior Manager Joined: 29 Jan 2011 Posts: 367 Followers: 0 Kudos [?]: 182 [0], given: 87 Re: DS [#permalink] ### Show Tags 13 Jun 2011, 01:42 jamifahad wrote: Stmt1:The dollar value of his$1 bills equals the dollar value of his $10 bills. Number of dollar bills can be 10,5,1. Values are in proportion$10:$25:$10
or it can be 20,10,2. Values are in proportion $20:$50:$20. Insufficient. OA B. I dint get this => or it can be 20,10,2. Values are in proportion$20:$50:$20. Insufficient.
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13 Jun 2011, 02:22
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siddhans wrote:

Stmt1:The dollar value of his $1 bills equals the dollar value of his$10 bills.
Number of dollar bills can be 10,5,1. Values are in proportion $10:$25:$10 or it can be 20,10,2. Values are in proportion$20:$50:$20. Insufficient.

OA B.

I dint get this => or it can be 20,10,2. Values are in proportion $20:$50:$20. Insufficient. What Jamifahad is telling us that statement 1 doesn't give us any additional information that is already given in the stem. n($1):n($5):n($10)
10:5:1

No matter which +ve integer do you multiply the above ratio, the value of $10 bills WILL ALWAYS be equal to$1 bills.

The example used:
$20:$50:$20 = 2:5:2 ----> Not what is given in the stem. 20:10:2 OR 200:100:20 would be correct. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 12247 Followers: 542 Kudos [?]: 151 [0], given: 0 Re: Bill runs a hot dog stand, and at the end of the day he has [#permalink] ### Show Tags 04 Aug 2016, 22:16 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. _________________ Re: Bill runs a hot dog stand, and at the end of the day he has [#permalink] 04 Aug 2016, 22:16 Similar topics Replies Last post Similar Topics: 2 A hot dog vendor who sells only hot dogs and soft drinks charges$3 6 07 Jul 2015, 02:47
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# Bill runs a hot dog stand, and at the end of the day he has

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