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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
Posts: 278
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
3
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Difficulty:

45% (medium)

Question Stats:

69% (01:38) correct 31% (01:39) wrong based on 158 sessions

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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.
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Joined: 14 Mar 2011
Posts: 190

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12 Jun 2011, 21:51
1
1

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.
Senior Manager
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13 Jun 2011, 00:40
1
\$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.
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Senior Manager
Joined: 29 Jan 2011
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13 Jun 2011, 01:42
1

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
1
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.
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Re: Bill runs a hot dog stand, and at the end of the day he has  [#permalink]

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21 Mar 2018, 13:36
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).

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Re: Bill runs a hot dog stand, and at the end of the day he has   [#permalink] 21 Mar 2018, 13:36
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