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# Very confused PS

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SVP
Joined: 04 May 2006
Posts: 1881

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Schools: CBS, Kellogg

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09 Feb 2009, 03:20
00:00

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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Mary has 11 more nickels (\$0.05) than quarters (\$0.25). How many coins does
she have if the total value of her coins is \$2.65?
17 18 19 20 21

q=quarter
n=nickels
n=q+11
0.05n+0.25q=2.65
0.05(q+11) +0.25q=2.65
0.3q=2.1
--> q=7, so n=7+11=18

the coins she has are =n+q=7+18=25. There is no 25 in the list of answer choice
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Manager
Joined: 27 May 2008
Posts: 200

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09 Feb 2009, 04:00
sondenso wrote:
Mary has 11 more nickels (\$0.05) than quarters (\$0.25). How many coins does
she have if the total value of her coins is \$2.65?
17 18 19 20 21

q=quarter
n=nickels
n=q+11
0.05n+0.25q=2.65
--> q=7, so n=7+11=18

the coins she has are =n+q=7+18=25. There is no 25 in the list of answer choice

n = 18
q = 7 is just one options. which will give 18*.05 + 7*.25 = 2.65

but there are other options like

n= 23
q=6

n+q = 29

n = 13
q = 8

n+q = 21

n = 8
q= 9

n+q = 17

n= 3
q=10

n+q = 13

SO now we have 17 and 21 as answer... what is the source?

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SVP
Joined: 07 Nov 2007
Posts: 1792

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Location: New York

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09 Feb 2009, 11:25
sondenso wrote:
Mary has 11 more nickels (\$0.05) than quarters (\$0.25). How many coins doesshe have if the total value of her coins is \$2.65?
17 18 19 20 21

q=quarter
n=nickels
n=q+11
0.05n+0.25q=2.65
0.05(q+11) +0.25q=2.65
0.3q=2.1
--> q=7, so n=7+11=18

the coins she has are =n+q=7+18=25. There is no 25 in the list of answer choice

I believe there is nothing wrong your logic.

Question seems to be wrong..

"Question should ask how many nickels does shes has.." and answer would be 18
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Kudos [?]: 1065 [0], given: 5

SVP
Joined: 04 May 2006
Posts: 1881

Kudos [?]: 1408 [0], given: 1

Schools: CBS, Kellogg

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09 Feb 2009, 22:44
Source: GmatPrep

OA is C
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VP
Joined: 18 May 2008
Posts: 1258

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10 Feb 2009, 02:06
I dnt find any error in ur reasoning. ans shld be 25

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Intern
Joined: 25 Jan 2010
Posts: 5

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26 Jan 2010, 14:27
nikels-x
then quarters -x-11
All nikels will be in value 5x
All quarters will be 25(x-11)
then equation will be
5x+25(x-11)=265

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Manager
Joined: 10 Feb 2010
Posts: 188

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12 Feb 2010, 19:14
nickels=18, quarters=7

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Re: Very confused PS   [#permalink] 12 Feb 2010, 19:14
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