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# Very confused PS

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SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
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09 Feb 2009, 03:20
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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 Please help me find the flaw in my reasoning. Thanks 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 _________________ Manager Joined: 27 May 2008 Posts: 203 Followers: 1 Kudos [?]: 35 [0], given: 0 Re: Very confused PS [#permalink] ### Show Tags 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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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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SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
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09 Feb 2009, 22:44
Source: GmatPrep

OA is C
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10 Feb 2009, 02:06
I dnt find any error in ur reasoning. ans shld be 25
Intern
Joined: 25 Jan 2010
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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
Manager
Joined: 10 Feb 2010
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12 Feb 2010, 19:14
nickels=18, quarters=7
Re: Very confused PS   [#permalink] 12 Feb 2010, 19:14
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