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If Johnny wants to buy some candy with nickels ($0.05 coins)

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Director
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If Johnny wants to buy some candy with nickels ($0.05 coins) [#permalink]

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New post 29 Oct 2009, 10:56
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (00:50) correct 35% (00:46) wrong based on 112 sessions

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If Johnny wants to buy some candy with nickels ($0.05 coins) and quarters ($0.25 coins) that his mother gave him, how many quarters does he have?

(1) The total value of Johnny's coins is 85 cents.
(2) Johnny has more quarters than nickels in his pocket.

(C) 2008 GMAT Club - m04#22
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Jan 2013, 10:50, edited 1 time in total.
Renamed the topic and edited the tags.

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Re: Gmatclub question [#permalink]

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New post 29 Oct 2009, 11:09
The question does not provide any information about how much money the kid has. So obviously you need both statements to answer the question. Ans is C.

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Re: Gmatclub question [#permalink]

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New post 29 Oct 2009, 11:48
OMG.......You are absolutely right.....Don't know what am I doing........
hgp2k wrote:
The question does not provide any information about how much money the kid has. So obviously you need both statements to answer the question. Ans is C.

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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 07:14
I got this correct by my understanding, but i am not able to understand the explanation.
Can anyone please explain algebraically.

Thanks & Regards
Vinni

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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 07:31
reply2spg wrote:
If Johnny wants to buy some candy with nickels ($0.05 coins) and quarters ($0.25 coins) that his mother gave him, how many quarters does he have?

The total value of Johnny's coins is 85 cents.
Johnny has more quarters than nickels in his pocket.
(C) 2008 GMAT Club - m04#22

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

[Reveal] Spoiler:
OA C...IMO B


Let T : the total value of Johnny's coin T=85
X : the number of quarter in Johnny's pocket
Y: the number of nickel in Johnny's pocket ;

Hence, (0.25*X) + (0.05*Y) = 85
Since X>Y (Johnny has more quarters than nickels in his pocket)

X and Y can have different values .
For example : x = 339 , y= 5

Or x= 338, y = 10

Or x = 337, y = 15

Thus, the answer should be E.

Plz Correct if i'm wrong ..

:|
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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 07:55
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Rock750 wrote:
reply2spg wrote:
If Johnny wants to buy some candy with nickels ($0.05 coins) and quarters ($0.25 coins) that his mother gave him, how many quarters does he have?

The total value of Johnny's coins is 85 cents.
Johnny has more quarters than nickels in his pocket.
(C) 2008 GMAT Club - m04#22

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

[Reveal] Spoiler:
OA C...IMO B


Let T : the total value of Johnny's coin T=85
X : the number of quarter in Johnny's pocket
Y: the number of nickel in Johnny's pocket ;

Hence, (0.25*X) + (0.05*Y) = 85
Since X>Y (Johnny has more quarters than nickels in his pocket)

X and Y can have different values .
For example : x = 339 , y= 5

Or x= 338, y = 10

Or x = 337, y = 15

Thus, the answer should be E.

Plz Correct if i'm wrong ..

:|



Hi,


And has to be C

Let there by x no. Of quarter and y nickels.We need to find x

Now st 1 says

x*0.25+y*.05= 85 cents

There are many possible values such as below
x=3 and y=2 or x= 2, y = 7 or x=1 and y=12

There fire not suff

St 2 says x>y

Alone not sufficient

Combining we see that only possible value will be x= 3 and y= 2


Thanks
Mridul
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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 08:00
Thanks Mridul. :-D

mridulparashar1 wrote:
Hi,


And has to be C

Let there by x no. Of quarter and y nickels.We need to find x

Now st 1 says

x*0.25+y*.05= 85 cents

There are many possible values such as below
x=3 and y=2 or x= 2, y = 7 or x=1 and y=12

There fire not suff

St 2 says x>y

Alone not sufficient

Combining we see that only possible value will be x= 3 and y= 2


Thanks
Mridul

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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 08:02
Rock750 wrote:
reply2spg wrote:
If Johnny wants to buy some candy with nickels ($0.05 coins) and quarters ($0.25 coins) that his mother gave him, how many quarters does he have?

The total value of Johnny's coins is 85 cents.
Johnny has more quarters than nickels in his pocket.
(C) 2008 GMAT Club - m04#22

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

[Reveal] Spoiler:
OA C...IMO B


Let T : the total value of Johnny's coin T=85
X : the number of quarter in Johnny's pocket
Y: the number of nickel in Johnny's pocket ;

Hence, (0.25*X) + (0.05*Y) = 85
Since X>Y (Johnny has more quarters than nickels in his pocket)

X and Y can have different values .
For example : x = 339 , y= 5

Or x= 338, y = 10

Or x = 337, y = 15

Thus, the answer should be E.

Plz Correct if i'm wrong ..

:|



Hi,


And has to be C

Let there by x no. Of quarter and y nickels.We need to find x

Now st 1 says

x*0.25+y*.05= 85 cents

There are many possible values such as below
x=3 and y=2 or x= 2, y = 7 or x=1 and y=12

There fire not suff

St 2 says x>y

Alone not sufficient

Combining we see that only possible value will be x= 3 and y= 2


Thanks
Mridul
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Kudos [?]: 866 [0], given: 724

Senior Manager
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User avatar
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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 08:20
mridulparashar1 wrote:
Rock750 wrote:
reply2spg wrote:
If Johnny wants to buy some candy with nickels ($0.05 coins) and quarters ($0.25 coins) that his mother gave him, how many quarters does he have?

The total value of Johnny's coins is 85 cents.
Johnny has more quarters than nickels in his pocket.
(C) 2008 GMAT Club - m04#22

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

[Reveal] Spoiler:
OA C...IMO B


Let T : the total value of Johnny's coin T=85
X : the number of quarter in Johnny's pocket
Y: the number of nickel in Johnny's pocket ;

Hence, (0.25*X) + (0.05*Y) = 85
Since X>Y (Johnny has more quarters than nickels in his pocket)

X and Y can have different values .
For example : x = 339 , y= 5

Or x= 338, y = 10

Or x = 337, y = 15

Thus, the answer should be E.

Plz Correct if i'm wrong ..

:|



Hi,


And has to be C

Let there by x no. Of quarter and y nickels.We need to find x

Now st 1 says

x*0.25+y*.05= 85 cents

There are many possible values such as below
x=3 and y=2 or x= 2, y = 7 or x=1 and y=12

There fire not suff

St 2 says x>y

Alone not sufficient

Combining we see that only possible value will be x= 3 and y= 2


Thanks
Mridul


Since 1 quarter = $0.25 = 25 cents and 1 nickel = $0.05 = 5cents ; the correct equation is : 25x + 5y = 85
Now it becomes clear.

thanks Mridul
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Re: Gmatclub question [#permalink]

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New post 08 Jan 2013, 08:37
C

With B only you could have 8 Q's and 7 N's, or 9 Q's and 7 N's...we don't have a total value so impossible to determine.

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Re: If Johnny wants to buy some candy with nickels ($0.05 coins) [#permalink]

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New post 26 Sep 2016, 23:03
Generally if problem is dealing with positive numbers i.e amounts, dollars if one denomination is a multiple of another denominations, multiple solutions are possible.

here 0.05 is a multiple of .25 hence first statement alone is not sufficient to solve the problem
statement 2 states the one denomination is greater than the other, hence both together are required Option C

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Re: If Johnny wants to buy some candy with nickels ($0.05 coins)   [#permalink] 26 Sep 2016, 23:03
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If Johnny wants to buy some candy with nickels ($0.05 coins)

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