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Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf

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Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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New post 04 Nov 2014, 10:11
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Tough and Tricky questions: Word Problems.



Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?

(1) Jim has 1/3 of the number of golf balls that Wendy has.
(2) Pedro has 1/2 of the total number of golf balls.

Kudos for a correct solution.

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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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New post 04 Nov 2014, 21:17
1
From Statement 1, we can say more than on solution. Hence insufficient.

Jim = 1, Wendy = 3, Pedro=20
Jim = 2, Wendy = 6, Pedro= 16
Jim = 3, Wendy = 9, Pedro= 12
.....

Statement 2 : Says Wendy has 12 golf balls. Clearly insufficient.


From 1) and 2), we can make out that only following solution is possible

Jim = 3, Wendy = 9, Pedro= 12

Hence the answer should be C)
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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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New post 07 Aug 2016, 12:02
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?

(1) Jim has 1/3 of the number of golf balls that Wendy has.
(2) Pedro has 1/2 of the total number of golf balls.

Kudos for a correct solution.


W+J+P=24
J=?

(1) J = 1/3(W)
1/3W + W + P = 24 does not provide us with any solution as we have two variables without any values
4/3W + P = 24 Insufficient

(2) P = 1/2(24) = 12
W+ J + 12 = 24 >>> W + J = 12 Insufficient

(1) & (2)

4/3W = 12 >>> W = 9 , P = 12, J = 3 Sufficient
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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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New post 07 Aug 2016, 13:38
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?[/i]


The Tough and Tricky header killed my confidence, made it seem like I was overlooking something and wasted a ton of time.

\(W + J+ P = 24\\J=\,?\)

(1) Jim has \(\frac{1}{3}\) of the number of golf balls that Wendy has.

\(J =\frac{1}{3}W\\W = 3J\\4J + P = 24\)

Insufficient

(2) Pedro has \(\frac{1}{2}\) of the total number of golf balls.

\(P = 12\\
J + W = 12\)

Insufficient

(1+2)

\(4J = 12\\J = 3\\W=9\)

Sufficient

(C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient

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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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New post 08 Aug 2016, 04:12
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?

(1) Jim has 1/3 of the number of golf balls that Wendy has.
(2) Pedro has 1/2 of the total number of golf balls.

Kudos for a correct solution.


Lets Wendy gets=W balls,Jim gets=J balls and Pedro gets=P balls,So, W+J+P=24

(1) J=\(\frac{W}{3}\),or W=3J,But we don't know the value of "p" to know the value of "J" from above equation,Insufficient

(2) P=12 ,but we don't know the value of "W" of the equation W+J+P=24 to get the value of "J",Insufficient


(1)+(2) \(\frac{3J+J+12}{2}\)=24,or \(\frac{4J+12}{2}\)=24 ,or J=9,Sufficient

Correct Answer C
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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf  [#permalink]

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