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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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04 Nov 2014, 09:11
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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.
[Reveal] Spoiler: OA

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

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04 Nov 2014, 20:17
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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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Joined: 20 Dec 2014
Posts: 22
Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf [#permalink]

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07 Aug 2016, 11:02
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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07 Aug 2016, 12:38
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

[Reveal] Spoiler:
(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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08 Aug 2016, 03:12
Top Contributor
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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13 Jan 2018, 02:36
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Re: Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf   [#permalink] 13 Jan 2018, 02:36
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