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A sum of $385 was divided among Jack, Pollock and Gibbs. Who received

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Bunuel
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A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   31 Jul 2019, 01:33
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83% (01:42) correct 17% (01:42) wrong based on 276 sessions
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A sum of $385 was divided among Jack, Pollock and Gibbs. Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.

(2) Pollock received 3/11 of what Jack and Gibbs together received
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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   31 Jul 2019, 01:49
Statement1 (P+G)2/9 = J not sufficient

Statement2 (J+G)3/11=P not sufficient

Combining both we can have 3 equation to solve.

P+J+G=385
2P+2G=9J
2P+2G+2J=11J
J=70
3J+3G=11P
3J+3G+3P=14P
P=82.5
G=232.5
J=70
Jack received minimum amount
Answer C

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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   31 Jul 2019, 04:34
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Bunuel wrote:
A sum of $385 was divided among Jack, Pollock and Gibbs. Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.

(2) Pollock received 3/11 of what Jack and Gibbs together received



Given: A sum of $385 was divided among Jack, Pollock and Gibbs.

Asked: Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.
j = 2/9(p+g) = 2/11 (j+p+g) = 2/11 * 385 = $70
NOT SUFFICIENT

(2) Pollock received 3/11 of what Jack and Gibbs together received
p=3/11(j+g) = 3/14 *(j+p+g) = 3/14 * 385 = 3 * 55/2 = $82.5
NOT SUFFICIENT

Combining (1) & (2) together
(1) Jack received 2/9 of what Pollock and Gibbs together received.
j = 2/9(p+g) = 2/11 (j+p+g) = 2/11 * 385 = $70
(2) Pollock received 3/11 of what Jack and Gibbs together received
p=3/11(j+g) = 3/14 *(j+p+g) = 3/14 * 385 = 3 * 55/2 = $82.5
Gibbs received = 385 - 70 - 82.5 = $232.5
Jack received the minimum amount = $ 70
SUFFICIENT

IMO C
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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   31 Jul 2019, 07:37
A sum of $385 was divided among Jack, Pollock and Gibbs. Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.

(2) Pollock received 3/11 of what Jack and Gibbs together received

Question asks who received least amount among Jack(J), Pollock(P) and Gibbs(G).

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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   31 Jul 2019, 08:47
Kinshook wrote:
Bunuel wrote:
A sum of $385 was divided among Jack, Pollock and Gibbs. Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.

(2) Pollock received 3/11 of what Jack and Gibbs together received



Given: A sum of $385 was divided among Jack, Pollock and Gibbs.

Asked: Who received the minimum amount?

(1) Jack received 2/9 of what Pollock and Gibbs together received.
j = 2/9(p+g) = 2/11 (j+p+g) = 2/11 * 385 = $70
NOT SUFFICIENT

(2) Pollock received 3/11 of what Jack and Gibbs together received
p=3/11(j+g) = 3/14 *(j+p+g) = 3/14 * 385 = 3 * 55/2 = $82.5
NOT SUFFICIENT

Combining (1) & (2) together
(1) Jack received 2/9 of what Pollock and Gibbs together received.
j = 2/9(p+g) = 2/11 (j+p+g) = 2/11 * 385 = $70
(2) Pollock received 3/11 of what Jack and Gibbs together received
p=3/11(j+g) = 3/14 *(j+p+g) = 3/14 * 385 = 3 * 55/2 = $82.5
Gibbs received = 385 - 70 - 82.5 = $232.5
Jack received the minimum amount = $ 70
SUFFICIENT

IMO C


Hello Sir, Can you please explain me how did you arrive at this equation? j = 2/9(p+g) = 2/11 (j+p+g).
May be it is something simple but it's not clicking me.
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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink] New post   20 Feb 2022, 23:52
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Re: A sum of $385 was divided among Jack, Pollock and Gibbs. Who received [#permalink]
20 Feb 2022, 23:52
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