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Park, Jack, and Galvin distributed prize money of 120 dolla

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Park, Jack, and Galvin distributed prize money of 120 dolla [#permalink] New post 15 May 2019, 06:42
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Question Stats:

55% (01:20) correct 44% (01:22) wrong based on 9 sessions
Park, Jack, and Galvin distributed prize money of 120 dollars among themselves. Park received \(\frac{3}{10}\) of what Jack and Galvin together received. Jack received \(\frac{3}{11}\) of what Park and Galvin together received.

Quantity A
Quantity B
The amount received by Park
The amount received by Jack


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Park, Jack, and Galvin distributed prize money of 120 dolla [#permalink] New post 15 May 2019, 07:22
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so P+J+G=120 (eq:1)
and P=3/10 (J+G)
J+G=10P/3
now from eq:1
p+10P/3=120
13P=360
P=27.69
also j=3/11(P+G)
P+G=11J/3
again from eq:1
J+11J/3=120
14J=360
j=25.71
so answer is A.
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Re: Park, Jack, and Galvin distributed prize money of 120 dolla [#permalink] New post 15 May 2019, 10:17
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Quote:
Park, Jack, and Galvin distributed prize money of 120 dollars among themselves. Park received 3/10 of what Jack and Galvin together received. Jack received 3/11 of what Park and Galvin together received.

Quantity A
Quantity B
The amount received by Park
The amount received by Jack


To most efficiently evaluate Quantitative Comparisons eliminate values shared by both quantities to precisely determine the relationship between the quantities.

In this scenario, no matter what amount of money Galvin received, it will be the same impact for both Quantity A and Quantity B, so we can eliminate Galvin from consideration in both.

Then, we are just comparing 3/11 of Park vs 3/10 of Jack. Since the values must be non-negative to add to 120 when combined with Galvin, we can confidently compare 3/10 vs 3/11 alone without worrying about negative values affecting any products.

3/10 > 3/11, so the correct answer is choice A - Quantity A is always greater.
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Re: Park, Jack, and Galvin distributed prize money of 120 dolla   [#permalink] 15 May 2019, 10:17
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