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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]  15 May 2019, 06:42
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Question Stats:

71% (01:38) correct 28% (01:22) wrong based on 14 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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Intern
Joined: 15 Mar 2019
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Re: Park, Jack, and Galvin distributed prize money of 120 dolla [#permalink]  15 May 2019, 07:22
1
KUDOS
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
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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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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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Stefan Maisnier

Re: Park, Jack, and Galvin distributed prize money of 120 dolla   [#permalink] 15 May 2019, 10:17
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