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# A group of friends win \$96,000 in the lottery and agree to split their

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
A group of friends win \$96,000 in the lottery and agree to split their  [#permalink]

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28 Jul 2017, 00:27
00:00

Difficulty:

35% (medium)

Question Stats:

78% (01:23) correct 22% (01:46) wrong based on 34 sessions

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A group of friends win \$96,000 in the lottery and agree to split their winnings equally. How many friends are in the group?

(1) If the prize had been \$100,000, each friend would have received \$500 more.

(2) If there had been 2 fewer friends, each friend would have received \$4,000 more.

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Joined: 18 Aug 2016
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Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: A group of friends win \$96,000 in the lottery and agree to split their  [#permalink]

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28 Jul 2017, 00:56
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Bunuel wrote:
A group of friends win \$96,000 in the lottery and agree to split their winnings equally. How many friends are in the group?

(1) If the prize had been \$100,000, each friend would have received \$500 more.

(2) If there had been 2 fewer friends, each friend would have received \$4,000 more.

(1) 96000/x = 100000/x - 500

-4000/x = -500
x=4000/500 = 8
Sufficient

96000/x = 96000/(x-2) -4000
24/x = 24/(x-2) - 1
24(x-2) - 24x = - (x) (x-2)
x^2 - 2x - 48 = 0
x^2 -8x +6x -48 = 0
x(x-8) +6 (x-8) = 0
x= 8, -6
Since no. of people cannot be negative

Sufficient

D
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Re: A group of friends win \$96,000 in the lottery and agree to split their   [#permalink] 28 Jul 2017, 00:56
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