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# Average Integer

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SVP
Joined: 04 May 2006
Posts: 1824
Schools: CBS, Kellogg

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03 Jun 2009, 02:11
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in a certain game played with red chips and blue chips, each red chip has a point value of X and each blue chip has a point value of Y, where X>Y and X and Y are positive integers. If a player has 5 red chips and 3 blue chips, what is the average (arithmetic mean ) point value of the 8 chips that the player has?
(1) The average point value of one red chip and one blue chip is 5.
(2) The average point value of the 8 chips that the player has is an integer.

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Senior Manager
Joined: 15 Jan 2008
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03 Jun 2009, 02:37
The question asks to find out the value of (5x + 3y )/8

1. Insufficent
X + Y = 10, but we donot know the value of X and Y

2. says average is an integer.. then both 5x and 3y has to be divisible by 8.
hence the values of X can be
X = 16, Y = 8 and X = 42 and Y = 16 works.. hence in suff..

combined, sum of X and Y is 10 and X > Y
ie. X,Y can be 6,4 7,3 8,2 9,1 ..

only 9,1 solves satifies.. hence the answer is C

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Re: Average Integer   [#permalink] 03 Jun 2009, 02:37
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