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# In a certain game, a large bag is filled with blue, green,

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Joined: 16 May 2007
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In a certain game, a large bag is filled with blue, green, [#permalink]  08 Jul 2007, 17:37
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In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?

A. 1
B. 2
C. 3
D. 4
E. 5
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Joined: 04 Jun 2007
Posts: 374
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Kudos [?]: 22 [0], given: 0

88000= 88 x 10 x 10 x 10
= 2^3 x 11 x 2^3 x 5^3
= 2^6 x 5^3 x 11

there's 1 red and 3 green chips
11>x>5 so x can be 6, 7, 8, 9, 10 and 2^6 = 64 = 8 x 8

hence x=8 and there are 2 purple chips, answer is B.
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