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

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

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27 Jun 2007, 19:44
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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?
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27 Jun 2007, 20:58
ArvGMAT wrote:
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?
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88000 = 2^6 * 5^3 * 11
Since Green chip worth 5, Red chip worth 11, there are 3 green and 1 red chips.
Now, we know purple chip is worth between 5 and 11. The only possible way to break this down is 2*2*2 = 8.
So 2 purple chip, worth 8 each
Re: PS: Chips   [#permalink] 27 Jun 2007, 20:58
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