integers

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integers

by pemdas » Mon Jan 16, 2012 1:39 pm
In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?

A 1
B 2
C 3
D 4
E 5

source: Magoosh
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by rijul007 » Mon Jan 16, 2012 1:53 pm
pemdas wrote:In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?

A 1
B 2
C 3
D 4
E 5

source: Magoosh
No of Red Chips = x
No of Blue Chips = y
No of Green Chips = z

2^x * 4^y * 5^z = 16000 = 16 * 10^3 = 16 * 2^3 * 5^3
z = 3

Acc to te ques,
y = z = 3

2^x * 4^3 * 5^3 = 4*4*4*2*5^3 = 2^1 * 4^3 * 5^3

x = 1

Option A

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by pemdas » Mon Jan 16, 2012 2:35 pm
OA is A)

I was a little confused by the wording of this q. at first
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