Wednesday, September 29, 2010

In a certain game, a large bag is filled with blue, green, purple and red chips worth

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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break the number 88000 into prime factors..

1 x 2^6 X 5^3 X 11 = 88,000

after looking at factors we can say that purple ball comes from 2^6.
now check the posibility because it mentioned that purple chips are worth more than the green chips, but less than the red chips ( 5 < Purple ball < 11)

2^6 = 4^3 = 8^2 = 64

2, 4 and 64 rule out .. hence 8

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