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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Tricky problem
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adamsmith2009
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B
Prime factor of 88,000 = 2^6*5^3*11
Blue = 1
Green = 5
Purple = X (X = 6, 7, 8, 9 or 10)
Red = 11
We already hava 5 in Green and an 11 in Red and Blue doesn't matter since it's 1. We know that X = 6, 7, 8, 9 or 10 so the only value x could be based on 2^6 is 8^2 so 2 Purple chips were selected.
Prime factor of 88,000 = 2^6*5^3*11
Blue = 1
Green = 5
Purple = X (X = 6, 7, 8, 9 or 10)
Red = 11
We already hava 5 in Green and an 11 in Red and Blue doesn't matter since it's 1. We know that X = 6, 7, 8, 9 or 10 so the only value x could be based on 2^6 is 8^2 so 2 Purple chips were selected.
