曼哈顿模拟考的一道数学题，求助！！！

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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?

answer choice
1 2 3 4 5


correct answer 2


would you please tell me how to solve the problem?


this problem is in the CAT test of MANHATTAN GMAT

dingzeren

Wang YU???

jeffxu

88000=2^6*11*5^3
So we have 3 green chips and 1 red chip.
For the purple chip, its score is between 5 and 11, so we need change 2^6 to 8^2; then x=8 and the number of purple chips is 2.

krusher

64，a very important figure