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by jeevan.Gk » Mon Dec 22, 2008 6:09 am
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?

a. 1
b. 2
c. 3
d. 4
e. 5
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by dmateer25 » Mon Dec 22, 2008 6:17 am
You need to break 88,000 into primes in this question.

88000 = 11 * 5^3 * 2^6

we know the point value are 1, 5, x, and 11. We also know that x is between 5 and 11.

So looking at the primes:

11 * 5^3 * 2^6

2^6 can be restated as 2^3 * 2^3 which is 8 * 8.

So the value of the purple chips is 8.

And we will need 2 of them.

Choose B
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