Hi All,

This question is really just about fractions and basic arithmetic, so you don't need a 'fancy' approach to solve it - you just need to do the necessary work on the pad.

We're told to start with an $81 microchip and that its price reduces by about 2/3 every 6 months. We're asked how long it takes for that chip to get to a $1 price. A few calculations should be all that's required to get to the answer:

Start: $81

Reducing this price by 2/3 means that 1/3 of the price will be left:

(1/3)(81) = 27

The price 6 months later is $27

We can repeat this same set of 'steps' again...

(1/3)(27) = 9

The price 12 months later is $9

(1/3)(9) = 3

The price 18 months later is $3

(1/3)(3) = 1

The price 24 months later is $1

Final Answer:

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Rich

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