The potato paradox - GPT4 style

 Let's break down the problem:


Initially, you have 100 kg of potatoes, and they are 99% water by weight. This means that 99 kg is water and the remaining 1 kg is the solid non-water part of the potatoes.


After dehydrating, the potatoes are 98% water by weight. However, the weight of the non-water part doesn't change because only the water is lost during dehydration.


"You have 100kg of potatoes, which are 99% water by weight. You let them dehydrate until they're 98% water. How much do they weigh now?"

So, if we let x be the new total weight of the potatoes after dehydration, we know that 2% of this weight is the non-water part (since 100% - 98% = 2%). We already determined that the non-water part weighs 1 kg when the potatoes were 99% water.


Now we can set up the equation: 0.02 * x = 1 kg


Solving for x gives us the new total weight of the potatoes after dehydration.


\[ 0.02x = 1 \]

\[ x = \frac{1}{0.02} \]

\[ x = 50 \]


So, the potatoes now weigh 50 kg after dehydration.

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