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 dehydra...