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Potatoes are underground tubers of the plant Solanum tuberosum, a perennial in the nightshade family Solanaceae. Wild potato species can be found from the southern United States to southern Chile. Genetic studies show that the cultivated potato has a single origin, in the area of present-day southern Peru and extreme northwestern Bolivia.
Let x be the new total mass of the potatoes (dry + water). Let d be the dry mass of the potatoes and w, the mass of water within the potatoes. Recall w is 98% of the total mass, that is, w = 0.98x. Therefore, x = d + w = d + 0.98x, i.e., x = d / 0.02 = 50 kg. In our case, d = 1 kg so the new mass of the potatoes will indeed be 50 kg.