In a store window, there was a box of berries having a total weight of 200 kg. The berries were 98% water, by weight. After two days in the sun, the water content of the berries was only 95%, by weight. What was the total weight of the berries after two days, in kg?
Let's analyze the situation step-by-step:
Initial Weight:
Total weight = 200 kg
Water content = 98%
Non-water content = 2% (100% - 98%)
Weight of non-water content = 200 kg * 2% = 4 kg
Water Evaporation:
After 2 days, water content decreases to 95%.
Water loss = 3% (98% - 95%)
Weight of water lost = 200 kg * 3% = 6 kg
Final Weight:
All non-water content remains (it doesn't evaporate).
Final weight = Weight of non-water content + Remaining water
Final weight = 4 kg + (200 kg - 6 kg) = 4 kg + 194 kg = 198 kg
Therefore, the total weight of the berries after two days in the sun is 198 kg.