In a store window, there was a flat containing boxes of berries having a total weight of $200$ kg. an analysis showed that the berries were $99\%$ moisture, by weight. after two days in the sun, a second analysis showed that the moisture content of the berries was only $98\%$, by weight. what was the total weight of the berries after two days, in kg?

100 kg

Step-by-step explanation:

Data provided in the question:

Initial total weight of the berries = 200 kg

Initial weight of water present = 99% of the weight

= 198 kg

therefore,

Initial weight of the solids in berries = 200 kg - 198 kg = 2 kg

After 2 days water was 98% of the total weight of the berries

Thus,

2% was solid which means 2 kg was 2% of the total weight of the berries

Thus,

2% of Total weight of berries after two days = 2 kg

or

0.02 × Total weight of berries after two days = 2 kg

or

Total weight of berries after two days = [ 2 ÷ 0.02 ] kg

or

Total weight of berries after two days = 100 kg

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