Fresh fruit contain 90% water while dry fruits contain 20% water. How many kilograms of fruits do you need to take to get 3kg of dry fruits?

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вопрос

Let x be the weight of fresh fruits needed to get 3kg of dry fruits.

Since fresh fruits contain 90% water, the actual fruit content in fresh fruits is 100% - 90% = 10%.

So, the weight of actual fruit content in x kg of fresh fruits is 0.1x kg.

Since dry fruits contain 20% water, the actual fruit content in dry fruits is 100% - 20% = 80%.

Given that 3kg of dry fruits contain only 80% of the actual fruit content, the actual fruit content in 3kg of dry fruits is 0.8 * 3 = 2.4 kg.

Equating the actual fruit content in fresh fruits and dry fruits:

0.1x = 2.4

x = 2.4 / 0.1

x = 24 kg

Therefore, 24 kilograms of fresh fruits are needed to get 3kg of dry fruits.