Mushrooms

Fresh mushrooms contain 94% water, dried 14%. How many kg of fresh mushrooms is needed to collect to get 10 kg dried?

Correct result:

m =  143.33 kg

Solution:

$m_2 = 10 \ kg \ \\ p_1 = 1-94/100 = 0.06 \ \\ p_2 = 1-14/100 = 0.86 \ \\ \ \\ m \cdot 0.06 = 10 \cdot 0.86 = 8.6 \ kg \ \\ \ \\ m = 10 \cdot 0.86 / 0.06 = 143.33 \ \text{kg} \ \\ \ \\ 143.33 \ \text{kg} \cdot 0.06 = 8.6 \ kg = 10 \ kg \cdot 0.86$

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