Question

Решите задачу: Свежие грибы содержат 90 процентов воды, а сухие - 12 процентов воды, сколько получится сухих грибов из 22 кг свежих?

Answer 1

22кг - 90%
х кг - 12%
х=(22×12)/90
х=2, 14/15

Answer 2

Problem Analysis

To solve the problem, we need to determine the amount of dry mushrooms that can be obtained from 22 kg of fresh mushrooms, given that fresh mushrooms contain 90% water and dry mushrooms contain 12% water.

Calculation

To calculate the amount of dry mushrooms, we can use the following formula: \[ \text{Amount of dry mushrooms} = \frac{\text{Weight of fresh mushrooms} \times (\text{100% - water content of dry mushrooms})}{\text{100% - water content of fresh mushrooms}} \]

Substituting the given values: \[ \text{Amount of dry mushrooms} = \frac{22 \times (100\% - 12\%)}{100\% - 90\%} \]

\[ \text{Amount of dry mushrooms} = \frac{22 \times 88\%}{10\%} \]

\[ \text{Amount of dry mushrooms} = \frac{22 \times 0.88}{0.10} \]

\[ \text{Amount of dry mushrooms} = 193.6 \, \text{kg} \]

Answer

So, 193.6 kg of dry mushrooms can be obtained from 22 kg of fresh mushrooms.

This calculation is based on the water content of fresh and dry mushrooms, and the conversion formula for determining the amount of dry mushrooms from a given weight of fresh mushrooms.

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