Question

из 75 кг молока получается 12 кг 500 г сливок. сколько сливок получится из 15 кг молока? сколько молока нужно, чтобы получить 20 кг сливок?

Answer 1

Calculation of Cream from Milk

To calculate the amount of cream obtained from a given quantity of milk, we can use the ratio of cream to milk. According to the information provided, 75 kg of milk yields 12 kg and 500 g of cream.

To find out how much cream can be obtained from 15 kg of milk, we can set up a proportion:

Proportion 1: - Milk: Cream = 75 kg : 12.5 kg (12 kg + 500 g) - 15 kg : x

To solve this proportion, we can cross-multiply and divide: ``` (15 kg) * (12.5 kg) = (75 kg) * x 187.5 kg = 75 kg * x x = 187.5 kg / 75 kg x = 2.5 kg ```

Therefore, from 15 kg of milk, 2.5 kg of cream can be obtained.

Calculation of Milk Required for Cream

To calculate the amount of milk required to obtain a certain quantity of cream, we can use the same ratio of cream to milk. According to the information provided, 75 kg of milk yields 12 kg and 500 g of cream.

To find out how much milk is needed to obtain 20 kg of cream, we can set up another proportion:

Proportion 2: - Milk: Cream = 75 kg : 12.5 kg (12 kg + 500 g) - x : 20 kg

To solve this proportion, we can cross-multiply and divide: ``` (75 kg) * (20 kg) = x * (12.5 kg) 1500 kg = 12.5 kg * x x = 1500 kg / 12.5 kg x = 120 kg ```

Therefore, to obtain 20 kg of cream, approximately 120 kg of milk is needed.

Please note that these calculations are based on the given information and assume a consistent ratio of cream to milk. The actual yield may vary depending on various factors such as the fat content of the milk and the processing method used.