Question

Молоко содержит 21% сливок (по массе), а сливки содержат 23% масла (по массе). Сколько масла можно получить из 50кг молока? Сколько молока необходимо для получения 5кг масла?

Answer 1

50 кг - 100%

х - 21%

х=10.5кг

 

10.5 - 100%

у - 23%

 

у=2.415 кг

из 50 кг молока получим 2.415кг масла

из z кг получим 5 кг масла

 

z= 50*5/2.415 = 103.2 кг молока

Answer 2

Calculation of Oil Content in Milk

To calculate the amount of oil that can be obtained from 50 kg of milk, we need to consider the cream content in the milk and the oil content in the cream.

Given: - Milk contains 21% cream by mass. - Cream contains 23% oil by mass.

To find the amount of cream in 50 kg of milk, we multiply the mass of milk by the cream content: Cream in 50 kg of milk = 50 kg * 21% = 10.5 kg.

To find the amount of oil in the cream, we multiply the mass of cream by the oil content: Oil in 10.5 kg of cream = 10.5 kg * 23% = 2.415 kg.

Therefore, from 50 kg of milk, we can obtain approximately 2.415 kg of oil.

Amount of Milk Required to Obtain 5 kg of Oil

To determine the amount of milk required to obtain 5 kg of oil, we need to reverse the calculation.

Given: - Cream contains 23% oil by mass. - Milk contains 21% cream by mass.

To find the amount of cream required to obtain 5 kg of oil, we divide the mass of oil by the oil content in the cream: Cream required for 5 kg of oil = 5 kg / 23% = 21.74 kg.

To find the amount of milk required to obtain the required amount of cream, we divide the mass of cream by the cream content in milk: Milk required for 21.74 kg of cream = 21.74 kg / 21% = 103.52 kg.

Therefore, approximately 103.52 kg of milk is required to obtain 5 kg of oil.

Please note that these calculations are approximate and may vary depending on the specific composition of the milk and cream.

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