Question

Вес сливок составляет 21% вера молока; масло составляет 23% веса сливок. Сколько нужно взять молока ( с точностью до 1 кг) чтобы получить 7 кг масла?

Answer 1

Решим с помошью пропорций:

1. Узнаем сколько сливок нужно для изготовления масла:

7 кг - 23 %

х кг - 100 %

х = 700/23 кг сливок нужно для изготовления 7 кг масла.

2. Узнаем сколько молока нужно для изготовления сливок:

700/23 кг - 21 %

х кг - 100%

х = 70000/(21 * 23) = 10000/69 = 144,927 кг = 145 кг.

Ответ. Для изготовления 7 кг масла нужно 145 кг молока.

Answer 2

составим пропорцию

7 кг-23%

х кг-100% 

х=7*100/23=100/3=30,4 (кг) - нужно сливок

вторая пропорция

30,4 - 21 %

х кг - 100 %

х=30,4*100/21=144,8=145 кг молока нужно взять 

можно решить задачу одним выражением

0,23 - содержание масла в сливках

0,21- содержание сливок в молоке

7:0,23:0,21=145 кг. молока нужно взять 

Answer 3

Calculating the Amount of Milk Needed to Produce 7 kg of Butter

To calculate the amount of milk needed to produce 7 kg of butter, we can use the given information that the cream constitutes 21% of the weight of the milk and the butter constitutes 23% of the weight of the cream.

Let's denote the amount of milk needed as x kg.

First, we need to find the weight of the cream obtained from x kg of milk, and then we can find the weight of the butter obtained from that cream.

1. Weight of Cream Obtained from x kg of Milk: - The cream constitutes 21% of the weight of the milk. - Therefore, the weight of the cream obtained from x kg of milk is 21% of x kg.

2. Weight of Butter Obtained from the Cream: - The butter constitutes 23% of the weight of the cream. - Therefore, the weight of the butter obtained from the cream is 23% of the weight of the cream.

Now, we can set up the equation to find the amount of milk needed to produce 7 kg of butter.

3. Equation: - Let's denote the amount of milk needed as x kg. - The weight of the cream obtained from x kg of milk is 21% of x kg. - The weight of the butter obtained from the cream is 23% of the weight of the cream. - We want to find x such that the weight of the butter obtained from x kg of milk is 7 kg.

Therefore, the equation is: ``` 0.21x * 0.23 * 1000 = 7 ```

Solving this equation will give us the amount of milk needed to produce 7 kg of butter.

Let's calculate the value of x using the given equation.