Question

Из 1 тонны молока получили 83 кг сыра и 45 кг масла.На сколько больше сыра чем масла получим из 20 тонн молока. Решить разными способами

Answer 1

83 умножить на 20=1660
45 умножить на 20= 900
1660-900=760 сыра на 760 кг  больше чем масла

Answer 2

Calculation 1: Using the given ratio

To find out how much more cheese than butter we will get from 20 tons of milk, we can use the given ratio of cheese to butter obtained from 1 ton of milk.

From 1 ton of milk: - Cheese obtained: 83 kg - Butter obtained: 45 kg

The ratio of cheese to butter is 83:45.

To calculate the amount of cheese and butter obtained from 20 tons of milk, we can multiply the ratio by 20.

Cheese obtained from 20 tons of milk: 83 kg * 20 = 1660 kg

Butter obtained from 20 tons of milk: 45 kg * 20 = 900 kg

Therefore, from 20 tons of milk, we will obtain 1660 kg of cheese and 900 kg of butter.

The difference between the amount of cheese and butter obtained is: 1660 kg - 900 kg = 760 kg

So, we will get 760 kg more cheese than butter from 20 tons of milk.

Calculation 2: Using proportions

Another way to solve this problem is by setting up proportions.

Let's assume x represents the amount of cheese obtained from 20 tons of milk.

From 1 ton of milk, we obtained 83 kg of cheese. So, the proportion is:

1 ton of milk : 83 kg of cheese

From 20 tons of milk, we want to find x kg of cheese. So, the proportion is:

20 tons of milk : x kg of cheese

We can set up the proportion:

1 ton of milk / 83 kg of cheese = 20 tons of milk / x kg of cheese

Cross-multiplying, we get:

1 ton of milk * x kg of cheese = 83 kg of cheese * 20 tons of milk

x kg of cheese = (83 kg of cheese * 20 tons of milk) / 1 ton of milk

Simplifying, we get:

x kg of cheese = 1660 kg

Therefore, from 20 tons of milk, we will obtain 1660 kg of cheese.

Using the same method, we can find the amount of butter obtained from 20 tons of milk.

From 1 ton of milk, we obtained 45 kg of butter. So, the proportion is:

1 ton of milk : 45 kg of butter

From 20 tons of milk, we want to find y kg of butter. So, the proportion is:

20 tons of milk : y kg of butter

We can set up the proportion:

1 ton of milk / 45 kg of butter = 20 tons of milk / y kg of butter

Cross-multiplying, we get:

1 ton of milk * y kg of butter = 45 kg of butter * 20 tons of milk

y kg of butter = (45 kg of butter * 20 tons of milk) / 1 ton of milk

Simplifying, we get:

y kg of butter = 900 kg

Therefore, from 20 tons of milk, we will obtain 900 kg of butter.

The difference between the amount of cheese and butter obtained is: 1660 kg - 900 kg = 760 kg

So, we will get 760 kg more cheese than butter from 20 tons of milk.

Conclusion:

From 20 tons of milk, we will obtain 1660 kg of cheese and 900 kg of butter. Therefore, we will get 760 kg more cheese than butter from 20 tons of milk.