Question

В саду собрали 12кг яблок и 8кг груш.Из 6-кг фруктов сварили варенье сколько килограммов фруктов осталось. Реши задачу тремя способами.

Answer 1

1 способ:
(12+8)-6=14
2 способ:
12+(8-6)=14
3 способ:
8+(12-6)=14

Answer 2

1) 12 кг - 6 кг + 8 кг = 14 кг
2) 12 кг + 8 кг - 6 кг = 14 кг
3) 8 кг - 6 кг + 12 кг = 14 кг 

Answer 3

Problem Statement

В саду собрали 12 кг яблок и 8 кг груш. Из 6 кг фруктов сварили варенье. Сколько килограммов фруктов осталось?

Solution 1: Subtraction

To find the weight of the remaining fruits, we can subtract the weight of the jam from the total weight of the fruits.

The total weight of the fruits is the sum of the weight of apples and pears, which is 12 kg + 8 kg = 20 kg.

The weight of the jam is given as 6 kg.

To find the weight of the remaining fruits, we subtract the weight of the jam from the total weight of the fruits: 20 kg - 6 kg = 14 kg.

Therefore, there are 14 kg of fruits remaining.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios.

The ratio of the weight of fruits used for making jam to the total weight of fruits is equal to the ratio of the weight of fruits remaining to the total weight of fruits.

Let's denote the weight of fruits remaining as x kg.

The ratio of the weight of fruits used for making jam to the total weight of fruits is 6 kg / (12 kg + 8 kg) = 6 kg / 20 kg = 3/10.

The ratio of the weight of fruits remaining to the total weight of fruits is x kg / 20 kg.

Since these ratios are equal, we can set up the following equation:

3/10 = x kg / 20 kg

To solve for x, we can cross-multiply:

3 * 20 = 10 * x

60 = 10x

x = 6 kg

Therefore, there are 6 kg of fruits remaining.

Solution 3: Using Proportions

We can also solve this problem using proportions.

Let's denote the weight of fruits remaining as x kg.

The weight of fruits used for making jam is 6 kg.

The weight of fruits remaining to the total weight of fruits is equal to the weight of fruits used for making jam to the total weight of fruits.

So, we can set up the following proportion:

x kg / 20 kg = 6 kg / (12 kg + 8 kg)

To solve for x, we can cross-multiply:

x kg * (12 kg + 8 kg) = 6 kg * 20 kg

20x kg = 120 kg

x = 120 kg / 20 kg

x = 6 kg

Therefore, there are 6 kg of fruits remaining.

In summary, there are 6 kg of fruits remaining using all three methods: subtraction, ratios, and proportions.

Please let me know if there's anything else I can help you with!