Question

В двух сумках 18 кг продуктов причём в первой сумке на 4 кг меньше чем во второй сколько килограммов продуктов в каждой сумке ? Решать задачу надо в 2 способа а не действия

Answer 1

1 способ
18-4:2 получается 7 (1 сумка) 7+4=11 2 сумка .
2 способ

18:2-2=7 , 7+4=11

Answer 2

Problem Analysis

We are given two bags of groceries, with a total weight of 18 kg. The weight of the first bag is 4 kg less than the weight of the second bag. We need to determine the weight of the groceries in each bag.

Solution 1: Algebraic Approach

Let's assume the weight of the second bag is x kg. According to the problem, the weight of the first bag is 4 kg less than the weight of the second bag. Therefore, the weight of the first bag can be expressed as (x - 4) kg.

The total weight of the groceries in both bags is 18 kg. So, we can write the equation:

(x - 4) + x = 18

Simplifying the equation:

2x - 4 = 18

Adding 4 to both sides:

2x = 22

Dividing both sides by 2:

x = 11

Therefore, the weight of the second bag is 11 kg, and the weight of the first bag is (11 - 4) = 7 kg.

Answer: The weight of the groceries in the first bag is 7 kg, and the weight of the groceries in the second bag is 11 kg.

Solution 2: Trial and Error

Another approach to solving this problem is through trial and error. We can start by assuming different weights for the second bag and calculating the weight of the first bag based on the given condition.

Let's assume the weight of the second bag is 10 kg. According to the problem, the weight of the first bag is 4 kg less than the weight of the second bag. Therefore, the weight of the first bag would be 10 - 4 = 6 kg.

The total weight of the groceries in both bags is 18 kg. So, the sum of the weights of the two bags should be 18 kg. Checking our assumption:

6 kg + 10 kg = 16 kg

Since the total weight is less than 18 kg, our assumption is incorrect. We need to try a different weight for the second bag.

Let's assume the weight of the second bag is 12 kg. According to the problem, the weight of the first bag is 4 kg less than the weight of the second bag. Therefore, the weight of the first bag would be 12 - 4 = 8 kg.

Checking our assumption:

8 kg + 12 kg = 20 kg

Since the total weight is greater than 18 kg, our assumption is incorrect. We need to try a different weight for the second bag.

Continuing this process, we find that when the weight of the second bag is 11 kg, the weight of the first bag is 7 kg, and the total weight is 18 kg. Therefore, this is the correct solution.

Answer: The weight of the groceries in the first bag is 7 kg, and the weight of the groceries in the second bag is 11 kg.

I hope this helps! Let me know if you have any further questions.