Question

Расфасовали 16кг крупы поровну в 8 пакетов. Сколько пакетов потребуется, чтобы расфасовать 90 кг крупы,если в каждом пакете крупы будет на 1 кг больше,чем было? сделайте пожалуйста таблицей

Answer 1

To solve this problem, we can create a table to track the weight of the grains in each bag. Let's start by organizing the information we have:

- Initially, there were 16 kg of grains divided equally into 8 bags. - Each bag initially contained 16 kg / 8 bags = 2 kg of grains.

Now, we need to determine how many bags are needed to pack 90 kg of grains, with each bag containing 1 kg more than the previous one.

Table:

| Bag Number | Initial Weight (kg) | Final Weight (kg) | |------------|---------------------|-------------------| | 1 | 2 | | | 2 | 2 | | | 3 | 2 | | | 4 | 2 | | | 5 | 2 | | | 6 | 2 | | | 7 | 2 | | | 8 | 2 | |

To fill in the final weight column, we can start by calculating the weight of the last bag. Since each bag contains 1 kg more than the previous one, the weight of the last bag will be:

Weight of the last bag = Initial weight of the last bag + (Number of bags - 1) kg

In this case, the initial weight of the last bag is 2 kg, and the number of bags is 8. Therefore, the weight of the last bag will be:

Weight of the last bag = 2 kg + (8 - 1) kg = 2 kg + 7 kg = 9 kg

Now, we can fill in the final weight column for each bag:

Table:

| Bag Number | Initial Weight (kg) | Final Weight (kg) | |------------|---------------------|-------------------| | 1 | 2 | 3 | | 2 | 2 | 4 | | 3 | 2 | 5 | | 4 | 2 | 6 | | 5 | 2 | 7 | | 6 | 2 | 8 | | 7 | 2 | 9 | | 8 | 2 | 9 |

Now, we can see that the final weight of the last bag is 9 kg. To determine the number of bags needed to pack 90 kg of grains, we can divide the total weight by the weight of the last bag:

Number of bags needed = Total weight / Weight of the last bag

In this case, the total weight is 90 kg and the weight of the last bag is 9 kg. Therefore, the number of bags needed will be:

Number of bags needed = 90 kg / 9 kg = 10 bags

So, to pack 90 kg of grains, we will need 10 bags.

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