Question

На корабль погрузили 7 одинаковых мешков с мукой и 12 одинаковых мешков с крупой .найди массу каждого мешка , если масса мешка с мукой в 2, раза больше мешка с крупой , а общая масса всех мешков 780 кг.

Answer 1

1. 12x +7*2x=780 ; 12х+14х=780; 26х=780; х=30 ; 30 кг весит мешок с крупой, а мешок с мукой весит 30*2=60 кг

Answer 2

Problem Analysis

We are given that there are 7 identical sacks of flour and 12 identical sacks of groats (a type of cereal). The mass of the flour sack is twice the mass of the groats sack, and the total mass of all the sacks is 780 kg. We need to find the mass of each sack.

Solution

Let's assume the mass of each groats sack is x kg. According to the problem, the mass of each flour sack is twice the mass of the groats sack, so the mass of each flour sack is 2x kg.

We can set up the following equation to represent the total mass of all the sacks:

7 * (2x) + 12 * x = 780

Simplifying the equation:

14x + 12x = 780

26x = 780

Dividing both sides by 26:

x = 30

Therefore, the mass of each groats sack is 30 kg, and the mass of each flour sack is twice that, which is 60 kg.

Answer

The mass of each groats sack is 30 kg, and the mass of each flour sack is 60 kg.