Question

Груз массой 7.8 тонны распределили на две машины так , что на одной машине оказалось на 1.4 тонны груза больше , чем на другой. Найти массы груза на каждой из машин .

Answer 1

Х+х+1.4=7.8
2х=7.8-1.4
2х=6.4
х=6.4:2
х=3.2т в одной машине

3.2+1.4=4.6т в другой машине

Answer 2

Problem Analysis

We are given that a load weighing 7.8 tons is distributed between two cars in such a way that one car has 1.4 tons more load than the other. We need to find the masses of the load on each car.

Solution

Let's assume the mass of the load on one car is x tons. According to the given information, the mass of the load on the other car is x + 1.4 tons.

The sum of the masses of the load on both cars should be equal to the total mass of the load, which is 7.8 tons. Therefore, we can write the following equation:

x + (x + 1.4) = 7.8

Simplifying the equation:

2x + 1.4 = 7.8

Subtracting 1.4 from both sides:

2x = 6.4

Dividing both sides by 2:

x = 3.2

So, the mass of the load on one car is 3.2 tons, and the mass of the load on the other car is 3.2 + 1.4 = 4.6 tons.

Answer

The mass of the load on the first car is 3.2 tons, and the mass of the load on the second car is 4.6 tons.