Question

Задача:На первой автомашине было 6 18/25 т груза.Когда с неё сняли 1 23/25т груза,то на первой автомашине груза стало на 2 7/25т меньше.чем на второй.Сколько тонн груза было на двух автомашинах вместе первоначально?

Answer 1

6 18/25-1 23/25=4 20/25т осталось на первой машине
4 20/25+2 7/25=6 27/25=7 2/25т на второй машине
6 18/25+7 2/25=13 20/25=13 4/5т груза было на двух машинах

Answer 2

Problem Analysis

To solve this problem, we need to determine the total amount of cargo on the two trucks initially. We are given that the first truck initially had 6 18/25 tons of cargo, and after 1 23/25 tons were removed, it had 2 7/25 tons less than the second truck.

Solution

Let's denote the initial cargo on the first truck as x tons and the initial cargo on the second truck as y tons.

According to the given information: 1. The initial cargo on the first truck was 6 18/25 tons, which can be represented as 143/25 tons. 2. After 1 23/25 tons were removed, the first truck had (143/25 - 47/25) = 96/25 tons left. 3. The first truck had 2 7/25 tons less than the second truck, which can be represented as (y - 96/25) = 67/25.

Now, we can set up an equation to solve for y: y - 96/25 = 67/25 y = 67/25 + 96/25 y = 163/25

So, the initial cargo on the second truck (y) was 163/25 tons.

To find the total initial cargo on both trucks, we simply add the initial cargos of the two trucks: Total initial cargo = x + y Total initial cargo = 143/25 + 163/25 Total initial cargo = 306/25

Answer

The total initial cargo on the two trucks together was 306/25 tons.