Question

На первой автомашине было 5 целых 8\25 т груза.Когда с неё сняли 1 целую 16\25, то на первой машине груза стало меньше, чем на второй автомашине, на 1 целую 19\25 т. Сколько всего тонн было на двух автомашинах первоначально.

Answer 1

5 ( 8/25 ) - 1 ( 16/25 ) = 4 ( 33/25 ) - 1 ( 16/25 ) = 3 ( 17/25 ) ( т ) на первой машине первоначально ;
3 ( 17/25 ) + 1 ( 19/25 ) = 4 ( 36/25 ) = 5 ( 11/25 ) ( т ) на второй машине первоначально ;
3 ( 17/25 ) + 5 ( 11/25 ) = 8 ( 28/25 ) = 9 ( 3/25 ) = 9,12 ( т ) на двух машинах всего первоначально ;
ОТВЕТ 9,12 тонн

Answer 2

Problem Analysis

We are given information about two trucks and the amount of cargo they carried. The first truck initially had 5 and 8/25 tons of cargo. When 1 and 16/25 tons were removed from the first truck, the remaining cargo on the first truck became 1 and 19/25 tons less than the cargo on the second truck. We need to determine the total amount of cargo on both trucks initially.

Solution

Let's break down the information given step by step and solve the problem.

1. Initial cargo on the first truck: 5 and 8/25 tons. 2. Cargo removed from the first truck: 1 and 16/25 tons. 3. Remaining cargo on the first truck: 1 and 19/25 tons less than the cargo on the second truck.

To find the total amount of cargo on both trucks initially, we need to find the amount of cargo on the second truck.

Let's calculate the amount of cargo on the second truck:

Cargo on the second truck = Cargo on the first truck - (Remaining cargo on the first truck + 1 and 19/25 tons)

Now, let's calculate the amount of cargo on the second truck:

Cargo on the second truck = (5 and 8/25) - (1 and 19/25) = 5 and 8/25 - 1 and 19/25

To subtract mixed numbers, we need to convert them to improper fractions:

Cargo on the second truck = (133/25) - (44/25) = 133/25 - 44/25 = (133 - 44)/25 = 89/25

Now that we know the amount of cargo on the second truck, we can calculate the total amount of cargo on both trucks initially:

Total cargo = Cargo on the first truck + Cargo on the second truck

Total cargo = (5 and 8/25) + (89/25) = 5 and 8/25 + 89/25 = (133/25) + (89/25) = (133 + 89)/25 = 222/25

Therefore, the total amount of cargo on both trucks initially is 8 and 22/25 tons.

Answer

The total amount of cargo on both trucks initially was 8 and 22/25 tons.