
Три вантажівки перевезли деякий вантаж.Перша вантажівка перевезли 40% всього вантажу,друга 25 того
що залишилося,а третя решту 9т.Скільки вантажу перевезено разом?

Ответы на вопрос




Calculation of Total Cargo Transported
To calculate the total cargo transported, we can follow the information provided in the question. Let's break it down step by step:
1. The first truck transported 40% of the total cargo. 2. The second truck transported 25% of what was left after the first truck. 3. The third truck transported the remaining 9 tons of cargo.
To find the total cargo transported, we need to determine the amount of cargo each truck carried and then add them together.
Calculation Steps:
1. Let's assume the total cargo transported is represented by the variable "x". 2. The first truck transported 40% of the total cargo, which is 0.4x. 3. The second truck transported 25% of what was left after the first truck. This means the second truck transported 25% of (100% - 40%) of the total cargo. Mathematically, this can be represented as 0.25 * (1 - 0.4) * x. 4. The third truck transported the remaining 9 tons of cargo. 5. We can set up an equation to represent the total cargo transported: ``` 0.4x + 0.25 * (1 - 0.4) * x + 9 = x ```
Now, let's solve the equation to find the value of "x" and determine the total cargo transported.
Solving the Equation:
Simplifying the equation: ``` 0.4x + 0.25 * 0.6 * x + 9 = x ```
Combining like terms: ``` 0.4x + 0.15x + 9 = x ```
Subtracting "x" from both sides: ``` 0.4x + 0.15x + 9 - x = 0 ```
Simplifying further: ``` 0.55x + 9 - x = 0 ```
Combining like terms: ``` -0.45x + 9 = 0 ```
Subtracting 9 from both sides: ``` -0.45x = -9 ```
Dividing both sides by -0.45: ``` x = -9 / -0.45 ```
Calculating the value of "x": ``` x = 20 ```
Therefore, the total cargo transported is 20 tons.
Please note that the calculation assumes that the percentages given are based on the remaining cargo after each truck's transportation.


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