
Одна бригада шахтарів видобула 3,025 тис. тонн вугілля, дру га - в 1,4 раза більше, ніж перша, а
третя - в 1,2 раза більше, ніж друга. Скільки тонн вугілля видобули три бригади?

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Пошаговое объяснение:
Тримай свою відповідь..........




To find out how much coal was extracted by the three brigades, we need to add up the amounts extracted by each brigade.
Let's assign variables to represent the amount of coal extracted by each brigade: - Brigade 1: x - Brigade 2: y - Brigade 3: z
According to the information given, Brigade 2 extracted 1.4 times more coal than Brigade 1, and Brigade 3 extracted 1.2 times more coal than Brigade 2.
We can set up the following equations based on the given information: - y = 1.4x - z = 1.2y
To find the total amount of coal extracted by all three brigades, we need to add up the amounts extracted by each brigade: - Total = x + y + z
Now, let's solve the equations to find the values of x, y, and z.
From the first equation, we can express x in terms of y: - x = y / 1.4
Substituting this value of x into the second equation, we can express z in terms of y: - z = 1.2 * (y / 1.4)
Simplifying the equation: - z = (1.2/1.4) * y
Now, we can substitute the value of z into the equation for the total amount of coal extracted: - Total = (y / 1.4) + y + (1.2/1.4) * y
Simplifying the equation: - Total = (1/1.4 + 1 + 1.2/1.4) * y
Now, we can calculate the value of y by dividing the total amount of coal extracted by the coefficient of y: - y = Total / (1/1.4 + 1 + 1.2/1.4)
Finally, we can substitute the value of y back into the equation for x and z to find the values of x and z.
Please provide the total amount of coal extracted by the three brigades, and I will calculate the values of x, y, and z for you.


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