The mass of the first three artificial satellites of the Earth was 1918.9 kg. Find the mass of each satellite

| July 23, 2021 | education

The mass of the first three artificial satellites of the Earth was 1918.9 kg. Find the mass of each satellite if the mass of the second was more than the mass of the first by 424.7 kg, and the mass of the third was greater than the mass of the second by 818.7 kg.

Let us denote by the variable x the number of kilograms to which the mass of the first of the indicated satellites corresponds.

Therefore, the mass of the second we can express through (x + 424.7), and the mass of the third apparatus through (x + 424.7 + 818.7).

Knowing by the condition of the problem that the total mass of the satellites was 1918.9 kilograms, we draw up an equation and determine the mass of each:

x + x + 424.7 + x +1243.4) = 1918.9;

3x = 250.8;

x = 83.6;

83.6 + 424.7 = 508.3;

508.3 + 818.7 = 1327.

Answer: 83.6 kg, 508.3 kg, 1327 kg.



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