The mass of the earth is 182% of the mass of mercury; the mass of Saturn is 9401%

| August 2, 2021 | education

The mass of the earth is 182% of the mass of mercury; the mass of Saturn is 9401% of the mass of the Earth; What percentage of the mass of Mercury is the mass of Saturn?

Let’s denote the mass of Mercury through m.

Let us express the masses of the Earth z and Saturn c through m.

In the wording of the condition for this task, it is reported that the mass of the earth is 182% of the mass of Mercury, therefore, the following relationship takes place:

z = (182/100) * m = 1.82 * m.

Also in the condition of the problem it is said that the mass of Saturn is 9401% of the mass of the Earth, therefore, the following relationship takes place:

c = (9401/100) * z = 94.01 * z = 94.01 * 1.82 * m = 171.0982 * m.

Therefore, the mass of Mercury is 100 * m / (171.0982 * m) = 100 / 171.0982 ≈ 0.58% of the mass of Saturn.

Answer: 0.58%.



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