The mass of the first volcanic bomb is 2 times the mass of the second volcanic bomb. the mass

| May 16, 2021 | education

The mass of the first volcanic bomb is 2 times the mass of the second volcanic bomb. the mass of the second bomb exceeds the mass of the third by 2t200kg, and their total mass is 10t300kg. Determine the mass of each volcanic bomb.

Suppose that the mass of the third volcanic bomb is x, then the mass of the second volcanic bomb is x +2200, and the mass of the first volcanic bomb is 2 * (x + 2200). Let’s make an equation.

2 * (x + 2200) + (x + 2200) + x = 10300

2x + 4400 + x + 2200 + x = 10300

4x + 6600 = 10300

4x = 3700

x = 3700: 4

x = 925

The mass of the third volcanic bomb is 925 kg.

Find the mass of the second volcanic bomb.

925 + 2200 = 3125 kg is the mass of the second volcanic bomb.

Now we find the mass of the first bomb.

3125 * 2 = 6250 mass of the first volcanic bomb



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