The total mass of the three pieces of granite is 156 kg. A piece of gray granite is 18 kg heavier than a piece of red granite

The total mass of the three pieces of granite is 156 kg. A piece of gray granite is 18 kg heavier than a piece of red granite, and a piece of red granite is lighter than a piece of white granite by 15 kg. Find the mass of a piece of red granite. Find and record the mass of the other two pieces of granite.

Let’s take the mass of the red piece as x.
Then the mass of white is x + 15 kg, and the mass of gray is x + 18. The total mass of the three pieces is 156 kg.
Let’s make the equation:
x + x + 18 + x + 15 = 156.
3x + 33 = 156.
3x = 156-33 = 123.
x = 41 kg is the mass of the red piece.
x + 18 = 41 + 18 = 59 kg – the mass of the gray piece.
x + 15 = 41 + 15 = 56 kg – the mass of the white piece.
Answer: 41 kg is the mass of the red piece. 59 kg is the mass of the gray piece. 56 kg – the mass of the white piece.



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