An alloy with a mass of 3.9 kg consists of copper, zinc, nickel. The mass of copper is equal to the mass of zinc
| August 17, 2021 | education
An alloy with a mass of 3.9 kg consists of copper, zinc, nickel. The mass of copper is equal to the mass of zinc, and the mass of nickel is 0.6 kg less than the mass of copper. How many kg of nickel is in the alloy?
The mass of copper in the alloy is denoted by m kg. Then the mass of nickel in the alloy will be (m – 0.6) kg. Taking into account that the masses of copper and zinc in the alloy are the same, we find the desired mass of nickel from the equation:
2m + m – 0.6 = 3.9;
3m = 4.5;
m = 1.5 (kg) is the mass of copper in the alloy.
1.5 – 0.6 = 0.9 (kg) – the desired mass of nickel in the alloy.
Answer: 0.9 kg.
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