The alloy consists of copper, zinc and nickel, the masses of which are proportional to the numbers 13,4,3.

The alloy consists of copper, zinc and nickel, the masses of which are proportional to the numbers 13,4,3. What is the mass of an alloy if it is known that it contains 2.4 kg more copper than nickel?

1. Let’s check how many parts of copper are more than nickel:
13 – 3 = 10 pieces.
2. If the number of parts of copper is 10 parts more than nickel, which corresponds to the difference in their masses of 2.4 kg, we calculate the mass of one part:
2.4 kg / 10 = 0.24 kg.
3. Determine how many parts the alloy contains by adding up the parts of its constituent metals:
13 + 4 + 3 = 20.
4. Multiply the weight of one part by 20, we get the mass of the alloy:
0.24 * 20 = 4.8 kg.
Answer: the mass of the alloy is 4.8 kg.