The alloy is composed of copper, tin and zinc. The mass of copper is 60% of the mass of tin, and the mass

| September 7, 2021 | education

The alloy is composed of copper, tin and zinc. The mass of copper is 60% of the mass of tin, and the mass of zinc is 20% of the mass of tin. What is the mass of an alloy if it contains 300 g more copper than zinc?

1) Let us denote the mass of tin per gram, then the mass of copper, equal to 60%, will be 0.6y, and the mass of zinc, respectively, 0.2y. Then we get the equation:

0.6y – 0.2y = 300,

0.4y = 300,

y = 300 / 0.4,

y = 750.

Let’s find what the copper content in grams is equal to:

2) 750 * 0.6 = 450 (g).

Let’s find what the zinc content in grams is equal to:

3) 750 * 0.2 = 150 (g).

This means that the entire alloy has a mass:

4) 750 + 450 + 150 = 1350 (g)

Since 1000 g = 1 kg, you can translate 1350 g = 1 kg 350 g.

Answer: the mass of the alloy is 1 kg 350 g.



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