Find the mass of an alloy consisting of 5 parts of copper and 7 parts of zinc and 5 parts

Find the mass of an alloy consisting of 5 parts of copper and 7 parts of zinc and 5 parts of tin if the mass of tin is 1 kilogram 200 grams less than the mass of zinc.

Let’s find the difference by how many parts of tin are taken less than zinc:

1) 7 – 5 = 2 (h.)

Since the difference in the mass of the same metals is known, we will find how much one part weighs in the alloy, having previously made the conversion of the mass into grams:

1 kg 200 g = 1200 g,

2) 1200/2 = 600 (g).

Let’s calculate how many parts an alloy consisting of copper, zinc and tin contains:

3) 5 + 7 + 5 = 17 (h.)

Let’s find what the mass of the entire alloy is equal to:

4) 600 * 17 = 10200 (g)

or

10200 g = 10 kg 200 g.

Answer: the mass of the entire alloy is 10 kg 200 g.