An alloy of copper and tin weighing 10 kg, containing 2 kg more copper than tin, was fused with 10 kg of pure copper.

An alloy of copper and tin weighing 10 kg, containing 2 kg more copper than tin, was fused with 10 kg of pure copper. Determine the percentage of copper in the resulting solution.

Let’s find how much copper was in the copper-tin alloy initially. Let x kg – there was tin in the alloy, then (x + 2) kg there was copper in it. Let’s make an equation and solve it:

(x + 2) + x = 10,

x + 2 + x = 10,

2x + 2 = 10,

2x = 10 – 2,

2x = 8,

x = 8/2,

x = 4 kg.

We found the tin content of the alloy. Let’s find how much copper is in it:

4 + 2 = 6 kg.

Let’s find the mass of the resulting alloy:

10 + 10 = 20 kg.

Let’s find how much copper it contains:

6 + 10 = 16 kg.

Now we can find the percentage of copper in the resulting alloy:

(16/20) * 100 = 4/5 * 100 = 80%.

Answer: The percentage of copper in the resulting alloy is 80.