The alloy of silver and gold weighs 26 kg. silver makes up 30% of the mass of gold. how many

The alloy of silver and gold weighs 26 kg. silver makes up 30% of the mass of gold. how many kg of silver is there in this alloy?

We take the weight of silver as x kg.

We take the weight of gold as y kg.

30% is 0.3 of the whole, which means the weight of silver will be (0.3 * y) kg.

Let’s compose the equations according to the conditions of the problem.

1) x + y = 26.

2) x = 0.3 * y.

Substitute the second equation into the first.

0.3 * y + y = 26.

1.3 * y = 26.

y = 26: 1.3.

y = 20 kg, weight in gold.

Find the weight of the silver.

x = 0.3 * 20 = 6 kg.

Answer: 6 kg of silver in this alloy.