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.
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