Question

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The ratio of mass of gold and copper in a jewellery piece is 5: 8. If the mass of alloy is 18.2 kg, find
the mass of gold in it.
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Answer 1

Call the mass of gold x.
Since there is more copper, at a ratio of 8 to 5, the amount of copper is (8/5)x.
Added together, they have a mass of 18.2 kg. Thus
x + (8/5)x = 18.2
(13/5)x = 18.2 ==> 13/5 = 2.6
x = 18.2 / 2.6
x = 7 kg gold

Answer 2

Mass, m = 7 kg

Explanation:

It is given that, the ratio of mass of gold and copper in a jewellery piece is 5:8. The mass of alloy is 18.2 kg. We need to find the mass of gold in it. Let the quantity of both metals is x. So,

$5x+8x=18.2$

$13x=18.2$

x = 1.4

The mass of gold in it is 5x.

So,

$gold=5\times 1.4$

Mass of gold is 7 kg. Hence, this is the required solution.

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