Question

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.
​

Answer 1

The mass of gold in the jewellery made of alloy of gold and copper of 18.2 kg is 7 kg.

Step-by-step explanation:

The ratio of the mass of gold and copper in the jewellery piece = 5:8

The jewellery is made up of an alloy of gold and copper and the mass of this alloy is given = 18.2 kg

Therefore,

The mass of the gold in the jewellery will be,

= [$\frac{5}{5+8}$] * 18.2

= [$\frac{5}{13}$] * 18.2

= 5 * 1.4

= 7 kg

Thus, the mass of gold in it is 7 kg.

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Answer 2

Answer:

The mass of gold in the alloy is 7 kg

Step-by-step explanation:

Given the mass of the alloy and the ratio of the masses of the metals, we can get the mass of gold and copper.

The mass of the alloy = 18.2 kg

The ratio of gold to copper = 5:8

We need to get the sum of the ratios.

The sum of the ratios is given as follows:

Sum of ratio = 5 + 8 = 13

The mass of gold in the alloy is therefore:

5/13 × 18.2 = 7 Kg

The mass of copper = 18.2 - 7 = 11.2 kg