Question

White gold is made from gold, palladium, nickel and zinc in the ratio 15:2:2:1. A white gold ring contains 9g of gold. What is the mass of the ring?​

Answer 1

The mass of the ring is 12 grams.

Explanation:

Total 20 parts

Gold 3/4 total mass (15/20)

3/4=9g

1/4=3g

4/4=12g

Answer 2

mass of the ring = 12 g

Explanation:

Given ratio

gold : palladium : nickel : zinc = 15 : 2 : 2 : 1

Add the ratios: 15 + 2 + 2 + 1 = 20

Therefore, as a fraction, gold is
`\sf (15)/(20)=\frac34` of the total mass of the ring.

Let the mass of the ring = x

As the ring containts 9 g of gold

`\sf \implies \frac34x=9`

`\sf \implies x=9 \cdot \frac43`

`\sf \implies x=12`

Therefore, the mass of the ring is 12 g

comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.