Question

Question 20: Shubhi saw a beautiful ring which was made of Electrum. Electrum is an alloy

of gold and silver with a small amount of other metals and is white in colour.

The ratio of gold and silver in a sample of electrum is 9:7.If the weight of the silver in that

sample of alloy is 9.8 kg. Then, what is the weight of the gold in the alloy?​

Answer 1

Answer:

5.5 kg of gold

Explanation:

4.3 kg of silver

Answer 2

Given:

Shubhi saw a beautiful ring which was made of Electrum.

Electrum is an alloy  of gold and silver with a small amount of other metals and is white in colour.

The ratio of gold and silver in a sample of electrum is 9:7.

If the weight of the silver in that  sample of the alloy is 9.8 kg

To find:

What is the weight of the gold in the alloy?​

Solution:

Since the ratio gold and silver in the sample of the alloy is 9:7, so, let's assume,

"9x" → the weight of gold in the sample of the alloy

"7x" → the weight of silver in the sample of the alloy

The weight of silver in the alloy = 9.8 kg

We get an equation as,

7x = 9.8

⇒ x = $\frac{9.8}{7}$

⇒ x = 1.4

∴ The weight of the gold in the alloy = 9x = 9 × 1.4 = 12.6 kg

Thus, the weight of the gold in the sample of electrum is → 12.6 kg.

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