Multiple choice

Two ornaments weighing 18 g and 24 g, contain gold and silver in the ratio of 2 : 1 and 5 : 1 respectively. A new ornament is casted from these two ornaments. What is the amount of gold in the new ornament?

  1. 10 g

  2. 12 g

  3. 32 g

  4. 28 g

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ornament 1: 18g total, 2:1 ratio gold:silver means 12g gold, 6g silver. Ornament 2: 24g total, 5:1 ratio gold:silver means 20g gold, 4g silver. Total gold = 12 + 20 = 32g.

AI explanation

In the first 18 g ornament, the amount of gold is 2/3 of 18 g, which equals 12 g. In the second 24 g ornament, the amount of gold is 5/6 of 24 g, which equals 20 g. Casting a new ornament from these two combines their gold contents, yielding 12 g + 20 g = 32 g of gold.

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