Multiple choice

Silver is 3 times heavier than water, and aluminium is 5 times heavier than water. In what ratio should silver and aluminum be mixed to obtain a mixture that is 4 times heavier than water?

  1. 5 : 4

  2. 4 : 5

  3. 1 : 1

  4. 2 : 5
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C Correct answer
Explanation

Using the alligation rule: (Weight of Silver - Mixture) / (Mixture - Weight of Aluminum) = (4-5) / (3-4) = -1 / -1 = 1:1.

AI explanation

Assign water a weight of 1, making the weights of silver and aluminum 3 and 5 respectively. Using the method of alligation, the required mean weight is 4. The ratio of silver to aluminum is (5 - 4) : (4 - 3). This gives a ratio of 1 : 1.

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