Multiple choice

A compound contains zinc and bronze in the ratio of 5 : 2 and another compound contains zinc and bronze in ratio of 13 : 1. In what ratio must the two compounds be mixed to obtain a new compound containing zinc and bronze in the ratio of 6 : 1?

  1. 6 : 1

  2. 4 : 1

  3. 3 : 1

  4. 1 : 2

  5. None of these
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D Correct answer
Explanation

Using the method of alligation, the first compound has 5/7 zinc and the second has 13/14 zinc. The target mixture has 6/7 zinc. The differences are |13/14 - 12/14| = 1/14 and |10/14 - 12/14| = 2/14. The ratio is 1/14 : 2/14, which simplifies to 1 : 2.

AI explanation

Applying the method of alligation to the zinc fractions, the first compound is 5/7 zinc, the second is 13/14 zinc, and the target is 6/7 zinc. The ratio of the quantities needed is (13/14 - 6/7) : (6/7 - 5/7). This simplifies to 1/14 : 1/7, which results in a final mixing ratio of 1 : 2.

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