Multiple choice

An alloy contains zinc and tin in the ratio 3 : 4. Another alloy contains zinc and silver in the ratio 4 : 3. If both the alloys are melted and mixed in equal ratio, what will be the ratio of zinc and tin in the new alloy?

  1. 4 : 3

  2. 7 : 4

  3. 1 : 1

  4. 3 : 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Alloy 1 has Zinc:Tin = 3:4. Alloy 2 has Zinc:Silver = 4:3. Mixing equal parts means taking 1/2 of each. Zinc content = 1/2(3/7) + 1/2(4/7) = 7/14 = 1/2. Tin content = 1/2(4/7) = 2/7. The ratio of Zinc to Tin is (1/2) / (2/7) = 7/4.

AI explanation

Let the equal mixing quantity be 1 unit for each alloy. The first alloy provides 3/7 parts zinc and 4/7 parts tin, while the second alloy provides 4/7 parts zinc and no tin. The total zinc is 3/7 + 4/7 = 1 whole unit, and the total tin is 4/7 units. The resulting ratio of zinc to tin is 1 to 4/7, which simplifies to 7 to 4.

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