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Two alloys are made up of tin and brass. The ratio of tin and brass in alloy first is 2 ∶ 3 and in the alloy second is 4 ∶ 1 respectively. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in the ratio of 4 ∶ 3.

Two alloys are made up of tin and brass. The ratio of tin and brass in alloy first is 2 ∶ 3 and in the alloy second is 4 ∶ 1 respectively. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in the ratio of 4 ∶ 3. Correct Answer 1 ∶ 2

Given:

The ratio of tin and brass in alloy one = 2 ∶ 3

The ratio of tin and brass in alloy second = 4 ∶ 1

Calculation:

Amount of tin in first alloy = 2/5

Amount of tin in second alloy = 4/5

Using allegation method,

⇒ 

⇒ Ratio = 8 : 6

⇒ Ratio = 4 : 3

∴ The required ratio is 4 : 3.

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