Two alloys of gold and copper are mixed in the ratio 2:3. The first alloy has gold and copper in the ratio 4:1, and the second in the ratio 1:4. What is the ratio of gold to copper in the resulting mixture?
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Correct answer: A
Explanation
Given:
Alloy₁ (Gold : Copper) = 4 : 1
Alloy₂ (Gold : Copper) = 1 : 4
Mixing Ratio = 2 : 3
Alloy₁ (2 parts) ⇒
Gold = 2 × (4/5) = 8/5
Copper = 2 × (1/5) = 2/5
Alloy₂ (3 parts) ⇒
Gold = 3 × (1/5) = 3/5
Copper = 3 × (4/5) = 12/5
Gold = 8/5 + 3/5 = 11/5
Copper = 2/5 + 12/5 = 14/5
Ratio = 11/5 : 14/5 = 11 : 14