GATE EC 2018 Set 1 — Question 7
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Question
Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is __________.
Correct answer
(B) 7:13
Solution
Let the equal mass of alloys A and B taken be kg.Alloy A:
Ratio of Gold : Copper = 2:3
Mass of Gold in alloy A =
Mass of Copper in alloy A = Alloy B:
Ratio of Gold : Copper = 3:7
Mass of Gold in alloy B =
Mass of Copper in alloy B = Alloy C:
Alloy C is formed by melting equal masses of A and B. The total mass of alloy C is .
Total mass of Gold in alloy C = Mass of Gold in A + Mass of Gold in B
Total mass of Copper in alloy C = Mass of Copper in A + Mass of Copper in B
The ratio of gold to copper in alloy C is:
So, the ratio is 7:13.
Ratio of Gold : Copper = 2:3
Mass of Gold in alloy A =
Mass of Copper in alloy A = Alloy B:
Ratio of Gold : Copper = 3:7
Mass of Gold in alloy B =
Mass of Copper in alloy B = Alloy C:
Alloy C is formed by melting equal masses of A and B. The total mass of alloy C is .
Total mass of Gold in alloy C = Mass of Gold in A + Mass of Gold in B
Total mass of Copper in alloy C = Mass of Copper in A + Mass of Copper in B
The ratio of gold to copper in alloy C is:
So, the ratio is 7:13.
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