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Gold (A)=5/8
Gold (B)=5/16
Ratio in which A and B is mixed is 1:1.

Gold ratio (in mixture C) = (5/8 + 5/16)/2 = 15/32
Gold : Copper (in mixture C) = 15/(32-15) =15/17
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What I did might be a little unconventional and may not work for all such problems but

Alloy A is 5:3, which is 5/8 Gold and 3/8 Copper
Alloy B is 5:11 which is 5/16 Gold and 11/16 Copper

Now, we add these alloys in equal parts to form Alloy C
so I just added the Golds and the Coppers, giving me
15/16 for gold and 17/16 for Copper.

Cancel out the 16s and you will have your answer.
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