A and B are 2 alloys of gold and copper prepared by mixing them in the ratio 3:2 and 5:8 respectively. If equal quantities of alloys are melted to form a third alloy then find the ratio of gold to copper in new alloy
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Let 1 kg of each one of A and B be taken to form 2 kg of C.
Gold in 1 kg of A = 7/9, copper in 1 kg of A = 2/9
Gold in 1 kg of B = 7/18, copper in 1 kg of B = 11/18
Gold in 2 kg of C = (7/9 + 7/18) = 21/18 = 7/6
Copper in 2 kg of C = (2/9 + 11/18) = 15/18 = 5/6
Ratio of gold and copper in C = 7/6 : 5/6 = 7:5
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