A and B are two alloys of gold and copper prepared by mixing

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5 : 3 and 5 : 11 respectively. Equal quantities of these alloys are melted to form a third alloy C. The ratio of gold and copper in the alloy C is

Let 1 kg of each of the alloys A and B be mixed together.
In alloy A,

Quantity of gold =	5	kg.
	8

Quantity of copper =	3	kg.
	8

In alloy B,

Quantity of gold =	5	kg.
	16

Quantity of copper =	11	kg.
	16

=		5	+	5		:		3	+	11
		8		16				8		16

=	15	:	17
	16		16

= 15 :17