A and B are two alloys of gold and copper pre | vedclass

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(C) In alloy $A,$ the ratio of gold to copper is $5:3.$ The total parts are $5+3 = 8.$In alloy $B,$ the ratio of gold to copper is $5:11.$ The total p

Vedclass · Accepted Answer

$15:17$

Vedclass · Answer

(C) In alloy $A,$ the ratio of gold to copper is $5:3.$ The total parts are $5+3 = 8.$In alloy $B,$ the ratio of gold to copper is $5:11.$ The total parts are $5+11 = 16.$To mix equal quantities,we make the total parts equal. The least common multiple of $8$ and $16$ is $16.$For alloy $A,$ multiply the ratio by $2$: $(5 	imes 2) : (3 	imes 2) = 10:6.$For alloy $B,$ the ratio remains $5:11.$When equal quantities are melted to form alloy $C,$ the total gold is $10 + 5 = 15$ and the total copper is $6 + 11 = 17.$Therefore,the ratio of gold to copper in alloy $C$ is $15:17.$

$A$ 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

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