Problema Solution

A metallurgist needs to make 12.4 lb. of an alloy containing 50% gold. he is going to melt and combine one metal that is 60% gold with another metal that is 405 gold. How much of each should he use?

Answer provided by our tutors

set the first metal xlb,

the second metal ylb,

60%x+40%y=50%(x+y),

x+y=12.4;

then

x=y=6.2;

each should be used 6.2lb.