Problema Solution
Most gold jewelry is 14-karat gold, approximately 58% gold. If 18-karat gold is 75% gold and 12-karat gold is 50% gold, how much of each should be used to make a 14-karat gold bracelet weighing 350 grams?
Answer provided by our tutors
let
x = grams of 18-karat gold
y = grams of 12-karat gold
x and y are used to make 14-karat gold bracelet weighing 350 grams
x + y = 350
0.75x + 0.50y = 0.58*350
by solving we find
x = 112 g
y = 238 g
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112 grams of the 18-karat gold and 238 grams of the 12-karat gold should be used.