SOLUTION: A bracelet that is supposed to be 18-Karat Gold weighs 238 grams. Gold weighs 19.3 grams per cubic centimeter. Copper weights 9 grams per cubic centimeter. The volume of the br

Algebra ->  Systems-of-equations -> SOLUTION: A bracelet that is supposed to be 18-Karat Gold weighs 238 grams. Gold weighs 19.3 grams per cubic centimeter. Copper weights 9 grams per cubic centimeter. The volume of the br      Log On


   



Question 919236: A bracelet that is supposed to be 18-Karat Gold weighs 238 grams. Gold weighs 19.3 grams per cubic centimeter. Copper weights 9 grams per cubic centimeter. The volume of the bracelet is 15 cubic centimeters of gold and copper. Is the bracelet really 18-Karat Gold?
How do I set this problem in a system of equation? (Substitution,Graphing &Elimination)

Much thanks . (:

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If the bracelet were 100% gold, it would weigh
Weight+=+Volume+%2A+%28grams%2Fcc%29
Using the info given in the problem, the volume is 15cc and gold weighs 19.3%28g%2Fcc%29%7D%7D%0D%0A%0D%0AThus+%7B%7B%7BWeight+=+15+%2A+19.3+=+289.5 for a pure gold bracelet.
This one weighs only 238. So it is 'less than 18k gold' and the bracelet is not really 18-Karat Gold