SOLUTION: A goldsmith has 60 pounds of an alloy that is 50% pure gold. How many pounds of an alloy that is 75% pure gold, must be combined with the given 60 pounds of alloy that is 50% pure

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Question 369696: A goldsmith has 60 pounds of an alloy that is 50% pure gold. How many pounds of an alloy that is 75% pure gold, must be combined with the given 60 pounds of alloy that is 50% pure gold to form an alloy that will be 72% pure gold?
So far, I have done x+y=72 (not quite sure though if that equation is correct)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 75% gold.
Look at the concentrations.
75A%2B50%2860%29=72%28A%2B60%29
75A%2B3000=72A%2B4320
3A=1320
highlight%28A=440%29lbs