SOLUTION: Dr. Kingsley took 60 ounces of a 20% gold alloy and mixed it with a 30% gold alloy to get a 24% gold alloy. How many ounces of the 30% gold alloy did he use?
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Question 136095: Dr. Kingsley took 60 ounces of a 20% gold alloy and mixed it with a 30% gold alloy to get a 24% gold alloy. How many ounces of the 30% gold alloy did he use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Dr. Kingsley took 60 ounces of a 20% gold alloy and mixed it with a 30% gold alloy to get a 24% gold alloy. How many ounces of the 30% gold alloy did he use?
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20% DATA:
Amount = 60 oz ; amt. of gold = 0.20*60 = 12 oz
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30% DATA:
Amount = x oz ; amt. of gold = 0.30x oz
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Alloy DATA:
Amount = x+60 oz ; amt of gold = 0.24(x+60) oz
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EQUATION:
gold + gold = gold
12 + 0.30x = 0.24x + 14.4
0.06x = 2.4
x = 40 oz (Amount of 30% in the mixture)
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Cheers,
Stan H.
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