SOLUTION: A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which w

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Question 393357: A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold?
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Equation:
gold + gold = gold
0.70x + 0.60(100-x) = 0.66*100
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Multiply thru by 100 to get:
70x + 60*100 - 60x = 66*100
10x = 6*100
x = 60 oz (amt. of 70% alloy needed in the mix)
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100-x = 40 oz (amt of 60% alloy needed in the mix)
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Cheers,
Stan H.