SOLUTION: How many grams of gold should a coin of thirty - seven percent gold be when combined with a four grams pure gold necklace, when it forms a metal that is seventy - seven percent go

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Question 1042095: How many grams of gold should a coin of thirty - seven percent gold be when combined with a four grams pure gold necklace, when it forms a metal that is seventy - seven percent gold?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ow many grams of gold should a coin of thirty - seven percent gold be when combined with a four grams pure gold necklace, when it forms a metal that is seventy - seven percent gold?
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gold + gold = gold
0.37x + 1*4 = 0.77(x+4)
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37x + 100*4 = 77x + 44*4
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40x = 56*4
x = 56/10
x = 5.6 grams (amt of 37% needed)
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Cheers,
Stan H.
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Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

How many grams of gold should a coin of thirty - seven percent gold be when combined with a four grams pure gold necklace, when it forms a metal that is seventy - seven percent gold?
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This makes sense since a greater amount of the pure gold and a smaller amount of the 37% gold are needed.