Question 513554: A goldsmith mixed 10 grams of a 50% gold alloy with 40 grams of 15% gold alloy. What is the percent concentration of the resulting alloy? Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website! Alloy A
Amount = 10 grams
Concentration =50% =0.5
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Alloy B
Amount = 40
Concentration =15% = 0.15
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Final Alloy
Amount =50
Concentration =x
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[Amount Alloy A * Concentration A] + [Amount Alloy B * Concentration of B] = Amount of Final Alloy * Concentration of Final Alloy
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(10)(0.5)+(10)(0.15)=(50)(x)
5+1.5=50x
6.5=50x
6.5/50=50x/50
0.13=x
x=0.13
x=13/100=13%
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A goldsmith mixed 10 grams of a 50% gold alloy with 40 grams of 15% gold alloy which will result in 50 grams of a 13% gold alloy.
