Legislation 58863

To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation.

Correct answer:

x =  50 g

Step-by-step explanation:

m1=250 g k1=18/24=43=0.75  m2=200 g k2=14/24=1270.5833  k=14.6/24=120730.6083  m1 k1+m2 k2=(m1+m2+x) k 250 0.75+200 0.58333333333333=(250+200+x) 0.60833333333333  0.608333x=30.416667  x=0.6083333330.41666667=50  x=50=50 g

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