SOLUTION: A silversmith mixed 25 g of a 80% silver alloy with 50 g of a 25% silver alloy. What is the percent concentration of the resulting alloy? (Round to the nearest tenth of a percent.)

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Question 622902: A silversmith mixed 25 g of a 80% silver alloy with 50 g of a 25% silver alloy. What is the percent concentration of the resulting alloy? (Round to the nearest tenth of a percent.)
Answer by nerdybill(7384) About Me  (Show Source):
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A silversmith mixed 25 g of a 80% silver alloy with 50 g of a 25% silver alloy. What is the percent concentration of the resulting alloy? (Round to the nearest tenth of a percent.)
.
Let x = concentration
then
.80(25) + .25(50) = x(25+50)
20 + 12.5 = x(75)
32.5 = x(75)
32.5/75 = x
0.433 = x
43.3% = x