Gold, platinum and silver

How many grams of sterling silver must be mixed with a silver alloy of 90% for alloy 500g 91% silver?

Sterling Silver is 92.5% pure silver. How many grams of sterling silver must be mixed with a silver alloy of 90% for alloy 500g 91% silver?

Let X and Y weight in grams of silver alloy and 90% for the 500 grams to 91%. So x + y = 500 the number of grams of pure silver in X plus the number of grams of pure silver and is equal to the number of grams of pure silver in the 500 grams. Pure silver is given in percentage. So x + 92.5% and 90% = 91% 500 Other 500 - x in the equation above and write 92.5% + 90% x (500 - x) = 91% 500 simplify and solve 92.5 x + 45000 - 90 x = X 45,500 = 200 grams. 200 grams of sterling silver is required for the alloy of 91%.

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