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Mixing Math problem

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

Solutions

Expert Solution

Let x and y be the weights, in grams, of sterling silver and of the 90% alloy to make the 500 grams at 91%. Hence

x + y =500

The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams. The pure silver is given in percentage forms. Hence

92.5% x + 90% y = 91% 500

Substitute y by 500 - x in the last equation to write

92.5% x + 90% (500 - x) = 91% 500

Simplify and solve

92.5 x + 45000 - 90 x = 45500

x = 200 grams.

200 grams of Sterling Silver is needed to make the 91% alloy.

Answer  is 200 gram

Nipun Maity answered 1 year ago
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