A jeweler wants to make 1600 grams of 25% silver compound by mixing 20% and 40% silver compounds together. How many grams of each kind will she need?

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A jeweler wants to make 1600 grams of 25% silver compound by mixing 20% and 40% silver compounds together. How many grams of each kind will she need?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You need 1600 grams so x + y = 1600 .20x + .40y = .25(1600) x + y = 1600 20x + 40y = 25(1600) multiplied by 100 x + y = 1600 20x + 40y = 40000 -20x - 20y = -32000 multiplied by -20 20x + 40y = 40000 20y = 8000 y = 400 x + y = 1600 x + 400 = 1600 x = 1200 So 1200 grams of the 20% 400 grams of the 40%
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