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A metallurgist has an alloy with 15​% titanium and an alloy with 30​% titanium. He needs 100 grams of an alloy with 21​% titanium. How much of each alloy should be mixed to attain the 100 grams of alloy with 21​% ​titanium?

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He needs 100g of the 21% alloy, and 0g of the 15% alloy to attain the 100g of 21% titanium.

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