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27 January, 01:57

A metallurgist has an alloy with 10 % titanium and an alloy with 30 % titanium. He needs 100 grams of an alloy with 24 % titanium. How much of each alloy should be mixed to attain the 100 grams of alloy with 24 % titanium?

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  1. 27 January, 02:25
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    Setup:

    0.1x + 0.3 (100 - x) = 0.24 (100)

    0.1x + 30 - 0.3x = 24

    -0.2x = - 6

    x = 30 g amt of 10% alloy

    amt of 30 % alloy = 100 - 30 = 70g
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